4.1 Kinematic & Dynamics Analysis and Offset Slider Crank Mechanism – Gateflix

Course Content

Module – GATE 21 ADDED SYLLAB

Chapter 1: Aptitude

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E-Book – GATE – 21 ADDED SYLLABUS

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Practice Set – GATE – 21 ADDED SYLLABUS

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Module – Theory of Machines

Chapter-1 Simple Mechanisms

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1.0 Theory of Machines Introduction

1.1 Kinematic Link or an Element and Kinematic Pairs

1.2 Classification of Kinematic Pairs

1.3 Kinematic Chains

1.4 Degree of Freedom

1.5 Kutzbach Equation and Gruibler’s Criterion

1.6 Simple Mechanisms, its inversions and Grashof’s law

1.7 Inversion of Single Slider Crank Mechanism

1.8 Inversion of Double Slider Crank Mechanism

1.9 Mechanical Advantage and Miscellaneous

1.10 Chapter-1 GATE Questions

Chapter-2 Velocity and Acceleration Analysis

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2.1 Introduction to Instantaneous Center

2.2 Kennedy’s Theorem and Instantaneous Center Approach

2.3 Theorem of Angular Velocity

2.4 Relative Velocity Approach

2.5 Acceleration Analysis

2.6 Chapter-2 GATE Questions

Chapter-3 Gears and Gear Trains

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3.1 Introduction and Classification of Gears

3.2 Gear Terminology and Law of Gearing

3.3 Involute Profile of Gear Teeth

3.4 Interference in Gears and Elimination of Interference

3.5 Cycloidal Profile of Gear Teeth

3.6 Gear Trains part-I

3.7 Gear Trains part-II

3.8 Chapter-3 GATE Questions

Chapter-4 Analysis of Single Slider Crank Mechanism

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4.1 Kinematic & Dynamics Analysis and Offset Slider Crank Mechanism

4.2 Chapter-4 GATE Questions

Chapter-5 Flywheel

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5.1 Turning Moment Diagram and Principle of working of Flywheel

5.2 Fundamental Equation of Flywheel and Requirement of Flywheel for Multi cylinder Engine

5.3 Types of Flywheel and Flywheel in Punching Press

5.4 Chapter-5 GATE Questions

Chapter-6 Governors

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6.1 Introduction of Governors and Watt’s Governor

6.2 Porter and Proell Governor

6.3 Hartnell Governor and Physical Characteristics of Governors

6.4 Governor Controlling Force and Controlling Force Diagram

6.5 Standard Questions on Governors

Chapter-7 Balancing

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7.1 Introduction and Static Balancing of Rotating Masses

7.2 Dynamic Balancing of Rotating Masses

7.3 Primary Balancing of Reciprocating Masses

7.4 Secondary Balancing of Reciprocating Masses and Role of Firing order in Balancing

7.5 Direct and Reverse Crank Method

7.6 Chapter-7 GATE Questions

Chapter-8 Mechanical Vibrations

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8.1 Introduction of Vibrations and Natural Vibrations

8.2 Energy Method and Torque Method

8.3 Torsional Vibration and Religh’s Method

8.4 Damped Vibration Systems

8.5 Force Damped Vibration and Magnification Factor

8.6 Vibration Isolation, Transmissibility Ratio and Critical Speed of Shaft

8.7 Chapter-8 GATE Questions

Chapter-9 Cams and Followers

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9.1 Introduction of Cams & Followers and their Classification

9.2 Cam Terminologies and Followers Derivatives

9.3 Types of Follower Motion

9.4 Standard Questions on Cams and Followers

Chapter-10 Gyroscope

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10.1 Introduction of Gyroscope

10.2 Gyroscopic Effects for Aircraft and Ships

10.3 Gyroscopic Effect for a Power plant Shaft and Automobile

E-Book – Theory of Machines

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Practice Set – Theory of Machines

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Mock Test – Theory of Machines

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Module – Thermal Engineering

Chapter 1: Basics of Thermodynamics

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1.1 Introduction of Thermodynamics

1.2 Thermodynamic System & Processes

1.3 Zeroth Law of Thermodynamics & Thermometric Principle

1.4 (a) Thermodynamic Work Transfer (b) Thermodynamic Work Transfer Examples

1.5 First Law of Thermodynamics

1.6 Heat Transfer in Various Processes

1.7 Steady & Unsteady Flow Energy Equation

1.8 GATE Questions (Practice Quiz also available)

Chapter 2: Second Law of Thermodynamics

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2.1 Concept of 2nd Law of Thermodynamics

2.2 Thermodynamic Temperature Scale

2.3 Entropy & Clausius Inequality

2.4 Physical Meaning of Entropy and Entropy Changes of Gases, Liquid & Solid

2.5 GATE Questions on Second Law of Thermodynamics (Practice Quiz also available)

Chapter 3: Available Energy/Exergy/Availability

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3.1 Concept of Available Energy (Exergy) & Change in Exergy due to Finite Temperature Difference

3.2 Exergy Associated with K.E & P.E, Exergy Change of a System (Closed & Open), and Concept of Irreversibility

3.3 Second Law Efficiency & Solved Examples on Exergy

3.4 GATE Questions on Exergy

Chapter 4: Thermodynamic Relation

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4.1 Maxwell, Tds & Energy Equations

4.2 Joule-Thompson Coefficient, Clapeyron & Clausius-Clapeyron Equations

4.3 Solved Examples on Thermodynamic Relation

4.4 GATE Questions on Thermodynamic Relation

Chapter 5: Introduction of Heat Transfer

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5.1 Introduction of Heat Transfer (Difference between Heat Transfer & Thermodynamics, Modes of Heat Transfer, Variation of Thermal Conductivity)

5.2 Introduction of Heat Transfer (Laws of Heat Transfer)

Chapter 6: Conduction

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6.1 Conduction (Through a Slab, Electrical Analogy of Heat Transfer, Conductive Thermal Resistance, Through Composite Slab)

6.2 Conduction (Convection Thermal Resistance, Conduction-Convection Heat Transfer Through a Composite Slab, Overall Heat Transfer Coefficient, and Examples)

6.3 Conduction (Radial Conduction Heat Transfer Through a Hollow Cylinder & Composite Cylinder and an Example)

6.4 Conduction (Conduction-Convection Heat Transfer Through a Composite Cylinder and an Example)

6.5 Conduction (Generalized Conduction Equation and Thermal Diffusivity)

6.6 Conduction (Critical Radius of Insulation & Its Physical Significance, and Examples)

6.7 Conduction (Heat Generation in a Slab and an Example)

6.8 Conduction (Radial Conduction Heat Transfer Through a Hollow Sphere, Critical Radius of Insulation for Spherical Condition, and Variable Thermal Conductivity)

6.9 Conduction (Heat Generation in Cylinder or Wire and an Example Based on Internal Heat Generation)

Chapter 7: Radiation

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7.1 Fundamentals of Thermal Radiation

7.2 Basic Definitions/Terminologies of Thermal Radiation

7.3 Laws of Thermal Radiation (Kirchhoff, Planck, Wien’s Displacement, Stefan-Boltzmann, Lambert Cosine)

7.4 Shape Factor (Concept of Shape Factor & Relations: Reciprocity, Summation, Superposition, Symmetry)

7.5 Radiation Network & Radiation Exchange

7.6 Radiation Shields & Radiation Effect in Temperature Measurement

Chapter 8: Convection

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8.1 Introduction to Convection Heat Transfer

8.2 Basics of Forced Convection Heat Transfer

8.3 Thermal Boundary Layer Concept

8.4 External Forced Convection (Flow Over a Flat Plate)

8.5 Internal Forced Convection (Flow Through Pipe or Duct)

8.6 Natural or Free Convection-1

E-Book – Thermal Engineering

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Practice Set – Thermal Engineering

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Mock Test – Thermal Engineering

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Module – Industrial Engineering (Operations Research & Project Management)

Chapter 1: Basic of Industrial Engineering

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1.1 Basic of Industrial Engineering

1.2 Break Even Analysis

1.3 GATE Questions

Chapter 2: Inventory Control

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2.1 Basic Inventory Control

2.2 Deterministic Model Part 1

2.3 Deterministic Model Part 2

2.4 Probability & Inventory Management Technique

2.5 GATE Questions

Chapter 3: Fore Casting

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3.1 Fore Casting

3.2 GATE Questions

Chapter 4: Queuing Theory

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4.1 Queuing Theory

4.2 GATE Questions

Chapter 5: Sequencing

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5.2 GATE Questions

Chapter 6: Project Management

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6.1 Basic Introduction to Project Management

6.3 Critical Path Method

6.4 GATE Questions

Chapter 7: Linear Programming

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7.1 Graphical Methods

7.2 Simplex Method

7.3 Transportation

7.4 GATE Questions

E-Book – Industrial Engineering (Operations Research & Project Management)

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Practice Set – Industrial Engineering (Operations Research & Project Management)

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Mock Test – Industrial Engineering(Operations Research & Project Management)

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Module – Manufacturing Processes I and II

Chapter-1 Metal Casting

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1.1 Basics of Metal Casting

1.2 Allowances in Casting

1.3 Types of Pattern and its materials

1.4 Mould Making & Properties of Sand

1.5 Core Making

1.6 Paddings & Chills

1.7 Pouring & Solidifications

1.8 Gating System

1.9 Aspiration Effect

1.10 Solidifications Type, Time and Felting & Inspections

1.11 Riser & Riser Design

1.12 Riser for plate & Disc shaped casting

1.13 Special Casting

1.14 Defects in Casting

1.15 Metal Casting GATE Questions

Chapter-2 Metal Forming

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2.1 Introduction of Metal Forming

2.2 Strain Hardening

2.3 Yield Point Phenomenon & Hot Working

2.4 Flow stress & Flow curve Equations

2.5 Plastic Deformation & Yield Criteria

2.6 Rolling Process

2.7 Wire drawing

2.8 Tube Drawing & Extrusion Process

2.9 Forging Operations

2.10 Defects in Metal Forming

2.11 Metal Forming GATE Questions

Chapter-3 Sheet Metal Operations

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3.1 Sheet Metal Operations

3.2 Deep Drawing

3.3 Bending & Minor Sheet Metal Operations

3.4 Special Metal Forming Processes

3.5 Sheet Metal Operations Gate Questions

Chapter-4 Metal Cutting

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4.1 Introduction to Metal cutting

4.2 Influence of tool geometry on various parameters

4.3 Mechanics of Machining

4.4 Shear Angle, Velocities, Shear Strain & Rate of Shear Strain

4.5 Orthogonal and oblique Cutting

4.6 Force in the Metal Cutting Operation

4.7 Shear Stress, Work Done & Specific Cutting Energy

4.8 Heat Generations in Cutting

4.9 Tool Failure Criteria & Tool Life

4.10 Economics of Machining

4.11 Conversion of Oblique Cutting to Orthogonal Cutting

4.12 Tool Materials

4.13 Grinding Operations

4.14 Metal Cutting GATE Questions

Chapter-5 Non Traditional Machining

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5.1 Non Traditional Machining-I (AJM,USM & ECM )Draft Lesson

5.2 Non Traditional Machining-II (EDM,EBM,LBM& USM )

5.3 Non Traditional Machining GATE Questions

Chapter-6 Computer Integrated Manufacturing System

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6.1 Introduction to advanced Machining Methods

6.2 Computer Integrated Manufacturing-I

6.3 Computer Integrated Manufacturing-II

6.4 Computer Integrated Manufacturing GATE Questions

Chapter-7 Welding

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7.1 Gas Welding

7.2 Arc and Thermit Welding

7.3 Resistance Welding

7.4 Soldering, Brazing & Braze Welding

7.5 Setting of Power Sources

7.6 Welding GATE Questions

Chapter-8 Metrology and Inspection

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8.1 Introduction of Metrology and Linear Measurements

8.2 Limits, Fits and Tolerances Part-1

8.3 Limits, Fits and Tolerances Part-2

8.4 Comparators

8.5 Form and Finish Measurement

8.6 Limit Gauges Part-1

8.7 Limit Gauges Part-2

8.8 Angular MeasurementsDraft Lesson

8.9 Machine Tool Metrology (Alignment & Testing Methods)

8.10 Metrology and Inspection GATE Questions

E-Book – Manufacturing Processes I and II

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Practice Set – Manufacturing Processes I and II

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Mock Test – Manufacturing Processes I and II

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Module – Engineering Mathematics

Chapter-1: Limit

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1.1 Introduction to Limit

1.2 Indeterminate forms

1.3 Methods to Solve Limit

1.4 Factoring Method

1.5 Rationalisation method

1.6 Expansion method

1.7 L-Hospital Rule

1.8 Failure of L-Hospital Rule

1.9 Approximation method

1.10 Limit involving modulus function

1.11 Limit involving Riemann integration

1.12 Limit involving greatest integer function

1.13 Various exams questions and practice questions

Chapter 2: Continuity

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2.1 Introduction to Continuity

2.2 Types of Continuity

2.3 Types of Discontinuity

2.4 Continuity in an interval [a,b]

2.5 Continuity of P(X)/Q(X)

2.6 Continuity of modulus function

2.7 Various exam questions and practice questions

Chapter 3: Differentiabilty

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3.1 Introduction to Differentiability

3.2 Differentiability of modulus function

3.3 Various exam questions

Chapter 4: Properties of function

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4.1 Monotone function

4.2 Increasing and decreasing function

4.3 Concave upward and downward

4.4 Point of inflection

Chapter 5: Maxima & Minima

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5.1 Local Maxima & Local Minima

5.2 Absolute maximum and absolute minimum

5.3 Maximum & minimum value of a function in the given interval

Chapter 6: Min value theorem

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6.1 Intermediate MVT

6.2 Integral form of intermediate MVT

6.3 Rolle’s MVT

6.4 Lagrange’s MVT

6.5 Integral form of Lagrange’s MVT

6.6 Cauchy’s MVT

6.7 Various exam questions

Chapter 7: Integration

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7.1 Integration

Chapter 8: Linear algebra

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8.1 Linear Transformation

8.2 Introduction to matrices

8.3 Rank & Nullity

8.4 System of Linear equations

8.5 Eigenvalues & Eigenvectors

8.6 Number of linearly independent Eigenvectors

8.7 Diagonalization of matrix

8.8 Some important properties of special matrices

8.9 GATE questions

Chapter 9: Probability distribution

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9.1 Discrete probability distribution

9.2 Binomial distribution

9.3 Poisson distribution

9.4 Continuous probability distribution

9.5 Uniform distribution

9.6 Exponential distribution

9.7 Normal distribution

9.8 Mean, Median, and Mode of probability distribution

9.9 Expectation, second moment, variance, and standard deviation

9.10 Cumulative distribution

9.11 Joint probability distribution

9.12 GATE questions

Chapter 10: Statistics

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10.1 Statistics

Chapter 11: Differential equation

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11.1 Introduction to Differential equations

11.2 Order and degree of Differential equations

11.3 Ordinary and partial differential equations

11.4 Linear and nonlinear differential equations

11.5 Homogeneous and nonhomogeneous differential equations

11.6 Methods to solve first-order first-degree differential equations

11.7 Variable separable method

11.8 Leibnitz differential equations

11.9 Bernoulli’s differential equations

11.10 Differential equations with homogeneous functions

11.11 Differential equation dy/dx=f(ax+by+c)

11.12 Higher order differential equations with constant coefficients

11.13 Higher order differential equations with variable coefficients

11.14 Partial differential equations

11.15 GATE questions

Chapter 12: Numerical methods

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12.1 Numerical Integration

12.2 Numerical Differentiation

12.3 Roots of Equations

Chapter 13: Complex analysis

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13.1 Introduction to complex numbers

13.2 Limit, continuity, and differentiability

13.3 Analytic functions

13.4 Entire function

13.5 Complex differentiation

13.6 Zeros & Singularity: Poles, essential singularity, Harmonic singularity

13.7 Residues at poles and essential singularity

13.8 Complex integration – Open path closed path

13.9 GATE questions

Chapter 14: Vector analysis

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14.1 Vector Analysis

14.2 Vector Analysis

14.3 Vector Analysis

14.4 Vector Analysis

Chapter 15: Laplace transform

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15.1 Laplace Transform

E-Book – Engineering Mathematics

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Practice Set – Engineering Mathematics

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Mock Test – Engineering Mathematics

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Module – Verbal Ability

Chapter-1: Noun

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Chapter-2: Pronoun

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Chapter-3: Subject And Verb Agreement

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3.1 Subject-And-Verb-Agreement

Chapter-4: Tenses

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Chapter-5: Modifiers

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5.1 Modifiers -1

5.2 Modifiers -2

Chapter-6: Vocabulary Building

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6.1 Linking word technique

6.2 Root word technique

6.3 Types of vocabulary questions

6.7 Various Exam questions and practice questions

Chapter-7: Verbal Logic

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7.1 Course of Action

7.2 Critical Reasoning

7.3 Summary Type Questions

7.4 Deductive Logic & Logical Consistency

Chapter-8: Reading Comprehension (RC)

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8.1 Introduction to Reading Comprehension

8.2 Reading Comprehension – Tones

8.3 Reading Comprehension – How to Solve Questions

Chapter-9: Articles & Prepositions

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9.1 Articles & Prepositions

E-Book – Verbal Ability

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Practice Set – Verbal Ability

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Mock Test – Verbal Ability

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Module – Logical Reasoning

Chapter 1: Series

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Chapter 2: Coding and Decoding

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2.1 Coding and Decoding

Chapter 3: Analytical Reasoning (AR) or Data Arrangement

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3.1 Analytical Reasoning (AR) or Data Arrangement

Chapter 4: Blood Relations

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4.1 Blood Relations

Chapter 5: Calendars

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Chapter 6: Data Interpretation

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6.2 Data Interpretation

Chapter 7: Directions

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Chapter 8: Syllogism

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E-Book – Logical Reasoning

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Practice Set – Logical Reasoning

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Mock Test – Logical Reasoning

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Module – Quantitative Aptitude

Chapter 1: Numbers System

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1.1 Types of Numbers

1.2 Divisibility Rules

1.3 Cyclicity or Fundamental to Find Last Digit

1.4 Concept of HCF/LCM and its Application

1.6 Highest Power and Trailing Zeros

1.8 Number System Exam Questions

1.9 Cyclicity – Last Digit (Unit Place)

1.10 Cyclicity – Last 2 Digits

1.11 Remainder Theorem

1.12 Base System

1.13 Right Most Non-zero Digit

Chapter 2: Percentages and Application

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2.1 Introduction to Percentage

2.2 Change of Base

2.3 Profit Loss and Discount Concept

2.4 Simple Interest and Compound Interest

2.5 Faulty Weights

2.6 Successive Percentage Change

2.7 Percentage Exam Questions

Chapter 3: Ratio, Proportion, and Mixtures

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3.1 Introduction to Ratio

3.2 Introduction to Proportion

3.3 Partnership

3.4 Alligation & Mixture

3.5 Ratio & Proportion Exam Questions

Chapter 4: Time Speed and Distance

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4.1 Relation Between Time, Speed & Distance

4.2 Average Speed

4.3 Relative Speed

4.4 Boats & Stream

4.6 Time, Speed & Distance Exam Questions

Chapter 5: Time and Work

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5.1 Introduction to Time & Work

5.2 Different Types of Questions of Time & Work

5.3 Time & Work Exam Questions

Chapter 6: Geometry

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6.2 Triangles & Properties

6.3 Quadrilateral

6.6 Trigonometry

6.7 Geometry & Mensuration (Higher Concept)

6.8 Mensuration

6.9 Geometry Exam Questions

Chapter 7: Permutation and Combination

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7.1 Arrangement Based on Alphabets

7.2 Arrangement Based on Numbers

7.3 Rank in Dictionary

7.4 Combination

7.5 Application of Combination

7.6 Permutation

7.7 Permutation & Combination Exam Questions

Chapter 8: Probability and Set Theory

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8.1 Introduction to Probability

8.2 Types of Questions of Probability

8.3 Probability Exam Questions

Chapter 9: Algebra

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9.1 Linear Equation

9.2 Quadratic Equation

9.3 Introduction to Progression

9.5 Logarithm Practice

9.8 Algebra Exam Questions

Chapter 10: Set Theory

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10.1 Set Theory

Chapter 11: Previous Year Aptitude GATE Questions

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11.1 Aptitude GATE Questions 2018 ME

11.2 Aptitude GATE Questions 2018 EC

11.3 Aptitude GATE Questions 2018 CE

11.4 Aptitude GATE Questions 2018 CS

11.5 Aptitude GATE Questions 2017 CH

11.6 Aptitude GATE Questions 2016 EE

11.7 Aptitude GATE Questions 2016 EC

11.8 Aptitude GATE Questions 2019 All Branches

11.9 Aptitude GATE Questions 2015 CS

11.10 Aptitude GATE Questions 2015 ME

11.11 Aptitude GATE Questions 2015 EC+IN

E-Book – Quantitative Aptitude

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Practice Set – Quantitative Aptitude

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Mock Test – Quantitative Aptitude

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Module – Applied Mechanics PART-1

Chapter 1: Force Systems

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1.1. Force and its classification

1.2. Principle of Transmissibility – Force as a sliding vector

1.3. Concurrent Force System

1.4. Force And Couple System

1.5. Tips to Draw Free Body Diagram

1.6. Standard Problems Force And Couple System

Chapter 2: Structure Analysis

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2.1. Structure analysis

2.2. Analysis of Plane Trusses

2.3. Standard Problems of Plane Trusses

2.4. Chapter-1 and 2 GATE Questions

E-Book – Applied Mechanics PART-1 (Engg. Mechanics)

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Practice Set – Applied Mechanics PART-1 (Engg. Mechanics)

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Mock Test – Applied Mechanics PART-1

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Module – Fluid Mechanics

Chapter 1: Introduction & Fluid Properties

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1.1 Introduction

1.1.1_States of Matter / Distinction between Solid & Fluid

1.1.2_Internal Forces

1.1.3_Concept of Continuum

1.2 FLUID PROPERTIES – I

1.2.1_Density at a point

1.2.2_Specific Weight & Specific Gravity

1.2.3_Bulk Modulus of Elasticity

1.3 FLUID PROPERTIES – II

1.3.1_Absolute Viscosity & Kinematic Viscosity with their physical interpretation

1.4 FLUID PROPERTIES – III

1.4.1 to 1.4.6_Standard Problems

1.5 FLUID PROPERTIES – IV

1.5.1_Surface Tension

1.5.2_Phenomenon observed in nature due to surface tension

1.5.3_Standard Problems

1.6 GATE PROBLEMS

Chapter 2: Fluid Statics

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2.1 FUNDAMENTAL EQUATION OF FLUID STATICS

2.1.1_Derivation of Fundamental Equation of Fluid Statics

2.1.2_Physics behind Fundamental Equation of Fluid Statics

2.1.3_Results from Fundamental Equation of Fluid Statics

2.2 PRESSURE & ITS MEASUREMENT

2.2.1_Scale of Pressure

2.2.2_Measurement of Atmospheric Pressure – Barometer

2.2.3_Measurement of System Pressure – Piezometer

2.2.4_U Tube Manometer – Positive Gauge Pressure

2.2.5_U Tube Manometer – Negative Gauge Pressure

2.3 SOME STANDARD PROBLEMS ON MANOMETERS

2.3.1_Multiple Fluid Manometers

2.3.2_Inverted Manometers

2.3.3_Inclined Manometers

2.3.4_ESE – 2008

2.3.5_Rotating Manometer

2.4 FORCES ON SUBMERGED BODIES – I

2.4.1_Forces on Plane Surfaces Immersed in Fluid at rest

2.4.2_Standard Problem

2.5 FORCES ON SUBMERGED BODIES – II

2.5.1_Forces on Curved Surfaces Immersed in Fluid at rest

2.5.2_Example Problem

2.5.3_Concept of Imaginary Surface

2.5.4 to 2.5.6_Standard Problems

2.6.1_Fundamentals of Buoyancy

2.6.2 to 2.6.8_Standard Problems

2.7 STABILITY OF UNCONSTRAINED BODIES IN FLUID

2.7.1_Introduction

2.7.2_Stability of Fully Submerged Bodies

2.7.3_Stability of Partially Submerged Bodies

2.7.4_Standard Problem

2.8 FLUID UNDER RIGID BODY MOTION / RELATIVE EQUILIBRIUM

2.8.1_An open tank containing a liquid that is subjected to a uniform acceleration in horizontal direction

2.8.2_Calculation of Maximum acceleration for no spill and calculation of spilled volume

2.8.3_Rotating open cylindrical tank

2.8.4_Calculation of maximum angular velocity for no spill and calculation of spilled volume

2.9 TO 2.13 GATE PROBLEMS

Chapter 3: Fluid Kinematics

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3.1 FUNDAMENTALS

3.1.1_Understanding Kinematics

3.1.2_Description of Fluid Flow_Lagrangian & Eulerian Approach

3.1.3_Variation of Flow Parameters with space and time_Stead v/s Unsteady Flows and Uniform v/s Non-uniform Flows

3.1.4_Flow visualization_Concept of Streamlines, Pathlines and Streaklines

3.2 FLUID TRANSLATION, ROTATION AND DEFORMATION – I

3.2.1_Acceleration of Fluid Particle in a Velocity Field

3.2.2_Linear Deformation of Fluid Element

3.3 FLUID TRANSLATION, ROTATION AND DEFORMATION – II

3.3.1_Angular deformation and concept of angular velocity

3.3.2_Vorticity

3.3.3_Concept of Rotational and Irrotational Flows

3.4 STREAM FUNCTION AND VELOCITY POTENTIAL

3.4.1_Stream function and its physical interpretation

3.4.2_Velocity potential and its physical interpretation

3.4.3_Relationship between Stream function and Velocity potential

3.4.4_Conditions for Ir-rotational Flows

3.5 SOME STANDARD PROBLEMS ON FLUID KINEMATICS

3.5.1 to 3.5.4_Standard Problems

3.6 GATE PROBLEMS

3.7 GATE PROBLEMS

3.8 GATE PROBLEMS

Chapter 4: Integral form of Conservation Equations

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4.1 FUNDAMENTALS OF REYNOLDS TRANSPORT THEOREM

4.1.1_Need for Reynolds Transport Theorem (RTT)

4.1.2_Intensive and Extensive Properties

4.1.3_Understanding discharge and mass flow rate

4.2 APPLICATION OF RTT TO CONSERVATION OF MASS

4.2.1_Integral form of Continuity Equation

4.3 APPLICATION OF RTT TO CONSERVATION OF LINEARE MOMENTUM OR MOMENTUM THEOREM

4.3.1_The principle of conservation of linear momentum applied to a control volume

4.4 APPLICATION OF RTT TO CONSERVATION OF ANGULAR MOMENTUM

4.4.1_The principle of conservation of angular momentum applied to a control volume

4.4.2_Standard Problem (Lawn Sprinkler)

Chapter 5: Dynamics of Inviscid Flows – Fundamentals & Application

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5.1 PHYSICS OF EULER’S EQUATION – I

5.1.1_Fundamental Equation of Motion for In-viscid Flow in Cartesian Coordinates

5.2 PHYSICS OF EULER’S EQUATION – II

5.2.1_Pressure Differential between two points in an Inviscid Flow Field

5.2.2_Derivation of Bernoulli’s Equation and Its Assumption

5.2.3_Physics behind Bernoulli’s Equation

5.3 APPLICATION OF BERNOULLI’S EQUATION – I

5.3.1_Hydraulic Siphon

5.3.2_Flow Measurement – Venturimeter

5.4 APPLICATION OF BERNOULLI’S EQUATION – II

5.4.1_Orifice meter

5.4.2_Concept of Static, Stagnation and Dynamic Pressure

5.4.3_Pitot tube

5.5 VORTEX FLOWS

5.6 GATE PROBLEMS – I

5.7 GATE PROBLEMS – II

5.8 GATE PROBLEMS – III

Chapter 6: Dynamics of Viscous Incompressible Flow

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6.1 SOME EXACT SOLUTION OF NAVIER STOKES EQUATION – I

6.1.1_Introduction to Navier Stokes Equation

6.1.2_Plane Poiseullie flow

6.2 SOME EXACT SOLUTION OF NAVIER STOKES EQUATION – II

6.2.1_Couette Flow

6.3 SOME EXACT SOLUTION OF NAVIER STOKES EQUATION – III

6.3.1_Hagen Poiseullie Flow

6.4 VISCOUS FLOW THROUGH PIPES

6.4.1_Minor Losses

6.4.2_Losses due to sudden expansion

6.4.3_Exit Loss

6.4.4_Losses due to sudden contraction

6.4.5_Entry Loss

6.4.6_Losses in pipe bends

6.4.7_Flow through branched pipes

6.5 GATE PROBLEMS

Chapter 7: Boundary Layer Theory

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7.1 BOUNDARY LAYER THEORY – I

7.1.1_Introductory Concepts

7.1.2_Boundary Layer Equations

7.1.3_Blausius Exact Solutions

7.2 BOUNDARY LAYER THEORY – II

7.2.1_Displacement Thickness

7.2.2_Momentum Thickness

7.2.3_Von Karman Momentum Integral Equation

7.2.4_Derivation of profile based results

7.2.5_Overall drag coefficient

7.3 BOUNDARY LAYER THEORY – III

7.3.1_Boundary Layer Theory for Turbulent Flows

7.3.2_Results – Summary

7.3.3_Standard Problems

7.3.4_Boundary Layer Separation

7.3.5_Forces on body immersed in fluid under motion

7.3.6_Cricket ball dynamics

7.4 GATE PROBLEMS OF BOUNDARY LAYER THEORY

Chapter 8: Principle of Similarity and Dimensional Analysis

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8.1 DIMENSIONAL ANALYSIS & PRINCIPLE OF SIMILARITIES – I

8.1.1_Dimension Analysis-Importance of dimension analysis

8.1.2_Buckingham π theorem

8.1.3_Interpretation of results

8.2 DIMENSIONAL ANALYSIS & PRINCIPLE OF SIMILARITIES – II

8.2.1_Principle of similarities: Concept and size of similarities

8.2.2_Different forces acting on fluid

8.2.3_Dimensionless Numbers

8.2.4_Applications in different cases

8.2.5_Standard problem

Chapter 9: Turbulent Flow

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9.1_Introduction

9.2_Reynold’s Experiment

9.3_Physics of Reynold’s number

9.4_Statistical Description of turbulent flows

Chapter 10: Fluid Machines

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FLUID MACHINES – I

10.1.1_Reynolds Transport Theorem Applied to Law of Conservation of Angular Momentum

10.1.2_Lawn Sprinkler

10.1.3_Introduction and Classification of Fluid Machines

10.1.4_Different Components of Velocity

10.2 FLUID MACHINES – II

10.2.1_Fundamental Equation of Energy Transfer in Rotodynamic Machines

10.2.2_Velocity Diagrams

10.2.3_Different Components of Energy Transfer

10.2.4_Physical Interpretation of Different Components of Energy Transfer

10.2.5_Degree of Reaction

10.3 FLUID MACHINES – III

10.3.1_Impulse hydraulic turbine: The Pelton Wheel/Pelton Turbine

10.3.2_Analysis of Pelton Bucket

Standard Problems

10.4 FLUID MACHINES – IV

10.4.1_Reaction Hydraulic Turbine: Francis Turbine

10.4.2_Analysis of Francis Runner

10.4.3_Standard Problem on Francis Turbine

10.4.4_Reaction hydraulic turbine: Kaplan turbine

10.4.5_Standard Problem on Kaplan Turbine

10.5 FLUID MACHINES – V

10.5.1_Laws of similarities

10.5.2_Concept of specific speed

10.5.3_Comparison of turbines

10.6 FLUID MACHINES – VI

10.6.1_Centrifugal Pump – Introduction

10.6.2_Velocity Diagram for Centrifugal Pump Impeller

10.6.3_General Pumping System

10.6.4_Thomas Cavitation Parameter

10.6.5_Manometric Efficiency

10.7 GATE PROBLEMS

Chapter 11: Basics of Compressible

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11.1 Basics of Compressible

E-Book – Fluid Mechanics

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Practice Set – Fluid Mechanics

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Mock Test – Fluid Mechanics

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Module – Applied Mechanics part -2

Chapter 1: Introduction of Strength of Materials (SOM)

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Introduction of Strength of Materials (SOM)

Chapter 2: Load & Its Effect

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2.1 Load & Its Effect Part 1

2.2 Load & Its Effect Part 2

2.3 Load & Its Effect Part 3

2.4 Load & Its Effect Part 4

2.5 Load & Its Effect Part 5

2.6 Load & Its Effect GATE Questions

Chapter 3: Basic Concept of SOM

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3.1 Basic Concept of SOM Part 1

3.2 Basic Concept of SOM Part 2

3.3 Basic Concept of SOM Part 3

3.4 Basic Concept of SOM Part 4

3.5 Basic Concept of SOM GATE Questions

Chapter 4: Axial Stress

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4.1 Axial Stress (Bars in Series)

4.2 Axial Stress (Elongation of Different Sections)

4.3 Axial Stress (Bars in Parallel)

4.4 Axial Stress (Thermal Stress)

4.5 Axial Stress and Thermal Stress GATE Questions

Chapter 5: Bending Stress

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5.1 Bending Equation

5.2 Examples Based on Bending Equation

5.3 Beam of Uniform Strength & Bending of Wire

5.4 Bending Stress GATE Questions

Chapter 6: Direct Shear Stress

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6.1 Direct Shear Stress & Its Distribution

6.2 Examples on Direct Shear Stress

6.3 Shear Center

6.4 Direct Shear Stress GATE Questions

Chapter 7: Pure Torsion

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7.1 Torsion Equation

7.2 Examples on Pure Torsion

7.3 Pure Torsion (Bars in Series & Parallel)

7.4 Pure Torsion GATE Questions

Chapter 8: Combined Stress and Strain

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8.1 Combined Stress and Strain Part 1

8.2 Combined Stress and Strain Part 2

8.3 Examples Based on Combined Stress and Strain

8.4 Theory of Failure

8.5 Mohr’s Circle

8.6 Combined Stress and Strain GATE Questions

Chapter 9: Column & Pressure Vessel

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9.1 Cylindrical & Spherical

9.2 Column & Struts

9.3 Pressure Vessel & Column GATE Questions

Chapter 10: SFD and BMD

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10.1 Beam Load & Support

10.2 Examples on Reaction Calculation

10.3 Shear Force & Bending Moment

10.4 Examples on Shear Force & Bending Moment

10.5 SFD & BMD GATE Questions

Chapter 11: Slope & Deflection

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11.1 Slope & Deflection Part 1

11.2 Examples on Slope & Deflection Part 2

11.3 Slope & Deflection Part 3

11.4 Slope & Deflection GATE Questions

E-Book – Applied Mechanics PART-2 (Strength of Materials )

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Practice Set – Applied Mechanics PART-2 (Strength of Materials )

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Mock Test – Applied Mechanics part -2

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Quiz

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Production and Industrial Engineering

GATE Production and Industrial Engineering

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