About Course
Fluid mechanics is a branch of physics worried about the mechanics of liquids (fluids & gases) and the forces applied to all of them.
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- Previous 20 years GATE questions papers, with detailed solutions
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- Guides from top most universities
Course Curriculum
Preview of Fluid Mechanics
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Preview of Fluid Mechanics
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Review of Mechanics
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Review of Mechanics -I
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Review of Mechanics -II
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Review of Mechanics -III
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Review of Mechanics -IV
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Chapter 1: Introduction & Fluid Properties
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1.1 Introduction
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1.1.1_States of Matter / Distinction between Solid & Fluid
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1.1.2_Internal Forces
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1.1.3_Concept of Continuum
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1.2 FLUID PROPERTIES – I
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1.2.1_Density at a point
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1.2.2_Specific Weight & Specific Gravity
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1.2.3_Bulk Modulus of Elasticity
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1.2.4_Pressure
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1.3 FLUID PROPERTIES – II
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1.3.1_Absolute Viscosity & Kinematic Viscosity with their physical interpretation
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1.4 FLUID PROPERTIES – III
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1.4.1 to 1.4.6_Standard Problems
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1.5 FLUID PROPERTIES – IV
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1.5.1_Surface Tension
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1.5.2_Phenomenon observed in nature due to surface tension
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1.5.3_Standard Problems
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1.6 GATE PROBLEMS
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Chapter 2: Fluid Statics
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2.1 FUNDAMENTAL EQUATION OF FLUID STATICS
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2.1.1_Derivation of Fundamental Equation of Fluid Statics
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2.1.2_Physics behind Fundamental Equation of Fluid Statics
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2.1.3_Results from Fundamental Equation of Fluid Statics
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2.2 PRESSURE & ITS MEASUREMENT
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2.2.1_Scale of Pressure
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2.2.2_Measurement of Atmospheric Pressure – Barometer
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2.2.3_Measurement of System Pressure – Piezometer
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2.2.4_U Tube Manometer – Positive Gauge Pressure
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2.2.5_U Tube Manometer – Negative Gauge Pressure
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2.3 SOME STANDARD PROBLEMS ON MANOMETERS
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2.3.1_Multiple Fluid Manometers
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2.3.2_Inverted Manometers
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2.3.3_Inclined Manometers
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2.3.4_ESE – 2008
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2.3.5_Rotating Manometer
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2.4 FORCES ON SUBMERGED BODIES – I
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2.4.1_Forces on Plane Surfaces Immersed in Fluid at rest
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2.4.2_Standard Problem
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2.5 FORCES ON SUBMERGED BODIES – II
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2.5.1_Forces on Curved Surfaces Immersed in Fluid at rest
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2.5.2_Example Problem
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2.5.3_Concept of Imaginary Surface
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2.5.4 to 2.5.6_Standard Problems
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2.6 BUOYANCY
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2.6.1_Fundamentals of Buoyancy
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2.6.2 to 2.6.8_Standard Problems
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2.7 STABILITY OF UNCONSTRAINED BODIES IN FLUID
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2.7.1_Introduction
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2.7.2_Stability of Fully Submerged Bodies
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2.7.3_Stability of Partially Submerged Bodies
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2.7.4_Standard Problem
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2.8 FLUID UNDER RIGID BODY MOTION / RELATIVE EQUILIBRIUM
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2.8.1_An open tank containing a liquid that is subjected to a uniform acceleration in horizontal direction
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2.8.2_Calculation of Maximum acceleration for no spill and calculation of spilled volume
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2.8.3_Rotating open cylindrical tank
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2.8.4_Calculation of maximum angular velocity for no spill and calculation of spilled volume
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2.9 TO 2.13 GATE PROBLEMS
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Chapter 3: Fluid Kinematics
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3.1 FUNDAMENTALS
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3.1.1_Understanding Kinematics
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3.1.2_Description of Fluid Flow_Lagrangian & Eulerian Approach
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3.1.3_Variation of Flow Parameters with space and time_Stead v/s Unsteady Flows and Uniform v/s Non-uniform Flows
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3.1.4_Flow visualization_Concept of Streamlines, Pathlines and Streaklines
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3.2 FLUID TRANSLATION, ROTATION AND DEFORMATION – I
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3.2.1_Acceleration of Fluid Particle in a Velocity Field
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3.2.2_Linear Deformation of Fluid Element
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3.3 FLUID TRANSLATION, ROTATION AND DEFORMATION – II
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3.3.1_Angular deformation and concept of angular velocity
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3.3.2_Vorticity
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3.3.3_Concept of Rotational and Irrotational Flows
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3.4 STREAM FUNCTION AND VELOCITY POTENTIAL
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3.4.1_Stream function and its physical interpretation
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3.4.2_Velocity potential and its physical interpretation
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3.4.3_Relationship between Stream function and Velocity potential
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3.4.4_Conditions for Ir-rotational Flows
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3.5 SOME STANDARD PROBLEMS ON FLUID KINEMATICS
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3.5.1 to 3.5.4_Standard Problems
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3.6 to 3.8 GATE PROBLEMS
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Chapter 4: Integral form of Conservation Equations
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4.1 FUNDAMENTALS OF REYNOLDS TRANSPORT THEOREM
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4.1.1_Need for Reynolds Transport Theorem (RTT)
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4.1.2_Intensive and Extensive Properties
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4.1.3_Understanding discharge and mass flow rate
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4.2 APPLICATION OF RTT TO CONSERVATION OF MASS
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4.2.1_Integral form of Continuity Equation
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4.3 APPLICATION OF RTT TO CONSERVATION OF LINEARE MOMENTUM OR MOMENTUM THEOREM
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4.3.1_The principle of conservation of linear momentum applied to a control volume
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4.4 APPLICATION OF RTT TO CONSERVATION OF ANGULAR MOMENTUM
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4.4.1_The principle of conservation of angular momentum applied to a control volume
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4.4.2_Standard Problem (Lawn Sprinkler)
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Chapter 5: Dynamics of Inviscid Flows – Fundamentals & Application
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5.1 PHYSICS OF EULER’S EQUATION – I
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5.1.1_Fundamental Equation of Motion for In-viscid Flow in Cartesian Coordinates
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5.2 PHYSICS OF EULER’S EQUATION – II
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5.2.1_Pressure Differential between two points in an Inviscid Flow Field
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5.2.2_Derivation of Bernoulli’s Equation and Its Assumption
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5.2.3_Physics behind Bernoulli’s Equation
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5.3 APPLICATION OF BERNOULLI’S EQUATION – I
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5.3.1_Hydraulic Siphon
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5.3.2_Flow Measurement – Venturimeter
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5.4 APPLICATION OF BERNOULLI’S EQUATION – II
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5.4.1_Orifice meter
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5.4.2_Concept of Static, Stagnation and Dynamic Pressure
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5.4.3_Pitot tube
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5.5 VORTEX FLOWS
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5.6 GATE PROBLEMS – I
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5.7 GATE PROBLEMS – II
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5.8 GATE PROBLEMS – III
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Chapter 6: Dynamics of Viscous Incompressible Flow
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6.1 SOME EXACT SOLUTION OF NAVIER STOKES EQUATION – I
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6.1.1_Introduction to Navier Stokes Equation
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6.1.2_Plane Poiseullie flow
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6.2 SOME EXACT SOLUTION OF NAVIER STOKES EQUATION – II
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6.2.1_Couette Flow
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6.3 SOME EXACT SOLUTION OF NAVIER STOKES EQUATION – III
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6.3.1_Hagen Poiseullie Flow
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6.4 VISCOUS FLOW THROUGH PIPES
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6.4.1_Minor Losses
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6.4.2_Losses due to sudden expansion
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6.4.3_Exit Loss
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6.4.4_Losses due to sudden contraction
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6.4.5_Entry Loss
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6.4.5_Entry Loss
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6.4.6_Losses in pipe bends
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6.4.7_Flow through branched pipes
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6.5 GATE PROBLEMS
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Chapter 7: Boundary Layer Theory
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7.1 BOUNDARY LAYER THEORY – I
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7.1.1_Introductory Concepts
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7.1.2_Boundary Layer Equations
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7.1.3_Blausius Exact Solutions
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7.2 BOUNDARY LAYER THEORY – II
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7.2.1_Displacement Thickness
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7.2.2_Momentum Thickness
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7.2.3_Von Karman Momentum Integral Equation
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7.2.4_Derivation of profile based results
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7.2.5_Overall drag coefficient
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7.3 BOUNDARY LAYER THEORY – III
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7.3.1_Boundary Layer Theory for Turbulent Flows
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7.3.2_Results – Summary
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7.3.3_Standard Problems
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7.3.4_Boundary Layer Separation
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7.3.5_Forces on body immersed in fluid under motion
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7.3.6_Cricket ball dynamics
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7.4 GATE PROBLEMS OF BOUNDARY LAYER THEORY
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Chapter 8: Principle of Similarity and Dimensional Analysis
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8.1 DIMENSIONAL ANALYSIS & PRINCIPLE OF SIMILARITIES – I
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8.1.1_Dimension Analysis-Importance of dimension analysis
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8.1.2_Buckingham π theorem
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8.1.3_Interpretation of results
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8.2 DIMENSIONAL ANALYSIS & PRINCIPLE OF SIMILARITIES – II
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8.2.1_Principle of similarities: Concept and size of similarities
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8.2.2_Different forces acting on fluid
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8.2.3_Dimensionless Numbers
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8.2.4_Applications in different cases
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8.2.5_Standard problem
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Chapter 9: Turbulent Flow
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9.1_Introduction
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9.2_Reynold’s Experiment
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9.3_Physics of Reynold’s number
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9.4_Statistical Description of turbulent flows
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Chapter 10: Fluid Machines
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10.1.1_Reynolds Transport Theorem Applied to Law of Conservation of Angular Momentum
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10.1.2_Lawn Sprinkler
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10.1.3_Introduction and Classification of Fluid Machines
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10.1.4_Different Components of Velocity
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10.2 FLUID MACHINES – II
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10.2.1_Fundamental Equation of Energy Transfer in Rotodynamic Machines
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10.2.2_Velocity Diagrams
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10.2.3_Different Components of Energy Transfer
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10.2.4_Physical Interpretation of Different Components of Energy Transfer
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10.2.5_Degree of Reaction
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10.3 FLUID MACHINES – III
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10.3.1_Impulse hydraulic turbine: The Pelton Wheel/Pelton Turbine
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10.3.2_Analysis of Pelton Bucket
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Standard Problems
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10.4 FLUID MACHINES – IV
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10.4.1_Reaction Hydraulic Turbine: Francis Turbine
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10.4.2_Analysis of Francis Runner
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10.4.3_Standard Problem on Francis Turbine
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10.4.4_Reaction hydraulic turbine: Kaplan turbine
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10.4.5_Standard Problem on Kaplan Turbine
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10.5 FLUID MACHINES – V
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10.5.1_Laws of similarities
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10.5.2_Concept of specific speed
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10.5.3_Comparison of turbines
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10.6 FLUID MACHINES – VI
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10.6.1_Centrifugal Pump – Introduction
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10.6.2_Velocity Diagram for Centrifugal Pump Impeller
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10.6.3_General Pumping System
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10.6.4_Thomas Cavitation Parameter
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10.6.5_Manometric Efficiency
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10.7 GATE PROBLEMS
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Chapter 11: Basics of Compressible
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11.1 Basics of Compressible
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