COURSE OBJECTIVES

The successful completion of this course (Theory + Practical) would help students in achieving the following objectives:

• To help understanding the nature of fluid statics, in particular dealing with problems related to hydrostatic forces.
• To be able to analyze the problems related to elementary fluid dynamics especially for incompressible flows using Bernoulli equation in particular.
• To learn the basic models for Inviscid and viscous fluid flow using control volume and differential analysis approaches.
• To develop the understanding by applying mathematical models to simple realizable configurations along with practical considerations.
• To apprehend the applications/solutions of models developed in the advanced course in industrial applications using analytical as well as numerical methods.

COURSE LEARNING OUTCOMES (CLO)

CLO-1: Apply the basic models for inviscid and viscous fluid flow using control volume and differential analysis approaches. (C3)
CLO-2: Develop the understanding by applying mathematical models to simple realizable configurations along with practical considerations. (C5)
CLO-3: Apply solutions of models developed in the course for industrial applications. (C3)
CLO-4: Analyze the problems related to elementary fluid dynamics especially for incompressible flows using Bernoulli equation in particular. (C4)

COURSE CONTENTS

  1. Introductory Concepts – One Lecture
  • Dimensions, units, fluid mass and weight,
  • Compressibility, vapor pressure, viscosity, surface tension

2. Fluid Statics – Three Lectures

  • Pressure, hydrostatic force on plane and curved surface
  • Manometers, Plane and inclined manometers
  • Buoyancy and Archimedes Principle

3. Elementary Fluid Dynamics – Six Lectures

  • Stream lines
  • Bernoulli’s Equation along the streamline and across the streamline
  • Application of Bernoulli’s Equation
  • Static, stagnation and total Pressure and pitot tube
  • Hydraulic grade line and energy grade line
  • Assumption of Bernoulli’s equation

4. Fluid Kinematics – Six Lectures

  • Velocity field, acceleration field, control volume,
  • Material Derivative
  • Reynolds’s transport theorem

5. Finite Control Volume Analysis – Seven Lectures

  • Conservation of Mass for a Control Volume
  • Derivation and application of linear momentum equation
  • Derivation and application of momentum of momentum equation
  • Derivation and application of energy equation
  • Comparison of equations

6. Differential Analysis of Fluid Flow – Seven Lectures

  • Overview of types of motion and deformation a fluid element
  • Differential form of continuity equation
  • The stream function
  • Deriving the equations of motion

7. Dimensional Analysis, Similitude, and Modeling – Two Lectures

  • Dimensional Analysis
  • Buckingham Pi Theorem