### Fluid Mechanics-I (MATH-219)(BS-VII)(EX-PPP-New-1)

This course will provide the student with a basic understanding of fluid properties, fluid statics and dynamics, and fluid flow. The flow of incompressible fluids in pressure systems constitutes the major portion of this course.

Pre-Requisites:

None

Intended Learning Outcomes

On successful completion of this course students will be able to:

1. understand the basic concepts of fluid mechanics.
2. understand the mathematical description of fluid flow.
3. understand the conservation principles governing fluidflows.
4. be able to solve inviscid flow problems using streamfunctions and velocity potentials.
5. be able to compute forces on bodies in fluid flows.
6. be able to solve (analytical and numerical) viscous flow problems.

Contents

1. Introduction: Definition of Fluid, basics equations
2. Methods of analysis, dimensions and units
3. Fundamental concepts: Fluid as a continuum, velocity field
4. Stress field, viscosity, surface tension
5. Description and classification of fluid motion
6. Fluid Statics: The basic equation of fluid static, The standard atmosphere, pressure variation in a static fluid
7. Fluid in rigid body motion
8. Basic equations in integral form for a control volume: Basic laws for a system, relation of derivatives to the control volume formulation
9. Conservation of mass, momentum equation for inertial control volume
10. Momentum equation for control volume with rectilinear acceleration
11. Momentum equation for control volume with arbitrary acceleration
12. The angular momentum principle
13. The first law of thermodynamics, the second law of thermodynamics
14. Introduction to differential analysis of fluid motion: conservation of mass
15. Stream function for two dimensional incompressible flow
16. Motion of a fluid element (kinematics)
17. Momentum equation

Recommended Books

1.  Fox R. W. & McDonald A. T. Introduction to Fluid Mechanics 6th ed. John Wiley & Sons, 2004.

2.  White F. M. Fluid Mechanics. 5th ed. Mc Graw Hill, 2006.

Suggusted Books:

1. Schichting H. Boundary Layer Theory. 6th ed. Mc. Graw Hill, 1964.
2. Milne-Thomson L. M. Theoretical Hydrodynamics, 6th ed. NY: Macmillan, 2006.

Description of system of evaluation (homework, midterms, final,  assignments etc.):

1. Homework, Exercises, Attendance, Assignments: 20%
2. Midterm: 30%, Final Term: 50 %

Key Dates and Time of Class Meeting

Wednesday: 2:00 pm-03:30 pm

Friday: 2:00 pm-03:30 pm

Commencement of Classes                                                   November 25, 2020

Mid Term Examination                                                            December 28 to January 01, 2021

Final Term Examination                                                          March 01 to 05, 2021

Declaration of Result                                                              March 12, 2021