### Fluid Dynamics -I ( Ex -ppp old) (Math- 425)

Introduction:

Covers properties of fluids, laws of fluid mechanics and energy relationships for incompressible fluids Studies flow in closed conduits, including pressure loss, flow measurement, pipe sizing and pump Selection, momentum equation for frictionless flow, Euler’s equations, Bernoulli equation- Integration of Euler’s equation, laminar flow and Boundary layers

Prerequisites:
Physics 140, General Physics I, Math 215, Calculus II, preceded or
accompanied by ChE 230, ,Material and Energy Balances, and Math 216,
Introduction to Differential Equations.
COGNIZANT FACULTY: Glotzer, Lahann, Linderman, Monroe, Nagrath

Learning Outcomes:

• Identify how properties of fluids change with temperature and their affect on pressure and fluid   flow.
• Describe fluid pressure and its measurement.
• Calculate forces on a plane submerged in a static fluid.
• Calculate buoyancy on a body submerged in a static fluid.
• Understand and apply the differential equations of fluid mechanics including the ability to apply and understand the impact of assumptions made in the analysis.
• Understand and apply the potential flow equations to basic flows.
• Understand and apply the compressible flow equations.
• To be able to analyze the problems related to basic in compressible viscous flows.
• Determination of non-dimension parameters for a given system.
• To apply the knowledge of laminar and turbulent flows to find pressure drop in pipes.Understanding the characteristics of boundary layer and calculate the forces acting on submerge bodies.

Contents

1. Definition of fluid, basic equation,
2. Method of analysis, dimenssions and units,
3. Fundamental concepts, Fluid as a continuum, velocity field, stress field,
4. viscosity, surface tension,
5. description and classification of fluid motions.
6. Fluid Static : The baisc equation of fluid static,
7. The standard atmosphere , pressure variation static fluid , fluid in rigid  body motion.
8. Basic equation in integral form for a control volume,
9. basic laws for a system, relation of derivatines to control volume formulation,
10. conservation of mass, momentum equation for inertial control volume,
11. momentum equation for inertial control volume with rectilinear acceleration,
12.  momentum equation for inertial control volume with arbitrary acceleration,
13. the angular momentum principle, the first law of thermodynamics, the second law of thermodynamics,
14. Introduction to differential analysis of fluid moton,
15. conservation of mass, stream function for two dimenssional incompressible flow,
16. motion of fluid element (kinamatics), momentum equation

Recommended Books

1. Fox, R. W. and McDonald, A. T., Introduction to Fluid Mechanics 6th Ed. John Wiley & Sons, 2004 (Suggested Text Book).
2. White, F. M.,  Fluid Mechanics 5th Ed. Mc. (Graw Hill, published in 2006).

Suggested Books

1. Robert Alan Granger, Fluid Mechanics Ist Edition (Winston Publisher USA, 1985)
2. Bruce, R., Rothmayer, A. P., Theodore, H. O. and Wade, W. H., Fundamental of Fluid Mechanics. 7th Edition, (Willey Son Publisher USA, 2013).
3. Yasuki Nakayama. Introduction to fluid mechanics. 2ndEdition,( Butterworh Heinemann Publisher, 2018).

Assessment criteria :

Thursday 9:30am to 11:00am(Ex-PPP Old )

Friday 11:00am to 12:30 PM (Ex-PPP Old)

Mid-Term Marks:  30

Final-Term Marks: 50

Sessional Marks: 20

Commencement of Classes:

October 12, 2020 (Monday )

Mid-Term Examination:

December 14 t0 18, 2020 (Monday to Friday)

Final-Term Examination:

February 8 to 12, 2020 (Monday to Friday)

Declaration of Result:  February 19, 2020 (Friday)