## PHY 330: Fluid Mechanics

3 credits | Prerequisites: PHY 103, PHY 211 MAT 104, MAT 203

### Course rationale

This is one of the courses offered by the university which is mandatory for the students who wish to major in Physics. The course forms a one-year standard course in Fluid Mechanics. Prerequisites for this course are PHY 103 and PHY 211. It is highly recommended that the students must have a fair amount of background in Linear Algebra. Especially, knowledge of Calculus of Several Variables will be required sometimes.

### Course content

Introduction: Basic concepts of fluid mechanics. Fundamental terms. Physical values. Fluids and their properties. Forces inside the fluid. Fluid Statistics: Pascal’s law. Euler’s equation of fluid statics. Measurement of pressure. Relative statics of fluid –constant acceleration, rotation. Forces of hydrostatic pressure. Buoyancy.Flotation. Stability. Fluid Kinematics: Euler and Lagrangian specification of fluid flow. Streamlines. Path lines. Stream surface. Stream tube. Mass/volume flow. Control volume. Fluid Dynamics: Continuity equation. Basic laws of fluid dynamics – conservation of mass, conservation of linear momentum, conservation of energy. Ideal fluid flow. Application of Bernoulli’s equation. Real fluid flow. Viscosity. Determination of losses. Reynolds experiment. Laminar and turbulent flow. Boundary layer. Velocity profile. Losses in pipes. Frictional losses. Nikuradse experiments. Moody’s diagram. Local losses. Coefficients of resistance. Differential Analysis of Fluid Flow: Fluid element kinematics, Conservation of mass, conservation of linear momentum, Inviscid flow, Viscous flow, Incompressible flow. Dimensional Analysis, Similitude, and Modeling: Dimensional Analysis, Buckingham Pi Theorem, Determination of Pi Terms, Modeling and Similitude, Some Typical Model Studies. Compressible Flow: Ideal Gas Relationships, Categories of Compressible Flow, Isentropic Flow of an Ideal Gas, Nonisentropic Flow of an Ideal Gas, Analogy between Compressible, and Open-Channel Flows

### Course objectives

- Identify and define basic terms, values, and laws in the areas of fluids properties, statics, kinematics and dynamics of fluids, and hydraulic design of pipes.
- Identify and explain the different fluid behavior and characteristics.
- Recognize and solve simplified examples of fluid mechanics using known laws of fluid statistics.
- Familiarizer and describe methods of implementing fluid mechanics laws and phenomena while analyzing the operational parameters of hydraulic problems, systems, and machines.
- Identify and explain the correlation between different operational parameters
- Select a valid and acceptable approach to problem-solving based on the acquired physics mathematical knowledge

### References

- An Introduction to Fluid Dynamics by G. K. Batchelor, Cambridge University Press
- Fluid Mechanics by Frank M. White, 7th edition, McGraw Hill
- Fundamental of Fluid Mechanics by Munson, Okiishi, Huebsch and Rothmayer, 7th edition, John Wiley & Sons
- Fluid Mechanics- Fundamentals and Applications by Cengel and Cimbala- McGraw Hill
- Fluid Mechanics by K. Subramanya, McGraw Hill.
- Fluid Mechanics by Yunus Cengel, Jhon Cimbala, Tata McGraw Hill