## Course Detail

 Course Name Advanced Fluid Mechanics Course Code 19MEE359 Program B. Tech. in Mechanical Engineering Year Taught 2019

### Syllabus

##### Unit 1

Fundamentals of Fluid Dynamics
Differential approach – the Material Derivative, Integral Approach – RTT, Flow visualization – Path Lines, Streamlines, streaklines, Rate of Deformation, Vorticity and Circulation, The Stream Function Equation, The Vorticity Transport Equation, Conservation Equations – mass, momentum, energy, Boundary Conditions.

Exact Solution of Navier Stokes Equation

##### Unit 2

Approximate Solution of Navier Stokes Equation
Creeping flow, inviscid region of flow, Irrotational flow – uniform flow, source, sink, doublelet, vortex, Hele – ShawRankine half body, Rankine Oval, Superposition principle

Boundary Layer Theory
Boundary Layer concept, Boundary layer equations for 2D flows, Blasius Similarity Solution, Karman Momentum integral Equation, Boundary layer thicknesses, Boundary Separation with various pressure gradient, Laminar and Turbulent boundary layers and sports ball dynamics

##### Unit 3

Flow Over Bodies: Drag And Lift
Drag and Lift, Friction and Pressure Drag, Reducing Drag by Streamlining, Flow Separation, Drag Coefficients of Common Geometries, Parallel Flow over Flat Plates, Friction Coefficient Flow over Cylinders and Spheres, D’Alembert’s Paradox. Effect of Surface Roughness, Lift – End Effects of Wing Tips Lift Generated by Spinning

Introduction to turbulence
Nature of Turbulence, Origin of turbulence, Characterization of turbulence,Kolmogorov Hypothesis and Energy Cascade, Reynolds modification of Navier-Stokes equations, Reynolds stresses, Turbulence Models – Prandtl Mixing length Model

### Objectives and Outcomes

Course Objectives

• To familiarize kinematic and dynamic behaviour of fluid flow
• To introduce flow dynamics over immersed bodies
• To impart knowledge on origin and nature of turbulence

Course Outcomes

• CO1: Evaluate instantaneous fluid velocity and track the fluid particles in the flow field, compute flow rate and pumping power of the fluid
• CO2: Solve benchmark problems using NSE to estimate the velocity profile and shear stress
• CO3: Apply NSE in real time engineering problems to model low and high Reynolds number flow and boundary layer flows
• CO4: Estimate the total drag and lift forces associated with structures immersed in the fluid
• CO5: Predict the length scale of eddies and Reynolds stress

CO – PO Mapping

 PO/PSO/ CO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2 PSO3 CO1 3 3 3 2 1 1 3 CO2 3 3 3 2 1 3 CO3 3 3 3 2 1 1 1 1 3 CO4 3 3 3 2 1 1 3 CO5 3 3 3 2 1 1 3

### Textbook / References

Textbook(s)

• Robert W. Fox, Alan T. McDonald, &Philip J., “Fluid Mechanics”, 8/e, John Wiley & Sons Inc., 2017

Reference(s)

• Ronald L. Panton, “Incompressible Flow”, 4/e,John Wiley & Sons Inc., 2011
• Pijush K. Kundu, Ira M. Cohen,& David M. Dowling, “Fluid Mechanics”, 5/e, Academic Press., 2012
• Yunus A Cengel& John Cimbala, “Fluid Mechanics: Fundamentals and Applications”, 3/e McGraw Hill., 2017
• K Muralidhar and G Biswas, “Advanced Engineering Fluid Mechanics”, 3/e,Narosa Publishing House.,2001

Evaluation Pattern

 Assessment Internal External Periodical 1 15 – Periodical 2 15 – *Continuous Assessment (CA) 20 – End Semester – 50 *CA – Can be Quizzes, Assignment, Projects, and Reports.

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