ME 611 (FALL 2001)

Dynamics of Incompressible Fluids

Instructor: Dr. P. Singh

Office: 313MEC

Phone: 973-596-3326

Email: singhp@njit.edu

Website: http://www-ec.njit.edu/~singhp

Prerequisite: undergraduate fluid mechanics.

Catalog Course Description:

An introduction to the hydrodynamics of ideal fluids; two-dimensional potential flow and stream functions; conformal mapping; and differential equations of viscous flow. Boundary layer theory and dimensional analysis are introduced.

Text Book:

Incompressible Flow (1996)

Ronald L. Panton, John Wiley & Sons

References:

1. An Introduction to Fluid dynamics (1976)

G.K Batchelor, Cambridge University Press

2. Fundaments Mechanics of Fluids (1974)

I.G. Currie, McGraw Hill

3. Hydrodynamics, 6th ed. (1945)

H. Lamb, Dover

4. Fluid Mechanics (1959)

L.D. Landau and E.M. Lifshitz, Oxford: Pergamon Press

5. Theoretical Hydrodynamics (1960)

L.M. Milne-Thomson, Macmillan

6. Vector, Tensor and basic equation of fluid mechanics (1962)

R. Aris, Dover

Course Outline (ME 611, FALL 2001)

1. Introduction

    1. Review of vector and tensor analysis
    2. Integral theorems

2. Basic Laws

2.1 Stress, deformation

2.2 Control volume approach

2.3 Conservation of mass

2.4 Conservation of momentum

2.5 Conservation of energy

2.6 Navier-Stokes equations

2.7 Dimensional Analysis

3. Incompressible viscous flows

2.1 Pressure driven flows

2.2 Couette Flow

2.3 Exact Solutions

4. Inviscid Flows

4.1 Streamfunction and velocity potential

4.2 Potential flows

4.3 Source and sink flows

4.4 Vortex and doublet flows

5. Boundary layer theory

5.1 Boundary layer thickness

5.2 Governing equations

5.3 Blasius’ solution

5.4 Falkner-Skan solution

6. Advanced Topics

6.1 Stability

6.2 Numerical methods

6.3 Turbulence