Fluid Dynamics-I (Compulsory Paper)
Paper Code:
MAT 322
Credits:
5
Contact Hours:
75.00
Max. Marks:
100.00
Unit I:
I
15.00
Basic Concepts: Fluid, Continum hypothesis, Viscosity, General motion of a fluid element, Analysis of stress and rate of strain, Stress in a fluid at rest, stress in a fluid in motion, Stoke’s law of friction, Thermal conductivity and generalized law of heat conduction, Specific heat.
Unit II:
II
15.00
Fundamental Equations of the Flow of viscous Fluid: Introduction, Equations of state and continuity , Navier- Stokes equations of motion, Vorticity and circulation, Tables of the fundamental equations
Unit III:
III
15.00
Dynamical similarity, Inspection and dimensional analysis, Buckingham theorem and its application, Non-dimensional parameters and their physical importance. Reynolds number, Froude number, Mach number, Prandtl number, Eckart number, Grashoff number, Brinkmann number, Non – dimensional coefficients: Lift and drag coefficients, Skin friction, Nusselt number, Recovery factor.
Unit IV:
IV
15.00
Exact Solutions of Navier – Stokes equations: Velocity distribution for the flow between two parallel plates: Plane couette flow, Plane Poiseuille flow, Generalized plane Couette flow, Velocity distribution for the flow in a circular pipe (Hagen- Poiseuille flow).
Unit V:
V
15.00
Flow in tubes of uniform cross-sections: Circular, Annular, Elliptic, Equilateral triangular and Rectangular cross-sections. Flow between two concentric rotating cylinders. Stagnation point flows: Hiemenz flow, Homann flow Flow due to a rotating disc.
Essential Readings:
- An introduction to fluid dynamics, R.K. Rathy, Oxford and IBH Publishing Co.1976.
- Textbook of fluid dynamics, F. Chorlton, CBS Publishers, Delhi.
- Fluid Mechanics, L. D. Landau and E.N. Lipschitz, Pergamon Press, London,1985.
- Fluid Dynamics: Dr. M.D. Raisinghania, S. Chand
Academic Year:
