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Fluid Dynamics-I (Compulsory Paper) [1]

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: 
  1. An introduction to fluid dynamics, R.K. Rathy, Oxford and IBH Publishing Co.1976. 
  2. Textbook of fluid dynamics, F. Chorlton, CBS Publishers, Delhi. 
  3. Fluid Mechanics, L. D. Landau and E.N. Lipschitz, Pergamon Press, London,1985.
  4. Fluid Dynamics: Dr. M.D. Raisinghania, S. Chand
 
Academic Year: 
2014-2015 [2]

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[1] https://maths.iisuniv.ac.in/courses/subjects/fluid-dynamics-i-compulsory-paper-5
[2] https://maths.iisuniv.ac.in/academic-year/2014-2015