FLUID DYNAMICS (Compulsory Paper)
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.
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
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.
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).
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.
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