MA40011: Fluid Mechanics

MA40011
Course name	Fluid Mechanics
Offered by	Mathematics
Credits	4
L-T-P	3-1-0
Previous Year Grade Distribution
4 4 8 14 13 10 EX A B C D P F
Semester	Autumn

Prerequisite

PDE

Syllabus mentioned in ERP

Kinematics of Fluids in Motion : Continuum Hypothesis, Lagrangian and Eularian description, Introduction to stream lines, velocity potential, vorticity vector etc., Equation of continuity. Equations of Motion, Euler s equations of motion, Bernouli s equation. Potential flows. Threedimensional flows : Singularities and image systems. Weiss sphere theorem, axisymmetric flows, Stokes stream function. Two-dimensional flows : stream function and complex potential for two â dimensional, irrotational incompressible flows, two-dimensional image systems, Milne-Thomson circle theorem and its applications, Blasius theorem, use of conformal transformations, Kutta- Joukowski condition, Karman vortex street. Viscous flows : stress analysis in fluid motion, relations between stress and rate of strain, Navier â Stokes equations of motion of a viscous fluid, some exact solutions of Navier â Stokes equations, flow past a sphere, Prandtl s boundary layer theory, Karman s integral equation, inviscid compressible flow Propagation of pressure change.

Time Table

Day	8:00-8:55 am	9:00-9:55 am	10:00-10:55 am	11:00-11:55 am	12:00-12:55 pm		2:00-2:55 pm	3:00-3:55 pm	4:00-4:55 pm	5:00-5:55 pm
Monday
Tuesday
Wednesday
Thursday								NC231	NC231
Friday							NC231	NC231