MSc (Mathematics and Computing) Programme:Fluid MechanicsThapar University
Price on request
Real Analysis – I
Fundamentals of Computer Science and C Programming
Discrete Mathematical Structure
Real Analysis –II
Advanced Abstract Algebra
Computer Oriented Numerical Methods
Data Based Management Systems
Computer Based Optimization Techniques
Kinematics: Lagrangian and Eulerian methods, equation of continuity, stream lines. Path lines and streak lines, velocity potential and stream function, irrotational and rotational motions.
Dynamics: Euler’s equation, Bernoulli’s equation, equations referred to moving axes, impulsive actions, vortex motion and its elementary properties, motions due to circular and rectilinear vortices, Kelvin’s proof of permanence.
Potential Flow: Irrotational motion in two-dimensions, complex-velocity potential sources, sinks, doublets and their images, conformal mapping.
Laminar Flow: Stress components in a real fluid. Navier- Stokes equations of motion. Plane Poiseiuille and Couette flows between two parallel plates. Flow through a pipe of uniform cross section in the form of circle, annulus, Theory of lubrication.
Boundary Layer flows: Boundary layer thickness, displacement thickness, Prandit’s Boundary layer, Boundary layer equations in two dimensions, Blasius Solution, Karman integral equation, separation of boundary layer flow.