MSc (Mathematics and Computing) Programme:Fluid Mechanics

Semester I

Real Analysis – I
Linear Algebra
Complex Analysis
Fundamentals of Computer Science and C Programming
Discrete Mathematical Structure
Differential Equations


Semester II

Real Analysis –II
Advanced Abstract Algebra
Computer Oriented Numerical Methods
Data Structures
Data Based Management Systems
Operating Systems


Semester III

Topology
Computer Based Optimization Techniques
Computer Networks
Mechanics
Seminar


Semester IV

Functional Analysis
Dissertation


Fluid Mechanics

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.