# MSc (Mathematics and Computing) Programme:Fluid Mechanics

Thapar UniversityPrice on request

Price on request

Free

£ 399 - (Rs 32,703)

£ 295 - (Rs 24,179)

+ VAT

## Important information

- Master
- Patiala

Starts | Location |
---|---|

On request |
PatialaThapar University P.O Box 32, 147004, Punjab, India See map |

## Course programme

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.