MSc (Mathematics and Computing) Programme:Fluid Mechanics
Master
In Patiala
Description
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Type
Master
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Location
Patiala
Facilities
Location
Start date
Start date
Reviews
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.
MSc (Mathematics and Computing) Programme:Fluid Mechanics