NOTE: Attempt any FIVE questions selecting at least TWO questions from each section.

Section-I (5/9)

Conservation of Matter

•    Introduction

•    Fields and continuum concepts

•    Lagrangian and Eulerian specifications

•    Local, Convective and total rates of change

•    Conservation of mass

•    Equation of continuity

•    Boundary conditions

Nature of Forces and Fluid Flow

•    Surface and body forces

•    Stress at a point

•    Viscosity and Newton’s viscosity law

•    Viscous and inviscid flows

•    Laminar and turbulent flows

•    Compressible and incompressible flows

Irrotational Fluid Motion

•    Velocity potential from an irrotational velocity field

•    Streamlines

•    Vortex lines and vortex sheets

•    Kelvin’s minimum energy theorem

•    Conservation of linear momentum

•    Bernoulli’s theorem and its applications

•    Circulation, Rate of change of circulation (Kelvin’s theorem)

•    Aaxially symmetric motion

•    Stokes’s stream function

Two-dimensional Motion

•    Stream function

•    Complex potential and complex velocity, Uniform flows

•    Sources, Sinks and vortex flows

•    Flow in a sector

•    Flow around a sharp edge

•    Flow due to a doublet



Section-II (4/9)

Two and Three-Dimensional Potential Flows

•    Circular cylinder without circulation

•    Circular cylinder with circulation

•    Blasius theorem

•    Kutta condition and the flat-plate airfoil

•    Joukowski airfoil

•    Vortex motion

•     Karman’s vortex street

•    Method of images

•    Velocity potential

•    Stoke’s stream function

•    Solution of the Potential equation

•    Uniform flow

•    Source and sink

•    Flow due to a doublet

Viscous Flows of Incompressible Fluids

•    Constitutive equations

•    Navier-Stokes equations and their exact solutions

•    Steady unidirectional flow

•    Poiseuille flow

•    Couette flow

•    Flow between rotating cylinders

•    Stokes’ first problem

•    Stokes’ second problem

Approach to Fluid Flow Problems

•    Similarity from a differential equation

•    Dimensional analysis

•    One dimensional, Steady compressible flow