XE-B Fluid Mechanics
Section 1: Flow and Fluid Properties
viscosity, relationship between stress and strain-rate for Newtonian fluids, incompressible
and compressible flows, differences between laminar and turbulent flows. Hydrostatics:
Buoyancy, manometry, forces on submerged bodies.
Section 2: Kinematics
Eulerian and Lagrangian description of fluids motion, concept of local and convective
accelerations, steady and unsteady flows.
Section 3: Integral analysis
Control volume analysis for mass, momentum and energy.
Section 4: Differential Analysis
Differential equations of mass and momentum for incompressible flows: inviscid - Euler
equation and viscous flows - Navier-Stokes equations, concept of fluid rotation, vorticity,
stream function, Exact solutions of Navier-Stokes equation for Couette Flow and Poiseuille
Section 5: Inviscid flows
Bernoulli’s equation - assumptions and applications, potential function, Elementary plane
flows - uniform flow, source, sink and doublet and their superposition for potential flow
past simple geometries.
Section 6: Dimensional analysis
Concept of geometric, kinematic and dynamic similarity, some common non-dimensional
parameters and their physical significance: Reynolds number, Froude number and Mach
Section 7: Internal flows
Fully developed pipe flow, empirical relations for laminar and turbulent flows: friction
factor and Darcy-Weisbach relation.
Section 8: Prandtl boundary layer equations
Concept and assumptions, qualitative idea of boundary layer and separation,
streamlined and bluff bodies, drag and lift forces. Flow measurements: Basic ideas of flow
measurement using venturimeter, pitot-static tube and orifice plate.