Estb. 1882

University of the Punjab

MATH-415 Fluid Mechanics-I

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 in a Fluid Field and their Effects
 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
 Circulations, 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
Credit hours/ Marks:- 3

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