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INTRODUCTORY LECTURES ON FLUID DYNAMICS - LMU

INTRODUCTORY LECTURES ON FLUIDDYNAMICSR oger K. SmithVersion: June 13, 2008 Contents1 Descriptionoffluidflow .. Incompressibleflows .. Conservationofmass:thecontinuityequation .. 72 Equation of motion: some Rate-of-changemovingwiththefluid .. Internalforcesinafluid .. Fluidandsolids:pressure .. Pressure gradient forces in a FLUID in macroscopic equilibrium . Equilibrium of a horizontal element .. Equilibrium of a vertical element .. 183 Equations of motion for an inviscid Equationsofmotionforanincompressiblevisc ousfluid.

Equa-tion (1.1) gives two differential equations (why?). Alternatively, we can represent the streamline parameterically (with time as parameter) as. ... To begin with we shall be concerned mainly with homogeneous, incompressible inviscid flows. 1.4 Incompressible flows Consider an element of fluid bounded by a “tube of streamlines ...

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