BOUNDARY LAYER THEORY
HIGH RENOLDS NUMBER FLOW BOUNDARY LAYERS(Re ) BOUNDARY LAYERThin region adjacent to surface of a body where viscous forces dominate over inertia forcesRe =Re>> 1 inertiaforcesviscousforces BoundarylayerseparationWake: viscouseffectsnot importantvorticitynot zeroFlowfieldaroundan arbitraryshapeInnerflowStrongviscouseffe ctsOuterflowViscouseffectsnegligibleVort icityzero(Inviscidpotentialflow) BOUNDARY LAYER THEORYSteady ,incompressible 2-D flow with no body forces. Valid for laminar flow for To solve eq. we first assume an approximate velocity profile inside the the wall shear stress to the velocity fieldTypically the velocity profile is taken to be a polynomial in y,and the degree of fluid this polynominaldetermines the number of BOUNDARY conditions which may be satisfied EXAMPLE:L
Vorticity zero (Inviscid potential flow) BOUNDARY LAYER THEORY. Steady ,incompressible 2-D flow with no body forces. Valid for laminar flow O.D.E for To solve eq. we first ”assume” an approximate velocity profile inside the B.L Relate the wall shear stress to the velocity field ...
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