5. The velocity profile (where V = ui + vj ) inside the thin boundary layer over a flat plate is given as, u =v* [() - 1

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5 The Velocity Profile Where V Ui Vj Inside The Thin Boundary Layer Over A Flat Plate Is Given As U V 1 1 (38.08 KiB) Viewed 41 times

5. The velocity profile (where V = ui + vj ) inside the thin boundary layer over a flat plate is given as, u =v* [() - 1 035)]: osuso (2) with 8 = 5 PV (3) To answer the parts below, assume that the y-component of velocity within the boundary layer is very small compared to the x-compotent; i.e. u >> v. (a) Find an expression for shear stress Tyr acting on the plate as a function of the position (b) Using the shear stress expression, compute value of the non-dimensional drag force (called as drag coefficient) on the plate of length L and width W and defined as Net Drag Force Drag Coefficient (V)(LW) (c) Find an expression for the vorticity component w, in the direction as a function of a and y. (d) Is the flow rotational or irrorational? e) If a small square fluid element is placed within the boundary layer, sketch its shape as the fluid element moves downstream with the flow,