Express the shear stress ro at the plate in terms of 5 then

Question

(i) Express the shear stress r_o at the plate in terms of 5. Then apply the momentum integral equation to obtain expressions for S and r₀ in terms of r (the distance along the plate from its leading edge).

(ii) State to three decimal places the corresponding values of the parameters

K1 = δ/x(Re_x)^1/2, K₂ = T₀ //12ρU²(Re_x)^1/2, k₃ = δ₁/δ k_{3 =} δ_1/δ₂

where Re_s =Ux/v.

Comment on part (a)(iv): You should find that the results are remarkably close to those for the exact solution in Table 2.2 of Una 13. Indeed, the values for u/U obtained from this profile differ from those of the exact solution in Table 2.2 by no more than 11%.

The profile is continuous and smooth at y/5 = 3 and satisfies the conditions

u = ∂²u/∂² = 0 at y = 0,

u- U = ∂u/∂y = 0 at y = ∂,

Although ∂²u/∂y² ≠ 0 at y = δ