On the analytic solutions of the nonhomogeneous Blasius problem

In this article a totally analytic solution of the nonhomogeneous Blasius problem is obtained using the homotopy analysis method (HAM). This solution converges for 0 ⩽ η < ∞ . Existence and nonuniqueness of solution is also discussed. An implicit relation between the velocity at the wall λ and the shear stress α = f ′ ′ ( 0 ) is obtained. The results presented here indicate that two solutions exist in the range 0 < λ < λ c , for some critical value λ c one solution exists for λ = λ c , and no solution exists for λ > λ c . An analytical value of the critical value of λ c was also obtained for the first time.