Analytic Approximate Solution of the Extended Blasius Equation with Temperature-Dependent Viscosity

Abstract An explicit approximate solution is obtained for the extended Blasius equation subject to its well-known classical boundary conditions, where viscosity coefficient assumed be positive and temperature-dependent, which arises in several important layer problems fluid dynamics. This problem extends a previous by Cortell (Appl Math Comput 170:706–710, 2005) when constant, numerical was obtained. A comparison with other solutions demonstrates that our shows an enhancement over some of existing techniques. Moreover, highly accurate estimates skin-friction were calculated found good agreement values Howarth (Proc R Soc A: Phys Eng Sci 164(919):547–579, 1938), Töpfer (Z 60:397–398, 1912), [34] equal 1, it 2.