Axisymmetric flow due to a stretching sheet with partial slip

The steady, laminar, axisymmetric flow of a Newtonian fluid due to a stretching sheet when there is a partial slip of the fluid past the sheet has been investigated. The flow is governed by a third-order non-linear boundary value problem whose exact numerical solution has been obtained non-iteratively in terms of the non-dimensional slip parameter λ. A perturbation solution valid for small λ and an asymptotic solution valid for large λ have been derived. Finally a solution based upon He’s homotopy perturbation method has been developed. The latter, being analytical, is elegant but is sufficiently accurate for all values of λ.