Abstract
The present paper describes the analytical solutions for the steady boundary-layer flow of a Maxwell fluid over a shrinking sheet. The governing equations of motion are reduced into the set of nonlinear ordinary differential equations by using similarity transformations. Two types of problems, namely, (i) two-dimensional stagnation flow towards a shrinking sheet and (ii) axisymmetric stagnation flow towards an axisymmetric shrinking sheet have been discussed. The series solutions of the problems are obtained by using the homotopy analysis method (HAM). Convergence of the obtained series solutions is analyzed and discussed in detail through graphs for various parameters of interest.