In this investigation, the series solutions of mixed convection boundary layer flow
over a vertical permeable cylinder are constructed. Two types of series as well numerical
solutions are presented by choosing exponential and rational bases. The
resulting differential system are solved by employing homotopy analysis method
and Pade technique which have been proven to be successful in tackling non-linear
problems. We offer various verifications of the solutions by comparing to existing,
documented results and also mathematically, through reduction of sundry parameters.
The convergence of the series solutions have been discussed explicitly. Comparison
with existing results reveal that the series solutions are not only valid for
large (aiding flow) but also for small values (opposing flow) of l and the dual solutions
do not obtain in both cases.
