Abstract We examine the power series solutions of two classical nonlinear ordinary differential equations fluid mechanics that are mathematically related by their large-distance asymptotic behaviours in semi-infinite domains. The first problem is ‘Sakiadis’ boundary layer over a moving flat wall, for which no exact analytic solution has been put forward. second static air–liquid meniscus with s...

Sakiadis rheology of a generalised polymeric material, as well heat source or sink and magnetic field, are all part this study. Thermal radiations have been introduced into the convective heating process. The translation physical situation set nonlinear equations was achieved through mathematical modelling. To convert resulting partial differential equation ordinary equations, appropriate trans...