The suction and injection effects on the free convection boundary-layer flow
over a vertical cylinder are studied. The main stream velocity and wall temperature
are proportional to the axial distance along the surface of the cylinder. Both analytic
and numerical solutions of the arising mathematical problem are obtained. An analytic
solution is derived by a new analytical method (DTM-Padé) and numerical solutions
have been performed by using a fourth-order Runge–Kutta and shooting methods.
Velocity and temperature profiles are shown graphically. It is shown that the differential
transform method (DTM) solutions are only valid for small values of the
independent variable but the obtained results by DTM-Padé are valid for the whole
solution domain with high accuracy. These methods can be easily extended to other
linear and nonlinear equations and so can be found widely applicable in engineering
and sciences.
