In the presence of suction/injection, a mathematical formulation for laminar boundary layer flow and heat transfer of an incompressible viscous fluid along an expandable-stretching horizontal cylinder is provided. The partial differential equations governing system is reduced to a system of ordinary differential equations. With the aid of Mathematica, semi-analytical solutions for the resultant system of ordinary differential equations are obtained using the OHAM (Optimal Homotopy Asymptotic Method) and the Legendre-Galerkin method. It is found that the suction process increases surface stiffness and strength while the injection process reduces surface skin friction. Also, other flow and thermal factors are discussed graphically.

在存在吸入/喷射的情况下，提供了不可压缩粘性流体沿可膨胀-拉伸水平圆柱体的层流边界层流动和热传递的数学公式。控制系统的偏微分方程简化为常微分方程组。借助 Mathematica，使用 OHAM（最优同伦渐近方法）和 Legendre-Galerkin 方法获得常微分方程合成系统的半解析解。发现抽吸过程增加了表面刚度和强度，而注射过程减少了表面皮肤摩擦。此外，还以图形方式讨论了其他流量和热因素。