This article discusses the effects of polymers on flow of a viscous incompressible fluid induced by a heated, permeable, stretching surface. Our main interest is to investigate the response of skin friction and heat transport in the presence of polymers. In consequence of polymer stretching, an additional stress arises in the equation of motion for the velocity field. The simplest Oldroyd-B model of polymers is used to study polymer presence. A set of equations is derived accordingly and solved numerically by using an iterative scheme. We find that the zero-shear viscosity reduces near the surface because of the polymers’ interaction with the velocity gradients in the boundary layer, but then goes back to zero-shear viscosity on moving away from the plate. Reduction in skin friction and heat flux is also noticed as a result of polymer addition in the base fluid. Dependence of this reduction on different parameters is also investigated.

本文讨论了聚合物对由加热的、可渗透的、拉伸表面引起的粘性不可压缩流体流动的影响。我们的主要兴趣是研究聚合物存在下皮肤摩擦和热传输的响应。由于聚合物拉伸，速度场的运动方程中会产生额外的应力。最简单的 Oldroyd-B 聚合物模型用于研究聚合物的存在。相应地推导出一组方程，并通过使用迭代方案进行数值求解。我们发现，由于聚合物与边界层中速度梯度的相互作用，零剪切粘度在表面附近降低，但在远离板时又回到零剪切粘度。由于在基液中添加聚合物，还注意到皮肤摩擦和热通量的降低。还研究了这种减少对不同参数的依赖性。