The objective of this article is to investigate the impact of pseudoplaticity and dilatancy of fluid on peristaltic flow and heat transfer of non-Newtonian fluid in a non-uniform asymmetric channel. The mathematical-model incorporates the non-linear implicit stress deformation relation using the classical Reiner-Philippoff viscosity model, which is one of the very few non-Newtonian models exhibiting all the pseudoplastic, dilatant and Newtonian behaviors. The governing equations for the peristaltic flow and heat transfer of Reiner-Philippoff fluid are modeled using the low Reynolds-number and long wavelength approximation. Results of the study are presented graphically to discuss the impact of pseudoplaticity and dilatancy of fluid on the velocity, pressure gradient, bolus movement and temperature profile. The article is concluded with key observations that by increasing the value of the Reiner-Philippoff fluid parameter the velocity of fluid increase at the center of the channel and decreases near the boundaries of the channel. Effects of the shear stress parameter are opposite on pseudoplastic and dilatants fluid. By increasing the value of the shear stress parameter the velocity of the pseudoplastic fluid increases near the center of the channel, whereas the velocity of dilatants fluid decreases.

本文的目的是研究流体在非均匀非对称通道中的假平整度和膨胀率对非牛顿流体的蠕动和传热的影响。该数学模型使用经典的Reiner-Philippoff粘度模型合并了非线性隐式应力变形关系，该模型是极少数表现出所有拟塑性，膨胀和牛顿行为的非牛顿模型之一。Reiner-Philippoff流体的蠕动流动和热传递的控制方程是使用低雷诺数和长波长近似建模的。研究结果以图形方式呈现，以讨论流体的假平直性和膨胀性对速度，压力梯度，弹丸运动和温度曲线的影响。本文的主要结论是，通过增加Reiner-Philippoff流体参数的值，流体速度在通道中心处增加，并在通道边界附近降低。剪应力参数对假塑性流体和膨胀流体的作用相反。通过增加切应力参数的值，假塑性流体的速度在通道中心附近增大，而膨胀流体的速度减小。