This paper investigates the effects of variation in viscosity and thermal conductivity on the peristaltic mechanism of Rabinowitsch fluid through a nonuniform tube. The convective surface conditions and wall properties are taken into account. The governing equations of motion, momentum, and energy are rendered dimensionless and are solved using long wavelength and small Reynolds number approximations. The series solution technique is employed to solve the resulting nonlinear temperature equation. The effects of relevant parameters on physiological quantities of interest are analyzed graphically, and the validation of the present model with the existing literature has been presented through graphs. The outcomes of the study reveal that an increase in the value of variable viscosity and thermal conductivity enhances the velocity and temperature profiles for dilatant, Newtonian, and pseudo plastic fluid models.Further,anincreaseinthevalueofvariableviscosityenhances the skin friction coefficient and Nusselt number. Moreover, the presence of variable viscosity diminishes the volume of the trapped bolus.

中文翻译：

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对流加热的非均匀管中具有可变液体性质的非牛顿流体的蠕动运动：Rabinowitsch 流体模型

本文研究了粘度和热导率的变化对 Rabinowitsch 流体通过非均匀管的蠕动机制的影响。考虑了对流表面条件和壁面特性。运动、动量和能量的控制方程被渲染为无量纲，并使用长波长和小雷诺数近似求解。采用串联求解技术来求解所得的非线性温度方程。相关参数对感兴趣的生理量的影响以图形方式进行分析，并通过图形展示了现有文献对本模型的验证。研究结果表明，可变粘度和热导率值的增加增强了膨胀流体、牛顿流体和假塑性流体模型的速度和温度曲线。此外，可变粘度值的增加增强了蒙皮摩擦系数和努塞尔特数。此外，可变粘度的存在减少了截留丸剂的体积。