The current work pertains to the peristaltic motion of a Casson fluid through a non-uniform channel with exposure to a radial magnetic field. The wall properties of the channel are taken into consideration. Moreover, the fluid is considered to possess variable viscosity which shows exponential variation across the width of the channel. The investigations also consider the mass and heat transfer properties of the Casson fluid, where convective boundary conditions are used and the thermal conductivity is taken be varying with fluid temperature. The model is built to give insight into blood flow through small vessels. Solution to the problem is obtained by the method of perturbation. The graphical analysis reveals an increase in the effect of variable viscosity on the fluid velocity close to the walls of the channel and also on the size of the bolus formed during trapping. Furthermore, an increase in fluid temperature was observed due to variable thermal conductivity.

目前的工作是关于卡森流体通过非均匀通道的蠕动运动，并暴露在径向磁场中。考虑了通道的壁特性。此外，流体被认为具有可变的粘度，其在通道的宽度上显示出指数变化。研究还考虑了 Casson 流体的传质和传热特性，其中使用了对流边界条件并且热导率随流体温度而变化。该模型旨在深入了解通过小血管的血流。该问题的解决方案是通过扰动的方法获得的。图形分析揭示了可变粘度对靠近通道壁的流体速度的影响以及对捕获过程中形成的团块大小的影响增加。此外，由于可变的热导率，观察到流体温度升高。