Owing to the fundamental significances of peristalsis phenomenon in various biological systems like circulation of blood in vessels, lungs devices, pumping of blood in heart and movement of chyme in the gastrointestinal tract, variety of research by scientist on this topic has been presented in recently years. The peristaltic pumping plays a novel role in various industrial processes like transfer of sanitary materials, the pumping equipment design of roller pumps and many more. The present article investigates numerically the theoretical aspects of heat and mass transportation in peristaltic pattern of Carreau fluid through a curved channel. The computations for axial velocity, pressure rise, temperature field, mass concentration, and stream function are carried out under low Reynolds number and long wavelength approximation in the wave frame of reference by utilizing appropriate numerical implicit finite difference technique (FDM). The implementation of numerical procedure and graphical representation of the computations are accomplished using MATLAB language. The impacts of rheological parameters of Carreau fluid, Brinkmann number, curvature parameter and Hartmann number are shown and discussed briefly. The study shows that for shear thinning of bio-materials, the velocity exhibits the boundary layer character near the boundary walls for greater Hartmann number. The interesting observations based on numerical simulations are graphically elaborated. The results show that the curvature of channel with larger value allows more heat transportation within the flow domain. On the contrary, inside the channel wall, the solutal mass concentration follows an increasing trend with decreasing the channel curvature. The temperature profile enhanced with increment of power-law index and curvature parameter. Moreover, the concentration profile increases with Brinkmann number and Hartmann number.

由于蠕动现象在各种生物系统中的基本意义，例如血管中的血液循环，肺部设备，心脏中的血液泵送和胃肠道中的食糜运动，近年来，科学家对这一主题进行了多种研究。 。蠕动泵在各种工业过程中起着新颖的作用，例如卫生材料的转移，滚子泵的泵设备设计等等。本文从数值上研究了Carreau流体通过弯曲通道的蠕动模式下的传热和传质理论。轴向速度，压力上升，温度场，质量浓度，通过使用适当的数值隐式有限差分技术（FDM），在参考波框架中在低雷诺数和长波长近似下执行流函数。数值过程的实现和计算的图形表示是使用MATLAB语言完成的。简要讨论了Carreau流体的流变参数，Brinkmann数，曲率参数和Hartmann数的影响。研究表明，对于生物材料的剪切稀化，对于哈特曼数越大，速度在边界壁附近表现出边界层特征。图形化地阐述了基于数值模拟的有趣观察。结果表明，通道曲率值越大，流域内的传热越多。相反，在通道壁内部，随着通道曲率的减小，溶质质量浓度呈上升趋势。温度曲线随幂律指数和曲率参数的增加而增强。此外，浓度分布随布林克曼数和哈特曼数增加。