This paper examines the effect of heterogeneous chemical reaction on the transport of a solute in a Casson fluid flow through an annular pipe under a periodic pressure gradient. Aris–Barton's method of moments is employed to understand the transport process. A finite difference implicit scheme is utilized to solve the momentum equation as well as the integral moment equation arising from the unsteady convective diffusion equation. Using the Hermite polynomial representation, the mean concentration distribution in the axial direction is acquired from the first four central moments. The transport phenomenon is discussed by three transport coefficients, namely exchange, advection, and dispersion coefficients owing to wall reactions, yield stress, radius ratio, etc. The present study can, therefore, be helpful to understand the transport process in blood flow through arteries.

中文翻译：

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关于反应性溶质在通过环空的脉动 Casson 流体流中的传输

本文研究了非均相化学反应对在周期性压力梯度下通过环形管道的卡森流体中溶质传输的影响。Aris-Barton 的矩量法用于理解传输过程。利用有限差分隐式格式求解动量方程以及由非定常对流扩散方程产生的积分矩方程。使用 Hermite 多项式表示，从前四个中心矩获得轴向上的平均浓度分布。由于壁反应、屈服应力、半径比等，通过三个传输系数讨论传输现象，即交换系数、平流系数和色散系数。 因此，本研究可以，因此，