Current research models the Al₂O₃ 47nm and Al₂O₃ 36nm nanoparticles transportation through peristalsis with entropy optimization. Conservation laws for mass, momentum and energy are used to model the present flow situation. These equations elaborates the magnetohydrodynamics, Hall, thermal radiation, Joule heating, heat generation and absorption. Convective heat transfer impacts are studied at channel walls. Entropy is modeled in view of thermodynamics second law. Two different expressions for effective viscosity are accounted. Simplification of the modeled equations is done through lubrication assumptions. Solution for momentum equation is obtained analytically and for numerically for temperature equation. Built-in shooting procedure is utilized to obtain the desired numerical results. Later on these obtained results are used to sketch and discussed the flow quantities of interest for the influential parameters accounted in the problem.

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用于生物医学应用的非线性微分方程的 Al2O3-47 nm 和 Al2O3-36 nm 表征：磁化蠕动传输

目前的研究模拟了 Al ₂ O ₃ 47nm 和 Al ₂ O ₃36nm 纳米粒子通过熵优化蠕动传输。质量、动量和能量的守恒定律用于模拟当前的流动情况。这些方程详细阐述了磁流体动力学、霍尔、热辐射、焦耳热、热产生和吸收。研究了通道壁处的对流传热影响。熵是根据热力学第二定律建模的。计算了有效粘度的两种不同表达式。模型方程的简化是通过润滑假设完成的。动量方程的解是解析得到的，温度方程是数值解。内置的射击程序用于获得所需的数值结果。