This paper is intended for dealing with the peristaltic flow of an electrically conducting Williamson nanofluid in a tapered asymmetric channel through a porous medium with heat and mass transfer. In the current paper, temperature-dependent electrical conductivity formulation was introduced for the first time in peristaltic literature. The flow is pervaded by an oblique uniform magnetic field. The present investigation includes the influences of thermal radiation, Joule heat, viscous dissipation, Hall Current, 1st order chemical reaction, and Dofour and Soret numbers. Current problem is reformulated under the molds of low Reynolds number and long wavelength approximation. Afterwards, semi analytical solutions have been evaluated for the distributions of velocity, temperature, nanoparticle concentrations as well as longitudinal pressure gradient. Solutions can be obtained by using multi-step differential transform method (MS-DTM), a reliable and powerful technique that improve accuracy and overcome drawbacks raised in using the standard differential transform method (DTM). Detailed comparisons have been made at different values of 𝑥 through graphs by Ms-DTM. The graphically results were prepared to visualize the effects of various physical parameters of interest. The semi-analytical results had shown that, as the thermal radiation increases, the nanoparticles diameter and concentration of fluid increase (thermal radiation is a decreasing function in temperature when the temperature decreases the diameter of the nanoparticles increases i.e. the volume of nanoparticle and its concentration increases and become more effective near to tumor tissues). Consequently, it can be used as agents for radiation therapy, generate localized raises in radiation doses and selectively target tumor cells for localized damage (Radiotherapy of oncology).

中文翻译：

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温度相关的电导率和热辐射对威廉姆森纳米流体在锥形非对称通道中的 MHD 蠕动的影响

本文旨在处理导电威廉姆森纳米流体在锥形不对称通道中通过多孔介质的蠕动流动，并进行传热和传质。在当前的论文中，蠕动文献中首次引入了与温度相关的电导率公式。流动被倾斜的均匀磁场所贯穿。目前的研究包括热辐射、焦耳热、粘性耗散、霍尔电流、一阶化学反应以及 Dofour 和 Soret 数的影响。当前问题是在低雷诺数和长波长近似模型下重新表述的。之后，对速度、温度、纳米粒子浓度以及纵向压力梯度的分布的半解析解进行了评估。可以通过使用多步微分变换方法 (MS-DTM) 获得解决方案，这是一种可靠且强大的技术，可提高准确性并克服使用标准微分变换方法 (DTM) 所带来的缺点。Ms-DTM通过图表对不同的𝑥值进行了详细比较。准备图形结果以可视化感兴趣的各种物理参数的影响。半解析结果表明，随着热辐射的增加，纳米颗粒的直径和流体的浓度增加（热辐射是温度降低时纳米颗粒直径增加的递减函数，即纳米颗粒的体积和浓度增加在肿瘤组织附近增加并变得更有效）。最后，