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倾斜磁场和传热对倾斜通道中拉宾诺维奇流体模型蠕动流的影响。

Influence of inclined magnetic field and heat transfer on the peristaltic flow of Rabinowitsch fluid model in an inclined channel.

作者信息

Elmhedy Y, Abd-Alla A M, Abo-Dahab S M, Alharbi F M, Abdelhafez M A

机构信息

Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt.

Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt.

出版信息

Sci Rep. 2024 Feb 27;14(1):4735. doi: 10.1038/s41598-024-54396-z.

DOI:10.1038/s41598-024-54396-z
PMID:38413619
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11319720/
Abstract

The recent study is focused on discussion of heat transfer and magnetic field results of peristaltic flow of Rabinowitsch fluid model in an Inclined Channel. In this piece of research, peristalsis's fundamental problem with heat transfer in the presence of a magnetic field is checked. An incompressible Rabinowitsch fluid is present in an inclined channel, which is considered as the reference for this research. The solutions are devised with the assumptions of long wavelength and low Reynolds number approximations. The resulting equations are then solved exactly by implementing various command of MATHEMATICA subject to relevant boundary conditions. Results are discussed for various flow quantities like temperature, velocity, tangential stress, pressure gradient and rise, and friction force. Computational simulations are performed to determine the flow quantities. This investigation goes beyond mere calculations and examines particle motion to gain deeper insights into flow quantities. Furthermore, this investigates how magnetic field and heat transfer parameters influence these peristaltic flow phenomena. The outcomes of important parameters were plotted and scrutinized. There is amultitude of medical implementations derived from the current consideration, such as the depiction of the gastric juice motion in the small intestine when an endoscope is inserted through it.

摘要

最近的研究集中在讨论倾斜通道中拉宾诺维奇流体模型蠕动流的传热和磁场结果。在这项研究中,研究了存在磁场时蠕动与传热的基本问题。倾斜通道中存在不可压缩的拉宾诺维奇流体,这被视为本研究的参考对象。在长波长和低雷诺数近似的假设下设计解决方案。然后通过在相关边界条件下执行MATHEMATICA的各种命令来精确求解所得方程。讨论了各种流量的结果,如温度、速度、切向应力、压力梯度和上升以及摩擦力。进行了计算模拟以确定流量。这项研究不仅限于计算,还研究了颗粒运动以更深入地了解流量。此外,本研究还考察了磁场和传热参数如何影响这些蠕动流现象。绘制并仔细检查了重要参数的结果。从当前的研究中得出了许多医学应用,例如在内窥镜插入小肠时描绘胃液的运动。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/9ba5094da8ed/41598_2024_54396_Fig11_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/9ba5094da8ed/41598_2024_54396_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/7349f416ab1d/41598_2024_54396_Fig1_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/775ff63c86d4/41598_2024_54396_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/74e707df4237/41598_2024_54396_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/6d89a7a14a6b/41598_2024_54396_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/f8eceeff00aa/41598_2024_54396_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/b6128e00089d/41598_2024_54396_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/47f89f9baa49/41598_2024_54396_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/a46b0c86bc0f/41598_2024_54396_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/3bf9f78197d4/41598_2024_54396_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5ceb/11319720/9ba5094da8ed/41598_2024_54396_Fig11_HTML.jpg

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