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具有二元化学反应和热辐射效应的 Riga 板非定常驻点流动的传热传质数学分析

Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects.

作者信息

Khan Umar, Mahmood Zafar, Eldin Sayed M, Makhdoum Basim M, Fadhl Bandar M, Alshehri Ahmed

机构信息

Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan.

Center of Research, Faculty of Engineering, Future University in Egypt New Cairo 11835, Egypt.

出版信息

Heliyon. 2023 Mar 11;9(3):e14472. doi: 10.1016/j.heliyon.2023.e14472. eCollection 2023 Mar.

DOI:10.1016/j.heliyon.2023.e14472
PMID:36967874
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10036645/
Abstract

To aid in the prevention of reaction explosions, chemical engineers and scientists must analyze the Arrhenius kinetics and activation energies of chemical reactions involving binary chemical mixtures. Nanofluids with an Arrhenius kinetic are crucial for a broad variety of uses in the industrial sector, involving the manufacture of chemicals, thermoelectric sciences, biomedical devices, polymer extrusion, and the enhancement of thermal systems via technology. The goal of this study is to determine how the presence of thermal radiation influences heat and mass transfer during free convective unsteady stagnation point flow across extending/shrinking vertical Riga plate in the presence of a binary chemical reaction where the activation energy of the reaction is known in advance. For the purpose of obtaining numerical solutions to the mathematical model of the present issue the Runge-Kutta (RK-IV) with shooting technique in Mathematica was used. Heat and mass transfer processes, as well as interrupted flow phenomena, are characterized and explained by diagrams in the suggested suction variables along boundary surface in the stagnation point flow approaching a permeable stretching/shrinking Riga Plate. Graphs illustrated the effects of many other factors on temperature, velocity, concentration, Sherwood and Nusselt number as well as skin friction in detail. Velocity profile increased with and and decreased with Increasing values of and decline the temperature profile. The concentration profile boosts up with and slow down with and parameters. Skin friction profile increased with and and decreased with Nusselt number profile increased with and radiation. Sherwood number profile shows upsurges with and whereas slow down with . So that the verdicts could be confirmed, a study was done to compare the most recent research with the results that had already been published for a certain case. The outcomes demonstrated strong concordance between the two sets of results.

摘要

为了帮助预防反应爆炸,化学工程师和科学家必须分析涉及二元化学混合物的化学反应的阿仑尼乌斯动力学和活化能。具有阿仑尼乌斯动力学的纳米流体对于工业领域的广泛应用至关重要,包括化学品制造、热电科学、生物医学设备、聚合物挤出以及通过技术增强热系统。本研究的目的是确定在已知反应活化能的二元化学反应存在的情况下,热辐射的存在如何影响自由对流非定常驻点流越过延伸/收缩垂直里加板时的传热和传质。为了获得当前问题数学模型的数值解,使用了Mathematica中带有打靶技术的龙格 - 库塔(RK - IV)方法。传热和传质过程以及间断流现象通过沿驻点流边界表面的建议抽吸变量中的图表进行表征和解释,该驻点流接近可渗透的拉伸/收缩里加板。图表详细说明了许多其他因素对温度、速度、浓度、舍伍德数和努塞尔数以及表面摩擦的影响。速度分布随[具体变量1]和[具体变量2]增加,随[具体变量3]减小。[具体变量4]和[具体变量5]值的增加会降低温度分布。浓度分布随[具体变量6]增加,随[具体变量7]和[具体变量8]参数减小。表面摩擦分布随[具体变量9]和[具体变量10]增加,随[具体变量11]减小。努塞尔数分布随[具体变量12]和辐射增加。舍伍德数分布随[具体变量13]和[具体变量14]出现激增,而随[具体变量15]减小。为了证实这些结论,进行了一项研究,将最新研究结果与已发表的特定案例结果进行比较。结果表明两组结果之间具有很强的一致性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/438da6184db8/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/f045200faeb5/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/e7afd1946af2/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/10cbc0cde16a/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/0bb6094f3340/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/6ab359d52955/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/532605debc98/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/3834eb98e2bb/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/488427979fa6/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/518f73eb7c55/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/b11ced01f5a4/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/f1e56bad3cc6/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/438da6184db8/gr12.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/f045200faeb5/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/e7afd1946af2/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/10cbc0cde16a/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/0bb6094f3340/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/6ab359d52955/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/532605debc98/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/3834eb98e2bb/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/488427979fa6/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/518f73eb7c55/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/b11ced01f5a4/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/f1e56bad3cc6/gr11.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7492/10036645/438da6184db8/gr12.jpg

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