A. Akindele, A. Obalalu, A. Ogunsola, O. Ajala, Oladapo Olayinka Akeem
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The finite difference method (FDM) and MAPLE 18.0 software were used to solve the resultant equations numerically. According to the findings, the thermal Grashof number and the mass Grashof number of the nano-fluid flow model were able to improve the strength of the drag coefficient, the rate of heat transfer at the surface of the plate, and the Sherwood number. Additionally, there was a reduction in the velocity gradient as the magnetic field strength increased. The concentration decreases when a chemical reaction is present, but it improves as the activation energy rises. These findings will help engineers create devices with strong heat and mass transfer rates. The results were compared to previously published research to assess their validity and discovered a large degree of consistency.","PeriodicalId":262023,"journal":{"name":"Diffusion Foundations and Materials Applications","volume":"14 14","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"MHD Casson Flow over a Non-Linear Convective Inclined Plate with Chemical Reaction and Arrhenius Activation Energy\",\"authors\":\"A. Akindele, A. Obalalu, A. Ogunsola, O. Ajala, Oladapo Olayinka Akeem\",\"doi\":\"10.4028/p-xbz0f1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study examines the Magnetohydrodynamics (MHD) Casson flow passing over a non-linear convective inclined plate with incorporating a chemical reaction and Arrhenius activation energy. 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引用次数: 0
摘要
本研究探讨了穿过非线性对流斜板的卡松流体(MHD)的磁流体力学(MHD)流动,其中包含化学反应和阿伦尼乌斯活化能。然而,在理论和数值上解决了二维辐射卡松流体(CF)穿过非线性对流斜板时存在热量产生的磁流体力学流动问题。阿伦尼乌斯活化能和化学反应是该模型创新性的两个附加影响因素。通过应用适当的转换,PDE(偏微分方程)结合边界条件被转换为相似变量的耦合 ODE(常微分方程)。使用有限差分法(FDM)和 MAPLE 18.0 软件对结果方程进行数值求解。研究结果表明,纳米流体流动模型的热格拉肖夫数和质量格拉肖夫数能够提高阻力系数、板表面传热速率和舍伍德数的强度。此外,随着磁场强度的增加,速度梯度也有所减小。发生化学反应时,浓度会降低,但随着活化能的升高,浓度会提高。这些发现将有助于工程师制造出具有强大传热和传质速率的设备。我们将这些结果与之前发表的研究结果进行了比较,以评估其有效性,结果发现两者在很大程度上是一致的。
MHD Casson Flow over a Non-Linear Convective Inclined Plate with Chemical Reaction and Arrhenius Activation Energy
This study examines the Magnetohydrodynamics (MHD) Casson flow passing over a non-linear convective inclined plate with incorporating a chemical reaction and Arrhenius activation energy. However, the magneto-hydrodynamic flow of two-dimensional radiative Casson fluid (CF) across a non-linear convective inclined plate in the existence of heat generation is addressed theoretically and numerically. The Arrhenius activation energy and chemical reaction are two additional impacts that have been added to the innovative nature of the model. By applying the appropriate transformations, PDEs (partial differential equations) were converted into coupled ODEs (ordinary differential equations) in terms of similarity variables combined with the boundary conditions. The finite difference method (FDM) and MAPLE 18.0 software were used to solve the resultant equations numerically. According to the findings, the thermal Grashof number and the mass Grashof number of the nano-fluid flow model were able to improve the strength of the drag coefficient, the rate of heat transfer at the surface of the plate, and the Sherwood number. Additionally, there was a reduction in the velocity gradient as the magnetic field strength increased. The concentration decreases when a chemical reaction is present, but it improves as the activation energy rises. These findings will help engineers create devices with strong heat and mass transfer rates. The results were compared to previously published research to assess their validity and discovered a large degree of consistency.