{"title":"存在发热和化学反应的径向拉伸圆盘上的磁流体马兰戈尼流体流动、传热和传质","authors":"Hiranmoy Maiti, Swati Mukhopadhyay, K. Vajravelu","doi":"10.1177/09544089241253742","DOIUrl":null,"url":null,"abstract":"The analysis of magnetohydrodynamic (MHD) Marangoni fluid flow, heat, and mass transport over a disk is considered in this article. The fluid is assumed to pass radially over a stretching disk. Suction/blowing at the boundary, internal heat generation/absorption, and a first-order chemical reaction are also considered. By using appropriate similarity transformations, the governing nonlinear partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs). These ODEs along with the appropriate boundary conditions for the model are solved numerically by a shooting technique using MATHEMATICA software. The obtained results are compared with the available results in the literature for some special cases. The effects of the magnetic parameter, the Marangoni number, Marangoni ratio parameter along with the other pertinent parameters on fluid flow, heat and mass transport are analyzed and discussed in detail. It is noted that higher magnetic field depresses the fluid velocity whereas the fluid temperature and fluid concentration are uplifted with an increase in the magnetic field parameter. A quite opposite behavior is observed for Marangoni number. Marangoni ratio parameter boosted the fluid velocity as well as the fluid concentration and the temperature. Also externally applied suction significantly affects the fluid behavior. Increasing chemical reaction parameter reduces the fluid concentration. It is observed that a maximum increase in the Nusselt number occurs for Marangoni parameter Ma, which is 34.75595% when the suction/injection parameter s = 0.5. Also, for Marangoni ratio parameter Ra, a maximum increase in Nusselt number occurs, which is 6.7884% when suction/injection parameter s = 0.5.","PeriodicalId":506108,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering","volume":"9 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Magnetohydrodynamic Marangoni fluid flow, heat, and mass transfer over a radially stretching disk in the presence of heat generation and chemical reaction\",\"authors\":\"Hiranmoy Maiti, Swati Mukhopadhyay, K. Vajravelu\",\"doi\":\"10.1177/09544089241253742\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The analysis of magnetohydrodynamic (MHD) Marangoni fluid flow, heat, and mass transport over a disk is considered in this article. The fluid is assumed to pass radially over a stretching disk. Suction/blowing at the boundary, internal heat generation/absorption, and a first-order chemical reaction are also considered. By using appropriate similarity transformations, the governing nonlinear partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs). These ODEs along with the appropriate boundary conditions for the model are solved numerically by a shooting technique using MATHEMATICA software. The obtained results are compared with the available results in the literature for some special cases. The effects of the magnetic parameter, the Marangoni number, Marangoni ratio parameter along with the other pertinent parameters on fluid flow, heat and mass transport are analyzed and discussed in detail. It is noted that higher magnetic field depresses the fluid velocity whereas the fluid temperature and fluid concentration are uplifted with an increase in the magnetic field parameter. A quite opposite behavior is observed for Marangoni number. Marangoni ratio parameter boosted the fluid velocity as well as the fluid concentration and the temperature. Also externally applied suction significantly affects the fluid behavior. Increasing chemical reaction parameter reduces the fluid concentration. It is observed that a maximum increase in the Nusselt number occurs for Marangoni parameter Ma, which is 34.75595% when the suction/injection parameter s = 0.5. 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引用次数: 0
摘要
本文分析了磁流体动力学(MHD)马兰戈尼流体在圆盘上的流动、热量和质量传输。假设流体径向流过一个拉伸圆盘。还考虑了边界的吸/吹、内部热量产生/吸收和一阶化学反应。通过使用适当的相似性变换,理事非线性偏微分方程 (PDE) 被转换为常微分方程 (ODE)。通过使用 MATHEMATICA 软件的射击技术,对这些 ODE 以及模型的适当边界条件进行了数值求解。得到的结果与文献中某些特殊情况下的结果进行了比较。详细分析和讨论了磁参数、马兰戈尼数、马兰戈尼比参数以及其他相关参数对流体流动、热量和质量传输的影响。我们注意到,磁场越大,流体速度越低,而流体温度和流体浓度则随着磁场参数的增加而上升。在马兰戈尼数方面,观察到了截然相反的行为。马兰戈尼比率参数提高了流体速度以及流体浓度和温度。此外,外部施加的吸力也会对流体行为产生重大影响。增加化学反应参数会降低流体浓度。据观察,当吸入/注入参数 s = 0.5 时,马兰戈尼参数 Ma 的努塞尔特数增幅最大,达到 34.75595%。此外,对于马兰戈尼比率参数 Ra,当吸入/注入参数 s = 0.5 时,努塞尔特数的增幅最大,为 6.7884%。
Magnetohydrodynamic Marangoni fluid flow, heat, and mass transfer over a radially stretching disk in the presence of heat generation and chemical reaction
The analysis of magnetohydrodynamic (MHD) Marangoni fluid flow, heat, and mass transport over a disk is considered in this article. The fluid is assumed to pass radially over a stretching disk. Suction/blowing at the boundary, internal heat generation/absorption, and a first-order chemical reaction are also considered. By using appropriate similarity transformations, the governing nonlinear partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs). These ODEs along with the appropriate boundary conditions for the model are solved numerically by a shooting technique using MATHEMATICA software. The obtained results are compared with the available results in the literature for some special cases. The effects of the magnetic parameter, the Marangoni number, Marangoni ratio parameter along with the other pertinent parameters on fluid flow, heat and mass transport are analyzed and discussed in detail. It is noted that higher magnetic field depresses the fluid velocity whereas the fluid temperature and fluid concentration are uplifted with an increase in the magnetic field parameter. A quite opposite behavior is observed for Marangoni number. Marangoni ratio parameter boosted the fluid velocity as well as the fluid concentration and the temperature. Also externally applied suction significantly affects the fluid behavior. Increasing chemical reaction parameter reduces the fluid concentration. It is observed that a maximum increase in the Nusselt number occurs for Marangoni parameter Ma, which is 34.75595% when the suction/injection parameter s = 0.5. Also, for Marangoni ratio parameter Ra, a maximum increase in Nusselt number occurs, which is 6.7884% when suction/injection parameter s = 0.5.