MHD自由对流麦克斯韦纳米流体在存在辐射的情况下通过指数加速的垂直表面

R. Biswas, M. Hasan, B. Rana, S. Ahmmed
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引用次数: 4

摘要

本文研究了具有辐射和化学反应的非定常MHD自由对流麦克斯韦纳米流体在指数加速垂直表面上的流动。为了得到数值解,将控制偏微分方程用一般的数学变换变换成无量纲偏微分方程。采用显式有限差分法(EFDM)进行数值求解,其中以ForTran编程语言为主要研究工具。稳定性分析技术(SAT)用于选择合适的参数值。然后,得到的数值结果受到这些无量纲参数的影响,如磁性参数(M)、麦克斯韦参数(Mx)、施密特数(Sc)、格拉什夫数(Gr)、刘易斯数(Le)等。从不同角度分析了速度、温度和浓度随表面摩擦系数(Cf)、努塞尔数(Nu)和舍伍德数(Sh)的变化规律。此外,本文还讨论了不同参数下的流线和等温线。最后,利用图形软件tecplot-9对稳定性收敛检验(SCT)的结果进行了讨论,并以表格形式将我们的结果与前人的结果进行了比较。本文研究了具有辐射和化学反应的非定常MHD自由对流麦克斯韦纳米流体在指数加速垂直表面上的流动。为了得到数值解,将控制偏微分方程用一般的数学变换变换成无量纲偏微分方程。采用显式有限差分法(EFDM)进行数值求解,其中以ForTran编程语言为主要研究工具。稳定性分析技术(SAT)用于选择合适的参数值。然后,得到的数值结果受到这些无量纲参数的影响,如磁性参数(M)、麦克斯韦参数(Mx)、施密特数(Sc)、格拉什夫数(Gr)、刘易斯数(Le)等。速度、温度和浓度随表面摩擦系数(Cf)、努塞尔数(Nu)和舍伍德麻值(Sherwood numb)的变化而变化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
MHD free convection Maxwell nanofluid flow through an exponentially accelerated vertical surface in the presence of radiation
The unsteady MHD free convection Maxwell nanofluid flow through an exponentially accelerated vertical surface with the presence of radiation and chemical reaction is investigated in this present study. For obtaining numerical solutions, the governing partial differential equations (PDEs) are transformed into dimensionless partial differential equations (PDEs) with the as usual mathematical transformation. Explicit finite difference method (EFDM) is used for numerical solutions where ForTran programing language have been used as the main tool of investigations. The stability analysis technique (SAT) is used for choosing the appropriate values of parameters. Then, the obtained numerical results are affected by this various dimensionless parameters such as magnetic parameter (M), Maxwell parameter (Mx), Schmidt number (Sc), Grashof number (Gr), Lewis number (Le) and so on. The velocity, temperature and concentration profiles along with the skin friction coefficient (Cf), Nusselt number (Nu) and Sherwood number (Sh) are analysed for different perspective. Furthermore, the streamlines and isotherms are discussed for different interesting parameters in this work. Finally, the results are discussed after stability convergence test (SCT) by using graphics software tecplot-9 and comparison of our results with the previous results have been presented in a tabular form.The unsteady MHD free convection Maxwell nanofluid flow through an exponentially accelerated vertical surface with the presence of radiation and chemical reaction is investigated in this present study. For obtaining numerical solutions, the governing partial differential equations (PDEs) are transformed into dimensionless partial differential equations (PDEs) with the as usual mathematical transformation. Explicit finite difference method (EFDM) is used for numerical solutions where ForTran programing language have been used as the main tool of investigations. The stability analysis technique (SAT) is used for choosing the appropriate values of parameters. Then, the obtained numerical results are affected by this various dimensionless parameters such as magnetic parameter (M), Maxwell parameter (Mx), Schmidt number (Sc), Grashof number (Gr), Lewis number (Le) and so on. The velocity, temperature and concentration profiles along with the skin friction coefficient (Cf), Nusselt number (Nu) and Sherwood numb...
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