三重扩散流体流动模型中的物理参数特性

Q2 Mathematics CFD Letters Pub Date : 2024-07-05 DOI:10.37934/cfdl.16.11.133145
Siti Suzilliana Putri Mohamed Isa, Nanthini Balakrishnan, Kartini Ahmad, Norihan Md. Arifin, Fadzilah Md Ali
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引用次数: 0

摘要

流体混合物中存在不止一种扩散成分的情况有:地下水流、酸雨机制、某些混合物中存在污染物等。这些扩散成分的出现与单一温度梯度(因为所有元素都溶解在同一种混合物中)和两种浓度梯度(因为双重扩散成分溶解在同一种混合物中)有关。此外,许多工业和工程过程都采用了对流流体流动的概念,尤其是在收缩的薄片上。因此,本文建立了非线性压缩片上的三重扩散流数学模型,并对其进行了 Soret-Dufour 效应分析。该模型包括五个初始方程,即连续性方程、动量方程、能量方程、成分 1 浓度方程和成分 2 浓度方程,以及边界条件。这些初始方程用偏微分方程表示。不过,最终确定的方程采用常微分方程的形式。之后,我们使用 Matlab 软件提供的 bvp4c 程序来求解常微分方程和边界条件。在 bvp4c 函数中固定了每个控制参数的三个不同值,以观察物理参数的行为,即局部努塞尔特数和局部舍伍德数。二元数值解的主要结果随着调节参数的增加而变化,直到它们在临界点相交。总之,调节参数会影响流体流动模型的传热和传质。
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The Properties of the Physical Parameters in the Triple Diffusive Fluid Flow Model
The existence of more than one diffusive component in fluid mixtures is observed in these situations: underground water flow, the mechanism of acid rain, the existence of contaminant in some certain mixture, etc. These diffusive components are occurred with the single temperature gradient (since all of the elements are dissolved into the same mixture) and 2 types of concentration gradients (since the dual diffusive components are dissolved in the same mixture). Besides, many industrial and engineering processes are utilizing the concept of convective fluid flow especially over a shrinking sheet. Therefore, a mathematical model for triple-diffusive flow over a nonlinear compressing sheet has been developed in this paper, and subjected to the Soret-Dufour effects. The model comprises of five initial equations namely continuity, momentum, energy, concentration of component 1 and concentration of component 2 equations, together with boundary conditions. These initial equations are expressed as partial differential equations. However, the finalized equations are in the form of ordinary differential equations. Later, the bvp4c programme provided by the Matlab Software is used to solve the ordinary differential equations and the boundary conditions. Three distinct values of each governing parameter are fixed into the bvp4c function, to observe the behaviour of the physical parameters, namely as local Nusselt number and local Sherwood number. The main finding of the dual numerical solutions varies for increasing governing parameters until they intersect at the critical points. In conclusion, the governing parameters affects the heat and mass transfer of the fluid flow model model.
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来源期刊
CFD Letters
CFD Letters Chemical Engineering-Fluid Flow and Transfer Processes
CiteScore
3.40
自引率
0.00%
发文量
76
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