Cattaneo–Christov heat and mass flux model and thermal enhancement in three‐dimensional MHD Jeffrey hybrid nanofluid flow over a bi‐directional stretching sheet with convective boundary conditions

Zawar Hussain, Muhammad Ayaz, Saeed Islam
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Abstract

Inspired by the progressive relaxation characteristics of the Jeffrey model and its applied advantages in the rheological modeling of various dynamic fluids, the current study is focused to investigate the heat and mass transfer of magnetohydrodynamic (MHD) Jeffrey hybrid nanofluid flow over bi‐directional stretching sheet with convective boundary conditions. Additionally, the Cattaneo–Christov model of heat and mass flux is employed to take into consideration the time relaxation effects. The energy and concentration equation are taken into account to explore the effects of thermophoresis and Brownian motion. Homotopy analysis method (HAM) is employed for the solution of the current problem. Solution methodology is verified by comparing present results with those already published in open literature. The physical aspects of obtained graphical and numerical results are explained in detail to justify acquired trends. From the investigation, it is inferred that the magnetic and viscoelastic factors have a reducing influence on the flow profile along primary and secondary directions, while the stretching parameter has an increasing behavior on the flow profile in the secondary direction. Furthermore, the Brownian motion, magnetic parameter, and thermophoretic parameter have an escalating behavior on thermal distribution; however, the Brownian motion has a declining consequence on the concentration profile. The larger Biot number heightens the thermal and concentration distributions.
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具有对流边界条件的双向拉伸片上的三维 MHD 杰弗里混合纳米流体流动中的卡塔尼奥-克里斯托夫热通量和质量通量模型及热增强效应
受 Jeffrey 模型的渐进弛豫特性及其在各种动态流体流变建模中的应用优势的启发,本研究重点研究了具有对流边界条件的双向拉伸片上的磁流体(MHD)Jeffrey 混合纳米流体流动的传热和传质问题。此外,还采用了卡塔尼奥-克里斯托夫(Cattaneo-Christov)热量和质量通量模型,以考虑时间弛豫效应。同时还考虑了能量和浓度方程,以探索热泳和布朗运动的影响。在解决当前问题时采用了同调分析方法(HAM)。通过将当前结果与公开文献中已发表的结果进行比较,验证了求解方法。对所获得的图形和数值结果的物理方面进行了详细解释,以证明所获得的趋势。从研究中可以推断出,磁性和粘弹性因素对主方向和次方向的流动剖面的影响减小,而拉伸参数对次方向的流动剖面的影响增大。此外,布朗运动、磁性参数和热泳参数对热分布的影响呈上升趋势,但布朗运动对浓度分布的影响呈下降趋势。Biot 数越大,热分布和浓度分布越明显。
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