Multiple solutions and stability analysis in MHD non‐Newtonian nanofluid slip flow with convective and passive boundary condition: Heat transfer optimization using RSM‐CCD

IF 2.3 4区 工程技术 Q1 MATHEMATICS, APPLIED
P. Rana, Pramod Kumar Sharma, Sanjay Kumar, Vinit Makkar, B. Mahanthesh
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引用次数: 0

Abstract

This study explores the effect of Williamson nanofluid in the presence of radiation and chemical reaction caused by stretching or shrinking a surface with convective boundary conditions. After implementing two‐component model and Lie group theory, the transformed ODEs are solved using the Runge–Kutta Dormand–Prince (RKDP) shooting approach technique. The dual solutions are predicted for certain range of physical nanofluid parameters, such as Williamson parameter (), stretching/shrinking parameter (), and suction parameter () with different slip and magnetic M parameters. Contour plots are generated for the stable branch of the Nusselt number () for different combinations, providing insights into the heat transfer characteristics. The eigenvalue problem is solved in order to predict flow stability. The optimization of heat transfer in nanoliquid is conducted by RSM‐CCD. The resulting quadratic correlation enables the prediction of the optimal Nusselt number for , , and . This investigation is motivated by various applications including manufacturing processes, thermal management systems, energy conversion devices, and other engineering systems where efficient heat transfer is crucial.
具有对流和被动边界条件的MHD非牛顿纳米流体滑移流的多解和稳定性分析:基于RSM - CCD的传热优化
本研究探讨了Williamson纳米流体在辐射和化学反应下对具有对流边界条件的表面的拉伸或收缩的影响。在实现双分量模型和李群理论的基础上,利用Runge-Kutta Dormand-Prince (RKDP)射击方法对变换后的ode进行求解。在一定范围内的物理纳米流体参数,如Williamson参数()、拉伸/收缩参数()和吸力参数(),在不同的滑移和磁M参数下,预测了对偶解。对不同组合的努塞尔数()的稳定分支生成等高线图,从而深入了解传热特性。通过求解特征值问题来预测流动稳定性。利用RSM - CCD对纳米液体的传热进行了优化。由此得到的二次相关可以预测、、和的最优努塞尔数。这项研究的动机是各种应用,包括制造过程,热管理系统,能量转换装置,和其他工程系统,其中高效的传热是至关重要的。
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来源期刊
CiteScore
3.30
自引率
8.70%
发文量
199
审稿时长
3.0 months
期刊介绍: ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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