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Rheology of suspended hybrid nanoparticles in micro-rotating tangent hyperbolic fluid over a stretching surface

微旋转切向双曲混合流体中悬浮混合纳米粒子的流变学

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Abstract

This communication numerically studies the micro-rotation effects of tangent hyperbolic hybrid nanofluid past a porous sheet. The fluid motion is developed by virtue of linear stretching sheet. This study further incorporates multiple flow and thermal phenomena such as porous media, inclined magnetohydrodynamic (MHD) fluid, Joule heating along with velocity and thermal slip factors. Mathematical formulation prompts a set of non-linear coupled partial differential equations. To achieve a similar solution, similarity variables are introduced. Numerical solution of leading differential equations is attained via Runge-Kutta-Fehlberg 45 (RKF-45) along with shooting technique. Graphical outcomes are obtained to present the physical significance of the relevant parameters. In order to validate the numerical results, comparison is made with the data already published. It is assumed that the fluid velocity reduces with increasing Weissenberg number and permeability parameter. In addition, the angular velocity of the fluid accelerates significantly with an increase in surface condition parameter. It has been established that higher volume percentage of silver and copper nanoparticles has potential to improve the thermal conductivity of the flowing fluid. Hybrid nanofluid plays a significant role in various engineering applications, including nuclear cooling, desalination, machining, refrigeration, heat exchangers, solar collectors, and engine cooling. Furthermore, mixing hybrid nanofluid in the micro-rotating tangent hyperbolic fluid enhances the thermal abilities of the system, that is applied in many mechanical systems that rely on heat transfer. Skin friction coefficient effectively decreases with increasing Weissenberg number while increases for huge velocity slip parameter.

摘要

流体运动通过线性拉伸片而实现。本研究结合多种流动和热现象, 如多孔介质、倾斜磁流体、焦耳热以及速度和热滑移因子, 用数值方法研究了切向双曲混合纳米流体通过多孔薄片的微旋转效应。得到的数学公式是一组非线性耦合偏微分方程。为了得到近似解, 引入了相似性变量。利用Runge-Kutta-Fehlberg 45 (RKF-45)和射门技术, 得到主导微分方程的数值解。用图示法表示相关参数的物理意义。为了验证数值结果, 与已经发表的数据进行比较。假设流体的流速随Weissenberg 数和渗透率的增加而减小, 流体的角速度随表面条件参数的增加而明显著加快。表面摩擦因数随Weissenberg数的增加而有效减小, 随大的速度滑移参数的增大而增大。结果证实, 较高的银和铜纳米颗粒体积分数具有提高流动流体导热率的潜力。混合纳米流体可广泛应用在工程中, 比如核冷却、海水淡化、机加工、制冷、热交换器、太阳能集热器和发动机冷却等。此外, 在微旋转切向双曲流体中混入纳米流体可提高系统的热能力, 可将其应用于依赖热传递的机械系统。

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  1. Department of Civil Engineering, National University of Sciences and Technology, Balochistan Campus Quetta, Quetta, 86000, Pakistan

    M. N. Abrar & Salah Uddin

  2. National University of Sciences and Technology, Islamabad, 44000, Pakistan

    Kamran Akhtar

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M. N. ABRAR provided the concept and problem formulation of the manuscript. Salah UDDIN conducted the literature review and converted the whole manuscript from latex to word document. Kamran AKHTAR edited the draft of the manuscript and further improved the language of the manuscript.

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M. N. ABRAR, Salah UDDIN and Kamran AKHTAR declare that they have no conflict of interest.

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Abrar, M.N., Uddin, S. & Akhtar, K. Rheology of suspended hybrid nanoparticles in micro-rotating tangent hyperbolic fluid over a stretching surface. J. Cent. South Univ. 30, 1231–1245 (2023). https://doi.org/10.1007/s11771-023-5306-8

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