Heat transfer characteristics in non‐Newtonian fluid flow due to a naturally permeable curved surface and chemical reaction

IF 1.7 4区 工程技术 Q3 THERMODYNAMICS
A. Olkha, Mukesh Kumar
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Abstract

In this research endeavor, Casson fluid flow and melting heat transfer due to a curved nonlinearly stretching sheet are investigated. The sheet is naturally permeable and the flow is considered in a porous medium. For flow in a porous medium, a modified Darcy's resistance term for Casson fluid is considered in the momentum equation. In the energy equation, heat transport characteristics, including viscous dissipation, are taken into account. Mass transport is also studied together with the impact of chemical reaction of higher order. The governing nonlinear partial differential equations of flow, heat, and mass transport are reduced to nondimensional ordinary differential equations using adequate similarity transformations and then solved numerically employing the bvp4c technique and Runge–Kutta fourth‐order method on MATLAB. The impacts of numerous occurring parameters on relevant fields (velocity field, temperature field, and concentration field) are depicted and discussed by plotting graphs. We concluded the curvature parameter, reduces the pace of the flow. The impacts of the stretching index, and melting parameter, are also found to reduce flow and temperature field. Furthermore, we noted that the reaction parameter, and its order, exhibit opposite impacts on the concentration field. Moreover, the numerical values of skin‐friction coefficient and Nusselt number calculated employing bvp4c and Runge–Kutta fourth‐order technique are expressed in tabular mode, and these are found in an excellent match. For validation of the results, skin‐friction coefficient values were computed using the Runge–Kutta fourth‐order technique and bvp4c solver, compared with the existing results, and a good agreement was found.
非牛顿流体流动中由于自然可渗透曲面和化学反应的传热特性
在本研究中,研究了卡森流体在弯曲非线性拉伸下的流动和熔化换热。薄片是自然可渗透的,流动被认为是在多孔介质中。对于多孔介质的流动,在动量方程中考虑了卡森流体的修正达西阻力项。在能量方程中,考虑了热传递特性,包括粘性耗散。还研究了质量输运以及高阶化学反应的影响。利用适当的相似变换,将控制流体、热量和质量传递的非线性偏微分方程简化为无维常微分方程,然后在MATLAB上采用bvp4c技术和龙格-库塔四阶方法进行数值求解。通过绘制图形,描述和讨论了许多发生参数对相关场(速度场、温度场和浓度场)的影响。我们得出曲率参数,减少了流动的速度。拉伸指数和熔化参数对流动场和温度场也有影响。此外,我们注意到反应参数及其顺序对浓度场的影响相反。此外,采用bvp4c和龙格-库塔四阶技术计算的表面摩擦系数和努塞尔数的数值以表格形式表示,两者具有很好的匹配性。为了验证结果,利用龙格-库塔四阶技术和bvp4c求解器计算了表面摩擦系数值,并与已有结果进行了比较,发现两者吻合较好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Heat Transfer Research
Heat Transfer Research 工程技术-热力学
CiteScore
3.10
自引率
23.50%
发文量
102
审稿时长
13.2 months
期刊介绍: Heat Transfer Research (ISSN1064-2285) presents archived theoretical, applied, and experimental papers selected globally. Selected papers from technical conference proceedings and academic laboratory reports are also published. Papers are selected and reviewed by a group of expert associate editors, guided by a distinguished advisory board, and represent the best of current work in the field. Heat Transfer Research is published under an exclusive license to Begell House, Inc., in full compliance with the International Copyright Convention. Subjects covered in Heat Transfer Research encompass the entire field of heat transfer and relevant areas of fluid dynamics, including conduction, convection and radiation, phase change phenomena including boiling and solidification, heat exchanger design and testing, heat transfer in nuclear reactors, mass transfer, geothermal heat recovery, multi-scale heat transfer, heat and mass transfer in alternative energy systems, and thermophysical properties of materials.
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