Polymer presence in boundary layer flow and heat transfer of dusty fluid over a stretching surface

IF 1.7 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Multidiscipline Modeling in Materials and Structures Pub Date : 2023-05-12 DOI:10.1108/mmms-09-2022-0167
M. Athar, Adeel Ahmad, Yasir Khan
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Abstract

PurposeTo explore the fusion of dust particles and of polymers in a viscous liquid is the main purpose of this article. Newtonian fluid as a base fluid is considered and the mutual presence of polymers and dusty bodies is investigated. It discusses the steady laminar flow and heat transportation of a polymeric dusty liquid induced by a uniformly heated, penetrable and stretchable surface inside the boundary layer.Design/methodology/approachThe mathematical system incorporates separate equations of energy and momentum for dusty bodies and for fluid. The classical Oldroyd-B model is chosen for exploring polymer presence. For the fluid phase, this model adds another stress to the conservation law of momentum. Appropriate similarity variables are introduced to transform the system of partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The problem is solved by introducing a numerical iterative procedure which turned out to be fastly converging.FindingsExpeditious changes inside the boundary layer cause polymers to deform. No changes outside the boundary layer are noticed on account of polymer stretching. The dependence of heat transfer rate and skin friction on the parameter of polymer concentration and Weissenberg number is analyzed and displayed graphically against interaction parameters for temperature and velocity, dust particles’ mass concentration, Eckert and Prandtl numbers. Combining effects of polymers and dust particles cause skin friction to decrease and heat transfer rate to increase. Increasing values of interaction parameter for velocity, dust particles’ mass concentration and Eckert number reduces the drag coefficient and local Nusselt number. On the other hand, the Prandtl number and interaction parameter of temperature magnify the heat flux at the wall.Research limitations/implicationsThis article studies the infinite extensibility of polymers. FENE and FENE-P models can be used to investigate the polymer presence in dusty fluids in the future.Originality/valueIn this article, the authors’ aim is to study the combined presence of polymers and dusty bodies. Keeping the existing literature in view, this type of fusion is not studied yet. Polymer inclusion in a viscous dusty fluid is studied and the behavior of fluid flow and heat transportation is investigated within the boundary layer over a permeable linearly stretching sheet.
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聚合物的存在在边界层流动和热传递的灰尘流体在拉伸表面
目的探索粘性液体中尘埃粒子与聚合物的融合是本文的主要目的。考虑了牛顿流体作为基础流体,研究了聚合物与尘埃体的相互存在。讨论了由边界层内均匀加热、可穿透和可拉伸的表面引起的聚合物含尘液体的稳定层流和热传输。设计/方法论/方法数学系统包含了尘埃物体和流体的能量和动量的单独方程。选择经典的Oldroyd-B模型来探索聚合物的存在。对于流体相,该模型为动量守恒定律增加了另一个应力。引入适当的相似变量将偏微分方程组转化为非线性常微分方程组。该问题是通过引入一个数值迭代程序来解决的,该程序被证明是快速收敛的。发现边界层内部的快速变化会导致聚合物变形。由于聚合物拉伸,没有注意到边界层之外的变化。分析了传热率和表面摩擦对聚合物浓度和Weissenberg数参数的依赖性,并将其与温度和速度、尘粒质量浓度、Eckert和Prandtl数的相互作用参数进行了图形显示。聚合物和灰尘颗粒的共同作用导致皮肤摩擦减少,传热速率增加。增加速度、尘粒质量浓度和埃克特数的相互作用参数值会降低阻力系数和局部努塞尔数。另一方面,温度的普朗特数和相互作用参数放大了壁面的热通量。研究局限性/含义本文研究聚合物的无限延展性。FENE和FENE-P模型可用于研究未来含尘流体中聚合物的存在。原创性/价值在这篇文章中,作者的目的是研究聚合物和多尘物体的共同存在。从现有文献的角度来看,这种类型的融合尚未得到研究。研究了粘性含尘流体中的聚合物包裹体,并研究了可渗透线性拉伸薄板边界层内的流体流动和热传输行为。
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
CiteScore
3.70
自引率
5.00%
发文量
60
期刊介绍: Multidiscipline Modeling in Materials and Structures is published by Emerald Group Publishing Limited from 2010
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