Adequate viscosity-induced porous boundary layer flow and heat transfer over a permeable wedge

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Journal of Engineering Mathematics Pub Date : 2024-04-03 DOI:10.1007/s10665-024-10348-0

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Abstract

The present study examines the impact of effective viscosity and suction/injection on the two-dimensional boundary layer flow and heat transfer across a wedge immersed in a porous medium. In this study, we analyze the mechanisms associated with porous media and the fluid, focusing specifically on the viscosity ratio(effective viscosity to the dynamic viscosity) effects. The movement or progression of the fluid outside the boundary layer is acquired in the form of a concept of fluid distance. The governing nonlinear ordinary differential equations are derived from the boundary layer equations with suitable similarity transformations. Two approaches are utilized in this study: comprehensive numerical simulations that solve the nonlinear fully coupled fluid-wedge interaction issue and asymptotic approaches that solve the linearized equation-acquired at a significant distance away from the wedge and a small Prandtl number. A high level of concordance exists between the two methodologies in their predictive capabilities. The velocity and temperature distributions for different favorable pressure gradient and suction parameters are to reduce both momentum and thermal boundary layer thickness, while an opposite scenario is noticed for injection parameters. These results are shown to be a continuation of classical Falkner-Skan flows. The viscosity ratio plays a role in reducing the thickness of the boundary layer, leading to the fluid exhibiting adhesion to the surface of the wedge. Moreover, the effect of permeability-the presence of a porous medium, reduces the thickness of the boundary layer. A comprehensive examination of the outcomes and their associated hydrodynamics concerning the physical parameters is conducted and made in some detail.

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透水楔上充分的粘性多孔边界层流动和传热

摘要本研究探讨了有效粘度和吸入/注入对浸入多孔介质的楔形体上的二维边界层流动和传热的影响。在这项研究中，我们分析了与多孔介质和流体相关的机制，特别侧重于粘度比（有效粘度与动态粘度之比）的影响。流体在边界层外的运动或进展是以流体距离概念的形式获得的。通过适当的相似性变换，从边界层方程推导出支配性非线性常微分方程。本研究采用了两种方法：解决非线性完全耦合流体-楔相互作用问题的综合数值模拟，以及解决线性化方程的渐近方法--在距离楔子很远且普朗特数很小的情况下获得。两种方法的预测能力高度一致。对于不同的有利压力梯度和吸力参数，速度和温度分布会减少动量和热边界层厚度，而对于喷射参数，则会出现相反的情况。这些结果表明是经典 Falkner-Skan 流动的延续。粘度比在减少边界层厚度方面发挥了作用，导致流体表现出对楔形表面的粘附。此外，渗透性--多孔介质的存在--的影响也降低了边界层的厚度。我们对有关物理参数的结果及其相关流体力学进行了全面检查，并做了一些详细说明。

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

Journal of Engineering Mathematics 工程技术-工程：综合

CiteScore

2.10

自引率

7.70%

发文量

审稿时长

6 months

期刊介绍： The aim of this journal is to promote the application of mathematics to problems from engineering and the applied sciences. It also aims to emphasize the intrinsic unity, through mathematics, of the fundamental problems of applied and engineering science. The scope of the journal includes the following: • Mathematics: Ordinary and partial differential equations, Integral equations, Asymptotics, Variational and functional−analytic methods, Numerical analysis, Computational methods. • Applied Fields: Continuum mechanics, Stability theory, Wave propagation, Diffusion, Heat and mass transfer, Free−boundary problems; Fluid mechanics: Aero− and hydrodynamics, Boundary layers, Shock waves, Fluid machinery, Fluid−structure interactions, Convection, Combustion, Acoustics, Multi−phase flows, Transition and turbulence, Creeping flow, Rheology, Porous−media flows, Ocean engineering, Atmospheric engineering, Non-Newtonian flows, Ship hydrodynamics; Solid mechanics: Elasticity, Classical mechanics, Nonlinear mechanics, Vibrations, Plates and shells, Fracture mechanics; Biomedical engineering, Geophysical engineering, Reaction−diffusion problems; and related areas. The Journal also publishes occasional invited ''Perspectives'' articles by distinguished researchers reviewing and bringing their authoritative overview to recent developments in topics of current interest in their area of expertise. Authors wishing to suggest topics for such articles should contact the Editors-in-Chief directly. Prospective authors are encouraged to consult recent issues of the journal in order to judge whether or not their manuscript is consistent with the style and content of published papers.