Diffusion of dual diffusive chemically reactive Casson nanofluid under Darcy–Forchheimer porosity and Robin conditions from a vertical convective surface: a comparative analysis using HAM and collocation procedures

IF 2.8 3区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Particle Mechanics Pub Date : 2023-02-18 DOI:10.1007/s40571-022-00547-w

Muhammad Nasir, Muhammad Waqas, Nurnadiah Zamri, Nidhal Ben Khedher, Kamel Guedri

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引用次数: 7

Abstract

This investigation reports Casson liquid stretching flow persuaded by convectively heated permeable surface. Porous medium effects under Darcy–Forchheimer relation are scrutinized. Nonlinear version of thermo-solutal buoyant forces (i.e., nonlinear mixed convection) is introduced. Nanoliquid model features thermophoresis and Brownian diffusions. Characteristics of heat transfer are elaborated considering heat absorption, thermal radiation, Robin conditions and heat generation. Mass transfer effects are addressed considering chemical reaction. Similarity approach assists to simplify governing expressions (partial differential equations) into the ordinary ones, and these ordinary differential expressions are tackled analytically (via homotopy analysis scheme) and numerically (via bvp4c scheme). The obtained results via homotopy and bvp4c methods are also validated. Besides, the consequence of multiple emerging parameters on dimensionless profiles is investigated via graphs and tables. It is scrutinized that velocity is strongly enhanced with increasing nonlinear mixed convection parameter while it diminishes with increasing Casson fluid parameter, inertia coefficient parameter and porosity parameter.

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达西-福克海默孔隙率和罗宾条件下双重扩散化学反应卡松纳米流体从垂直对流表面的扩散：使用 HAM 和配位程序的比较分析

本研究报告了对流加热的渗透表面所产生的卡松液体拉伸流动。仔细研究了达西-福克海默关系下的多孔介质效应。引入了热固浮力的非线性版本（即非线性混合对流）。纳米液体模型具有热泳和布朗扩散的特点。考虑到吸热、热辐射、罗宾条件和发热，详细阐述了传热的特点。考虑到化学反应，对传质效应进行了阐述。相似性方法有助于将支配表达式（偏微分方程）简化为常微分方程，这些常微分表达式通过同调分析方案进行分析处理，并通过 bvp4c 方案进行数值处理。通过同调分析和 bvp4c 方法获得的结果也得到了验证。此外，还通过图表研究了多个新出现的参数对无量纲剖面的影响。研究发现，速度随非线性混合对流参数的增加而增强，而随卡松流体参数、惯性系数参数和孔隙度参数的增加而减弱。

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

Computational Particle Mechanics Mathematics-Computational Mathematics

CiteScore

5.70

自引率

9.10%

发文量

期刊介绍： GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate ﬂows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.