A numerical scheme for Darcy-Forchheimer flow of non-Newtonian nanofluid under the effects of convective and zero mass flux boundary conditions

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci221230076a

M. Arif, W. Shatanawi, Y. Nawaz

引用次数: 0

Abstract

This research aims to propose a numerical scheme for solving boundary value problems. It is a two-stage, third-order accurate scheme known as a predictor-corrector scheme. The two main results are finding the region of the scheme where it is stable and determining the stability criterion for a set of linearized first-order differential equations. In addition, a mathematical model for heat and mass transfer of Darcy-Forchheimer flow of non-Newtonian nanofluid over the sheet is presented. The similarity transformations reduce partial differential equations (PDEs) into a system of ordinary differential equations (ODEs) for easier manipulation. The results are compared with the past research and those obtained by Matlab solver bvp4c. The results show that the velocity profile slightly decays by enhancing the Weisenberg number.

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非牛顿纳米流体在对流和零质量通量边界条件下Darcy-Forchheimer流动的数值格式

本研究旨在提出一种求解边值问题的数值格式。它是一个两阶段的三阶精确方案，称为预测校正方案。两个主要的结果是找到格式的稳定区域和确定一组线性化的一阶微分方程的稳定性判据。此外，还建立了非牛顿纳米流体在薄片上达西-福希海默流动的传热传质数学模型。相似变换将偏微分方程简化为常微分方程系统，以方便操作。结果与以往的研究结果以及Matlab求解器bvp4c的结果进行了比较。结果表明，通过增大Weisenberg数，速度剖面有轻微的衰减。

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

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.