Computational analysis of multiphase flow of non-Newtonian fluid through inclined channel: heat transfer analysis with perturbation method

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

Computational Particle Mechanics Pub Date : 2023-03-06 DOI:10.1007/s40571-023-00569-y

Mubbashar Nazeer, Mohammed Z. Alqarni, Farooq Hussain, S. Saleem

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引用次数: 9

Abstract

The present investigation is based on the two-phase flow of a non-Newtonian fluid through a uniform channel with heat transfer. Stress tensor of third-grade fluid is taken into account to treat as non-Newtonian fluid. Two different types of viscous suspensions are formed with the tiny size Hafnium and crystal particles, respectively. Owing to the high magnetic susceptibility of the Hafnium metallic particles magnetic effects are applied, as well. Each magnetohydrodynamics bi-phase flow is caused, due to gravitational force. An asymptotic solution is obtained with the help of the “Regular perturbation method,” for the set nonlinear and coupled differential equations. A detailed parametric study is carried out to analyze the effective contribution of significant parameters and quantities. It is inferred that the strong magnetic effects and dominant viscous dissipation introduce additional thermal energy to the multiphase flow. Moreover, highly viscous multiphase suspensions are suitable in chemical industries to manufacture such paints and emulsions which contain small polymer particles.

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非牛顿流体倾斜通道多相流动的计算分析:用微扰法进行传热分析

本研究是基于非牛顿流体的两相流动通过一个均匀通道的传热。考虑三级流体的应力张量，作为非牛顿流体处理。两种不同类型的粘性悬浮液分别由微小的铪和晶体颗粒形成。由于铪金属粒子的高磁化率，还应用了磁效应。每一磁流体力学双相流都是由重力引起的。利用“正则摄动法”，得到了一类非线性耦合微分方程的渐近解。进行了详细的参数研究，以分析重要参数和数量的有效贡献。推测强磁效应和占优势的粘性耗散为多相流引入了额外的热能。此外，高粘性多相悬浮液适用于化学工业中制造含有小聚合物颗粒的油漆和乳液。

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.