Heat and mass transfer on MHD squeezing flow through the porous media using the Bernoulli wavelet method

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Pramana Pub Date : 2024-05-14 DOI:10.1007/s12043-024-02736-z
K R Raghunatha, Y Vinod, Suma Nagendrappa Nagappanavar,  Sangamesh
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引用次数: 0

Abstract

The squeezing of an incompressible magnetohydrodynamic (MHD) fluid between two parallel plates is a primary type of flow that is commonly observed in several hydrodynamical tools and machines. Compression and injection molding, polymer processing and modelling of lubrication systems are several practical examples of squeezing flows. The aim of the present work is to compute the heat and mass transfer on MHD squeezing flow of a viscous fluid through a porous medium using Bernoulli wavelet numerical method. Mathematically simulating the flow results in a highly nonlinear coupled ordinary differential equation (ODE) by combining conservation laws and similarity transformations. Our outcome illustrates that the Bernoulli wavelet method is immensely capable and accessible for finding solutions to this type of coupled nonlinear ODEs. The results are in very good agreement for coupled nonlinear ODEs in engineering applications. The plots clarify and thoroughly illustrate the flow behaviour when the physical factors are involved. The normalisation of the flow behaviour by the magnetic field show that it may be utilised to control various flows. Moreover, the squeeze number affects the velocity, temperature and concentration profiles, which is a crucial factor in these kinds of issues.

Abstract Image

使用伯努利小波法研究多孔介质中的 MHD 挤压流的传热和传质问题
不可压缩的磁流体(MHD)在两块平行板之间的挤压是几种流体力学工具和机器中常见的主要流动类型。压缩和注塑成型、聚合物加工和润滑系统建模是挤压流的几个实际例子。本研究的目的是利用伯努利小波数值方法计算粘性流体通过多孔介质的 MHD 挤压流的传热和传质。通过结合守恒定律和相似变换,对流动进行数学模拟,得出高度非线性耦合常微分方程(ODE)。我们的研究结果表明,伯努利小波方法在寻找这类耦合非线性常微分方程的解方面具有极大的能力和可及性。这些结果与工程应用中的耦合非线性 ODEs 非常吻合。当涉及物理因素时,曲线图清晰、透彻地说明了流动行为。磁场对流动行为的规范化表明,磁场可用于控制各种流动。此外,挤压数会影响速度、温度和浓度曲线,这在此类问题中是一个关键因素。
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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
期刊介绍: Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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