Kalpana Gajendran, Saleem Salman
Department of Mathematics, Mount Carmel College, Bengaluru 560 051, India.
Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia.
Nanomaterials (Basel). 2022 Sep 23;12(19):3309. doi: 10.3390/nano12193309.
The primary objective of the study is to explore the phenomena of dusty fluid flow through an inclined irregular channel under the impact of the transversely applied magnetic field of fixed strength. The density and viscosity of the working fluid are assumed to vary along with the height of the channel as it behaves as a replica of many real world mechanisms. Hence, a stratified dusty fluid through a channel that tilts to an angle θ is the main objective of the present study. The prescribed flow is mathematically modeled and it is approached numerically under two distinct boundary conditions. The finite difference technique is employed to discretize the system of equations and solved using the Thomas algorithm. The velocity and temperature fields are discussed for different pertinent parameters which influence the flow. The friction factor and heat transfer rate are discussed as it has been a subject of interest in recent decades. The results show that the stratification decay parameter leads to enhancement in the momentum of the fluid flow. The temperature field is found to be higher in the convective boundary than the Navier slip boundary.
本研究的主要目的是探讨在固定强度的横向磁场作用下,含尘流体通过倾斜不规则通道的流动现象。由于工作流体的密度和粘度随通道高度变化,且其行为类似于许多现实世界中的机制,因此,本研究的主要目标是研究含尘分层流体通过倾斜角度为θ的通道的流动。对规定的流动进行了数学建模,并在两种不同的边界条件下进行了数值求解。采用有限差分技术对方程组进行离散化,并使用托马斯算法求解。讨论了影响流动的不同相关参数下的速度场和温度场。摩擦系数和传热率也进行了讨论,因为它们在近几十年来一直是人们关注的课题。结果表明,分层衰减参数导致流体流动动量增强。发现对流边界中的温度场高于Navier滑移边界中的温度场。