焦耳加热旋转拉伸盘导致纳米流体的孔隙率和传热分析

Uzma Sultana, Muhammad Mushtaq, Idrees Ahmad, Taseer Muhammad
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摘要

研究了纳米流体的磁流体动力(MHD)、强制对流、旋转流动,其诱因是一个非稳定拉伸多孔盘的偏心旋转以及流体在无限远处的旋转。假设流体是不可压缩、粘性和导电的。圆盘和远离圆盘的流体以相同的角速度围绕非重合轴旋转。强迫对流是由于圆盘的均匀温度和远离圆盘的流体的均匀温度之间的温度梯度造成的。焦耳加热和粘性耗散都已考虑在内。还假设了基于铜、氧化铝和二氧化钛的纳米流体。对速度场进行了精确求解。另一方面,采用 Crank-Nicolson 算法对温度曲线进行了数值求解。通过无量纲参数、普朗特数 Pr、埃克特数 Ec、孔隙度参数 S、磁参数[公式:见正文]和非稳态拉伸参数,讨论和解释了研究的几个物理方面。随着纳米粒子体积分数的增加,速度曲线减小,而边界层厚度增加。当非稳态参数 C 的值变大时,速度曲线增强,而温度曲线变弱。流体温度随着吸力参数 S 的增大而降低。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Porosity and heat transfer analysis of nanofluids due to rotating-stretching disk with Joule heating
The magnetohydrodynamic (MHD), forced convective, rotating flow of nanofluid is investigated induced by eccentric rotations of a unsteady stretching porous disk and that of the fluid at infinity. The fluid is assumed to be incompressible, viscous, and electrically conductible. The disk and fluid away from the disk rotate about non-coincident axes at the same angular velocity. The forced convection is due to the temperature gradient between the uniform temperatures of the disk and that of the fluid far away from the disk. Consideration of the Joule heating as well as viscous dissipation have been taken into account. Nanofluids based on copper, alumina, and titania have also been assumed. Exact solution has been carried out for the velocity field. Numerical solution, on the other hand, is obtained using Crank–Nicolson algorithm for the temperature profiles. Several physical aspects of the investigation are discussed and explained by means of dimensionless parameters, Prandtl number Pr, Eckert number Ec, porosity parameter S, magnetic parameter [Formula: see text] and unsteady stretching parameter. With increasing nanoparticle volume fraction, the velocity profile is reduced, while the thickness of the boundary layer upsurges. As the unsteady parameter C gets higher values, the velocity profile enhanced whereas the temperature profile gets weaker. Fluid temperature decreases as suction parameter S raises.
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