Heat Transfer of Nanofluid in a Channel with Magnetic Field and Porous Obstacle using the Darcy-Brinkman-Forchheimer Model in the LBM Method

علوم کاربردی و محاسباتی در مکانیک

Article 9, Volume 32, Issue 1 - Serial Number 23, 2021, Pages 153-172   

Document Type: Original Article

DOI: 10.22067/jacsm.2021.56842.0

Authors

Saed Bazkhane¹; Iman Zahmatkesh^{* 2}

¹Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran.

²Department of Mechanical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract

In this study, heat transfer of nanofluid in a channel with an externally–applied magnetic field and a porous obstacle is simulated and discussed. To simulate the flow field inside the obstacle, the Darcy–Brinkman–Forchheimer model is implemented in the LBM method. Thereafter, effects of influencing parameters on the heat transfer rate are analyzed utilizing the experimental design method. The results show that the nanoparticles type has the greatest effect on the heat transfer with the contribution ratio of 62.79%. The second and the third parameters are the obstacle size and the Reynolds number, with the contribution ratios of 20.71% and 7.58%, respectively. The contribution ratios of the Hartmann number and the nanoparticles fraction are estimated about 3%. However, it is found that in this problem, the influences of the porosity, type, and the Darcy number of the obstacle on the mean Nusselt number are almost negligible.

Keywords

Nanofluid; Magnetic field; Porous media; LBM method; Darcy-Brinkman-Forchheimer model; Taguchi method

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