Numerical study for the unsteady space fractional magnetohydrodynamic free convective flow and heat transfer with Hall effects. (October 2021)

• Record Type: Journal Article
• Authors: Chi, Xiaoqing; Zhang, Hui
• Is Part Of: Applied mathematics letters. Volume 120(2021)
• Publication Date: 2021-10
• Subjects: Fractional equation -- Numerical simulation -- Magnetohydrodynamics -- Heat transfer -- Hall effect; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107312
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, a numerical research for the problem of unsteady space fractional magnetohydrodynamic (MHD) free convective flow and heat transfer with Hall effects is investigated. We firstly establish a space fractional MHD flow and heat transfer model, which is coupled by the incompressible space fractional Navier–Stokes equations and the heat conduction equation. Then we develop a finite difference spectral decomposition method based on the pressure correction algorithm to solve this nonlinear coupled model. The validity of the proposed numerical scheme is verified and some flow field, temperature field are obtained. We also detailedly analyze the effects of relevant parameters on the space fractional MHD flow and heat transfer.