The finite element method for the space fractional magnetohydrodynamic flow and heat transfer on an irregular domain
Authors: Liu Yi , Jiang Xiaoyun , Liu Fawang 
Published: November 2023

We consider the magnetohydrodynamic flow and heat transfer of a classical Newtonian fluid in a straight channel with fixed irregular cross section. A spatial fractional operator is introduced to modify the classical Fourier's law of thermal conduction, and we obtain the space fractional coupled model. With the help of the finite element method, the coupled model is solved numerically. Finally, a special numerical example is proposed to verify the stability and efficiency of the presented method.
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