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Mathematical modeling of fractional derivatives for magnetohydrodynamic fluid flow between two parallel plates by the radial basis function method
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作者 Saman Hosseinzadeh seyed Mahdi Emadi +1 位作者 seyed mostafa mousavi Davood Domairry Ganji 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2022年第4期241-250,共10页
Investigations into the magnetohydrodynamics of viscous fluids have become more important in recent years,owing to their practical significance and numerous applications in astro-physical and geo-physical phenomena.In... Investigations into the magnetohydrodynamics of viscous fluids have become more important in recent years,owing to their practical significance and numerous applications in astro-physical and geo-physical phenomena.In this paper,the radial base function was utilized to answer fractional equation associated with fluid flow passing through two parallel flat plates with a magnetic field.The magnetohydrodynamics coupled stress fluid flows between two parallel plates,with the bottom plate being stationary and the top plate moving at a persistent velocity.We compared the radial basis function approach to the numerical method(fourth-order Range-Kutta)in order to verify its validity.The findings demonstrated that the discrepancy between these two techniques is quite negligible,indicating that this method is very reliable.The impact of the magnetic field parameter and Reynolds number on the velocity distribution perpendicular to the fluid flow direction is illustrated.Eventually,the velocity parameter is compared for diverse conditionsα,Reynolds and position(y),the maximum of which occurs atα=0.4.Also,the maximum velocity values occur inα=0.4 and Re=1000 and the concavity of the graph is less forα=0.8. 展开更多
关键词 Magnetohydrodynamic fluid Fractional equation Radial basis function method Numerical method
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