Effect of Hall ‎C‎urrent and Wall ‎C‎onductance on Hydromagnetic Natural ‎C‎onvective Flow ‎B‎etween Vertical ‎Walls

الموضوعات : مجله بین المللی ریاضیات صنعتی

D. ‎Kumar‎ ¹ (Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India.)
A. K. Singh‎ ² (Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India.)
Mr. Sarveshanand‎ ³ (Department of Mathematics, K. N. Govt. P. G. College, Gyanpur, Bhadohi- 221304, India.)

تاريخ الإرسال : 04 الأحد , محرم, 1439 تاريخ التأكيد : 04 الأحد , محرم, 1439 تاريخ الإصدار : 10 الجمعة , ذو الحجة, 1438

الکلمات المفتاحية: Hall current, Induced magnetic field, Natural convection, Hydromagnetic, Induced current ‎density,

ملخص المقالة :

This paper has examined the analytical solution of steady fully developed natural convective flow of a viscous incompressible and electrically conducting fluid between vertical channel by taking the Hall current and induced magnetic field into account. We have obtained the non-dimensional simultaneous ordinary differential equations using the suitable non-dimensional variables and parameters in the governing equations of the model. By obtaining the analytical solution of the simultaneous ordinary differential equations, the effects of the Hall current and the Hartmann number on the primary and secondary components of the velocity, induced magnetic field and induced current density are presented by the graphs. The influence of the Hall current is to increase both the primary and secondary components of the velocity and induced magnetic field profiles but decrease the components of induced current density. It is found that the effect of Hartmann number is to decrease both the primary and secondary components of velocity and induced current density but increase the components of the induced magnetic ‎field.‎