Effect of a Point/Line Heat Source on Hydromagnetic Free Convection between Vertical Walls due to Induced Magnetic Field

被引:8
作者
Dwivedi, Naveen [1 ]
Singh, Ashok Kumar [1 ]
机构
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
关键词
Free convection; Point; line heat source; sink; Induced current density; Magnetohydrodynamics; Induced magnetic field; FORCED-CONVECTION; POROUS-MEDIUM; FLOW;
D O I
10.1007/s40010-020-00720-x
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The hydromagnetic natural convective flow of an incompressible electrically conducting and viscous liquid amid non-conducting vertical walls with a constant point heat source/sink under the impact of the induced magnetic field has been studied. A wavelet function is used to formulate the point heat source. The considered problem is described by a group of simultaneous ODEs with significant boundary conditions, and their solutions have been acquired for the induced magnetic field, the velocity field and the temperature field by applying the Laplace technique. The skin friction, induced current density and mass flux have also been discussed. The influences of controlling parameters on the fluid flow are discussed with the tables and graphs. The valuable consequence of this investigation is that an enhancement in the length of point heat source enhances the induced magnetic field, velocity, induced current density and temperature field.
引用
收藏
页码:137 / 145
页数:9
相关论文
共 29 条
[11]  
Hartmann J, 1937, KGL DAN VIDENSK SELS, V15, P6
[12]   Role of induced magnetic field on MHD natural convection flow in vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates [J].
Jha, Basant K. ;
Aina, Babatunde .
ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (03) :2087-2097
[13]   Computational Treatment of MHD Transient Natural Convection Flow in a Vertical Channel Due to Symmetric Heating in Presence of Induced Magnetic Field [J].
Jha, Basant K. ;
Isa, Sabi .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2013, 82 (08)
[14]   MHD FREE AND FORCED-CONVECTION FLOW PAST AN INFINITE VERTICAL PLATE WITH HEAT-SOURCE [J].
JHA, BK .
ASTROPHYSICS AND SPACE SCIENCE, 1991, 183 (02) :169-175
[15]  
Kumar D., 2018, EUR PHYS J PLUS, V133
[16]  
Ostrach S, 1955, 3458 NACA
[17]  
Poots G., 1961, Int. J. Heat Mass transfer, V3, P1, DOI 10.1016/0017-9310(61)90002-3
[18]   Combined influence of viscous dissipation and non-uniform heat source/sink on MHD non-Newtonian fluid flow with Cattaneo-Christov heat flux [J].
Ramandevi, B. ;
Reddy, J. V. Ramana ;
Sugunamma, V. ;
Sandeep, N. .
ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (02) :1009-1018
[19]   Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field [J].
Sarveshanand ;
Singh, A. K. .
SPRINGERPLUS, 2015, 4
[20]   STUDY OF PARTIAL SLIP MECHANISM ON FREE CONVECTION FLOW OF VISCOELASTIC FLUID PAST A NONLINEARLY STRETCHING SURFACE [J].
Seth, G. S. ;
Bhattacharyya, A. ;
Mishra, M. K. .
COMPUTATIONAL THERMAL SCIENCES, 2019, 11 (1-2) :105-117