Role of magnetic field on mixed convective flow between two concentric microtubes with heat generation/absorption: An exact solution

Abstract

This study examines the role of magnetic field on fully developed mixed convection flow of heat generating/absorbing fluid in a vertical micro-concentric annulus with velocity slip and temperature jump at the surfaces of the cylinders. Exact solution of momentum and energy equations are obtained separately in terms of Bessel's function and modified Bessel's function of first and second kind. The solutions obtained are graphically represented and the effects of pertinent parameters on flow formation and skin-friction are investigated in details. Results show that the role of magnetic field is to decrease fluid velocity as well as skin-friction at the outer surface of inner cylinder. In addition, reverse flow formation can be controlled by increasing magnetic field strength.

Influence of relative motion of magnetic field on time‐dependent MHD natural convection flow

“…It is found that the magnitude of maximum fluid velocity is greater in the case of isothermal heating compared with the constant heat flux case when the gap between the cylinders is less or equal to radius of the inner cylinder. Moreover, the various values of the nondimensional heat absorption parameter ( A ) and the corresponding values of annular gap are almost the same; other interesting investigations on MHD flow in an annulus under different physical and thermal conditions has been carried out by authors 16–26 …”

“…Moreover, the various values of the nondimensional heat absorption parameter (A) and the corresponding values of annular gap are almost the same; other interesting investigations on MHD flow in an annulus under different physical and thermal conditions has been carried out by authors. [16][17][18][19][20][21][22][23][24][25][26] To the best of the authors' knowledge, no study has been reported concerning the combined effect of temperature-dependent heat generating/absorbing parameter, MHD, and ramped-like motion of the inner cylinder. The condition involving ramped-like cylindrical motion appears in aerodynamics and oil refinement industry.…”

Nonlinear Boussinesq buoyancy driven flow and radiative heat transport of magnetohybrid nanoliquid in an annulus: A statistical framework

“…The significance of the magnetic field on the mixed convective flow of heat generating/absorbing fluid in an annular microchannel by considering velocity slip and temperature jump conditions was examined by Jha and Oni. 13 Their results showed that the skin friction coefficient and fluid velocity have a decreasing tendency with an increase in Hartmann number. Oni 14 studied the effects of thermal radiation and heat source on mixed convective flow over a vertical annulus and this study concludes that the temperature of the fluid enhances in the presence of heat source and radiation aspects.…”

“…Shakiba and Rahimi 12 studied the MHD mixed convective flow of nanofluid along with Brownian motion in a vertical annulus. The significance of the magnetic field on the mixed convective flow of heat generating/absorbing fluid in an annular microchannel by considering velocity slip and temperature jump conditions was examined by Jha and Oni 13 . Their results showed that the skin friction coefficient and fluid velocity have a decreasing tendency with an increase in Hartmann number.…”

Hall and ion slip effects on MHD laminar flow of an elastico‐viscous (Walter's‐B) fluid

“…Veera Krishna and Chamkha 44 discussed the radiation‐absorption, diffusion‐thermo, and Hall and ion‐slip effects on MHD free convective rotating flow of nanofluids over a moving permeable plate with a constant heat source. Jha and Oni 45 examined the role of a magnetic field on fully developed mixed convection flow of heat generating/absorbing fluid in a vertical micro‐concentric annulus with velocity slip and temperature jump at the surfaces of the cylinders. Jha and Oni 46 investigated theoretically the impact of a transverse and radial mode of application of magnetic field on the rate of heat transfer of rarefied gas in a micro tube.…”