Transient and non-Darcian effects on natural convection flow in a vertical channel partially filled with porous medium: Analysis with Forchheimer–Brinkman extended Darcy model

2011 ◽  
Vol 54 (5-6) ◽  
pp. 1111-1120 ◽  
Author(s):  
Atul Kumar Singh ◽  
Pratibha Agnihotri ◽  
N.P. Singh ◽  
Ajay Kumar Singh
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Vertical Channel ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Darcy Model

scholarly journals MHD natural convection flow of Casson fluid in an annular microchannel containing porous medium with heat generation/absorption

2020 ◽  
Vol 9 (1) ◽  
pp. 223-232 ◽  
Author(s):  
B.J. Gireesha ◽  
S. Sindhu
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Skin Friction ◽  
Interaction Parameter ◽  
Heat Generation ◽  
Velocity Slip ◽  
Casson Fluid ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Wall Interaction

AbstractThis study has been conducted to focus on natural convection flow of Casson fluid through an annular microchannel formed by two cylinders in the presence of magnetic field. The process of heat generation/absorption is taken into consideration. Combined effects of various parameters such as porous medium, velocity slip and temperature jump are considered. Solution of the present mathematical model is obtained numerically using fourth-fifth order Runge-Kutta-Fehlberg method. The flow velocity, thermal field, skin friction and Nusselt number are scrutinized with respect to the involved parameters of interest such as fluid wall interaction parameter, rarefaction parameter, Casson parameter and Darcy number with the aid of graphs. It is established that higher values of Casson parameter increases the skin friction coefficient. Further it is obtained that rate of heat transfer diminishes as fluid wall interaction parameter increases.

scholarly journals Detailed flow development and indicators of transition in a natural convection flow in a vertical channel

2019 ◽  
Vol 143 ◽  
pp. 118502 ◽  
Author(s):  
Martin Thebault ◽  
Stéphanie Giroux-Julien ◽  
Victoria Timchenko ◽  
Christophe Ménézo ◽  
John Reizes
Keyword(s):  
Natural Convection ◽  
Vertical Channel ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Flow Development
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