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Thermophysics and Aeromechanics

2015 year, number 2

Combined effects of suction/injection and wall surface curvature on natural convection flow in a vertical micro-porous annulus

B.K. Jha, B. Aina, and S.A. Muhammad
Ahmadu Bello University, Zaria, Nigeria
E-mail: ainavicdydx@gmail.com, basant777@yahoo.co.uk, shehukurami@yahoo.com
Keywords: natural convection, micro-porous-annulus (MPA), suction/injection, velocity slip and temperature jump
Pages: 217–228

Abstract

This study investigates analytically the hydrodynamic and thermal behaviour of a fully developed natural convection flow in a vertical micro-porous-annulus (MPA) taking into account the velocity slip and temperature jump at the outer surface of inner porous cylinder and inner surface of outer porous cylinder. A closed – form solution is presented for velocity, temperature, volume flow rate, skin friction and rate of heat transfer expressed as a Nusselt number. The influence of each governing parameter on hydrodynamic and thermal behaviour is discussed with the aid of graphs. During the course of investigation, it is found that as suction/injection on the cylinder walls increases, the fluid velocity and temperature is enhanced. In addition, it is observed that wall surface curvature has a significant effect on flow and thermal characteristics.

DOI: http://dx.doi.org/10.1134/S0869864315020080