Open AccessRole of Induced Magnetic Field on Transient Natural Convection Flow in a Vertical Channel: The Riemann Sum Approximation Approach
Author(s) -
Basant K. Jha,
I. Sani
Publication year - 2015
Publication title -
international journal of applied mechanics and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.189
H-Index - 8
eISSN - 2353-9003
pISSN - 1734-4492
DOI - 10.1515/ijame-2015-0005
Subject(s) - mechanics , transient (computer programming) , laplace transform , compressibility , magnetic field , momentum (technical analysis) , physics , natural convection , flow (mathematics) , classical mechanics , mathematical analysis , convection , mathematics , computer science , finance , quantum mechanics , economics , operating system
This paper investigates the role of induced magnetic field on a transient natural convection flow of an electrically conducting, incompressible and viscous fluid in a vertical channel formed by two infinite vertical parallel plates. The transient flow formation inside the channel is due to sudden asymmetric heating of channel walls. The time dependent momentum, energy and magnetic induction equations are solved semi-analytically using the Laplace transform technique along with the Riemann-sum approximation method. The solutions obtained are validated by comparisons with the closed form solutions obtained for the steady states which have been derived separately and also by the implicit finite difference method. Graphical results for the temperature, velocity, induced magnetic field, current density, and skin-friction based on the semi-analytical solutions are presented and discussed.