TY - GEN
T1 - A Conditionally Stable Scheme for a Transient Flow of a Non-Newtonian Fluid Saturating a Porous Medium
AU - El-Amin, Mohamed
AU - Salama, Amgad
AU - Sun, Shuyu
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/6/2
Y1 - 2012/6/2
N2 - The problem of thermal dispersion effects on unsteady free convection from an isothermal horizontal circular cylinder to a non-Newtonian fluid saturating a porous medium is examined numerically. The Darcy-Brinkman-Forchheimer model is employed to describe the flow field. The thermal diffusivity coefficient has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. The simultaneous development of the momentum and thermal boundary layers are obtained by using finite difference method. The stability conditions are determined for each difference equation. Using an explicit finite difference scheme, solutions at each time-step have been found and then stepped forward in time until reaching steady state solution. Velocity and temperature profiles are shown graphically. It is found that as time approaches infinity, the values of friction factor and heat transfer coefficient approach the steady state values.
AB - The problem of thermal dispersion effects on unsteady free convection from an isothermal horizontal circular cylinder to a non-Newtonian fluid saturating a porous medium is examined numerically. The Darcy-Brinkman-Forchheimer model is employed to describe the flow field. The thermal diffusivity coefficient has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. The simultaneous development of the momentum and thermal boundary layers are obtained by using finite difference method. The stability conditions are determined for each difference equation. Using an explicit finite difference scheme, solutions at each time-step have been found and then stepped forward in time until reaching steady state solution. Velocity and temperature profiles are shown graphically. It is found that as time approaches infinity, the values of friction factor and heat transfer coefficient approach the steady state values.
UR - http://hdl.handle.net/10754/552454
UR - http://linkinghub.elsevier.com/retrieve/pii/S1877050912001913
UR - http://www.scopus.com/inward/record.url?scp=84897001932&partnerID=8YFLogxK
U2 - 10.1016/j.procs.2012.04.070
DO - 10.1016/j.procs.2012.04.070
M3 - Conference contribution
SP - 651
EP - 660
BT - Procedia Computer Science
PB - Elsevier BV
ER -