Open AccessMHD mixed convection flow in a vertical lid-driven square enclosure including a heat conducting horizontal circular cylinder with Joule heating
Author(s) -
R. Saidur,
Md. Abdul Alim
Publication year - 2010
Publication title -
nonlinear analysis modelling and control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.734
H-Index - 32
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/na.2010.15.2.14354
Subject(s) - nusselt number , hartmann number , streamlines, streaklines, and pathlines , richardson number , joule heating , enclosure , mechanics , reynolds number , heat transfer , combined forced and natural convection , thermodynamics , natural convection , physics , materials science , buoyancy , turbulence , telecommunications , quantum mechanics , computer science
. In the present numerical investigation we studied the effec t of magnetohydrodynamic (MHD) mixed convection flow in a vertic al lid-driven square enclosure including a heat conducting horizontal circular cylinder with Joule heating. The governing equations along with appropriate boundary co nditi ns for the present problem are first transformed into a non-dimensional form an d the resulting non linear system of partial differential equations are then solved nu merically using Galerkin’s finite element method. Parametric studies of the fluid flow and heat t ransfer in the enclosure are performed for magnetic parameter (Hartmann number) Ha, Joule heating parameter J , Reynolds number Re and Richardson number Ri. The streamlines, isotherms, average Nusselt number at the hot wall and average temperature of the fluid in the enclosure are presented for the parameters. The numerical results indica te that the Hartmann number, Reynolds number and Richardson number have strong influence on the streamlines and isotherms. On the other hand, Joule heating parameter has li ttle effect on the streamline and isotherm plots. Finally, the mentioned parameters have significant effect on average Nusselt number at the hot wall and average temperature of the fluid in the enclosure.