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A comprehensive numerical study is presented for the hydromagnetic flow and heat transfer of Casson fluid in an enclosed partially heated triangular cavity. A cylindrical obstacle is placed with different thermal boundary conditions inside the cavity. The governing partial differential equations are converted to a non-dimensional form via suitable similarity variables. Well-known finite element method (FEM) is employed to solve the governing equations and investigate the impact of various physical parameters like the length of the heating element, Casson and radiation parameters, and the Hartmann number on the streamlines, isotherms, and local Nusselt numbers. Simulations are performed for the three selected (cold, adiabatic, and heated) conditions of an inner cylindrical obstacle. It is demonstrated that the maximum Nusselt number ensues near the edges of the heating element and the Casson parameter tends to reduce the Nusselt number. It is also found that the length of the heating element has substantial effects on the heat transfer in the cavity. The new results of this study may help to study the thermal control and non-Newtonian fluids inside closed enclosures. [ABSTRACT FROM AUTHOR]

A numerical analysis is carried out to study the performance of natural convection inside a square open tilted cavity filled with air. An adiabatic circular solid cylinder is placed at the center of the cavity and the sidewall in front of the breathing space is heated by a constant heat flux. The top and bottom walls are kept at the ambient constant temperature. Two-dimensional forms of Navier-Stokes equations along with the energy equations are solved using the Galerkin finite element method. Results are obtained for a range of Grashof numbers from 103 to 106 at Pr = 0.71 while the tilt angle varies from 0 to 45° and the diameter ratio of the cylinder is considered to be 0.2, 0.3, and 0.4 with constant physical properties. The parametric studies for a wide range of cylinder diameter ratios and cavity tilt angles show significant features of the present problem in terms of stream functions and temperature profiles. The computational results indicate that the heat transfer coefficient is strongly influenced by the above governing parameters. It is also found that the average Nusselt number decreases when the diameter ratio increases. © 2012 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library (). DOI 10.1002/htj.21001 [ABSTRACT FROM AUTHOR]