Finite element analysis of natural convection in a triangular enclosure: Effects of various thermal boundary conditions

Free convection in a triangular enclosure with fluid-saturated porous medium and internal heat generation

“…Saha and Khan [11] extensively reviewed natural convection in triangular enclosures. Basak et al [9] investigated natural convection inside a triangular enclosure with linear heating/cooling on the inclined surfaces. Natural convection in an attic space filled with porous media has also been conducted by a number of researchers [12,13,14,15].…”

Inverse determination of boundary heat fluxes in a porous enclosure dynamically coupled with thermal transport

“…Natural convection in porous or fluid filled enclosures has received considerable attention due to its importance in many engineering systems, such as materials processing (casting, sintering, and etching), growing crystals, catalytic reactors, environmental management of organic waste, cooling of electronic units, solar energy collector, to name just a few (Lauriat and Prasad, 1987;Goyeau et al, 1996;Patwardhan et al, 2003;Costa, 1999Costa, , 2003Khopkar et al, 2006;Basak et al, 2007;Ganguli et al, 2007;Zhao et al 2006Zhao et al , 2007aZhao et al ,b, 2008aLiu et al 2008a,b). To achieve better performance of materials processing and other systems or equipments involving natural convection flow, it requires profound knowledge of fluid/porous and heat/species transports, upon which appropriate strategies could be implemented.…”

Finite Element Simulation of an Unimolecular Thermal Decomposition inside a Reactor

“…As illustrated in [17]- [19], the continuity Equation (7) can be used as a constraint due to mass conservation and hence the pressure distribution can be obtained using this constraint. In order to solve Equations (8)- (11), a penalty finite element formulation is used.…”

“…Biquadratic shape functions with three point Gaussian quadrature is used to calculate the integrals in the residual Equations (16)- (19). In Equations (16) and (17), the second integral containing the penalty parameter γ are evaluated with two point Gaussian quadrature (reduced integration penalty formulation [17]- [19]).…”

“…In Equations (16) and (17), the second integral containing the penalty parameter γ are evaluated with two point Gaussian quadrature (reduced integration penalty formulation [17]- [19]). It has been found that lowering the integration order is essential to avoid ill-conditioning of the Jacobian for large values of γ .…”