ABSTRACT
This study assesses the performance of three numerical turbulence models; k -e ,
k -w and k -w - SST in predicting heat transfer due to natural convection inside an
air filled cavity. The heat transfer due to natural convection inside a rectangular
closed cavity should be modeled to include the effect of turbulence for Rayleigh
number greater than or equal to 9 10 .The non-linear terms i j u u and qi u in the
averaged momentum and energy equations respectively were modeled using the
k -e , k -w and k -w - SST models to close the governing equations. The cavity is
maintained at 283 K on the cold wall and 323 K on the opposite hot wall. The other
four walls are adiabatic.The vorticity-vector potential formulation has been used to
eliminate the need to solve the pressure term. The vorticity, vector potential, energy
and the two-equations for respective models together with their boundary conditions
were solved using finite difference approximations. The results obtained for velocity,
temperature, Nusselt number and turbulent kinetic energy for the three turbulence
models were compared to experimentally determined values. The comparisons
showed that k -w - SST model performs better than both k -e and k -w models in
the whole enclosure.The k -w - SST was then used in a test case problem of heating
and cooling on the same wall. For the test problem, it has been found that the room is
stratified into three regions: a cold upper region, a hot region in the area between the heater and window and a warm lower region.
OTIENO, A (2021). Simulating Natural Turbulent Convection Fluid Flow In An Enclosure Using The Two-Equation Turbulent Models. Afribary. Retrieved from https://afribary.com/works/simulating-natural-turbulent-convection-fluid-flow-in-an-enclosure-using-the-two-equation-turbulent-models
OTIENO, AWUOR "Simulating Natural Turbulent Convection Fluid Flow In An Enclosure Using The Two-Equation Turbulent Models" Afribary. Afribary, 01 Jun. 2021, https://afribary.com/works/simulating-natural-turbulent-convection-fluid-flow-in-an-enclosure-using-the-two-equation-turbulent-models. Accessed 24 Nov. 2024.
OTIENO, AWUOR . "Simulating Natural Turbulent Convection Fluid Flow In An Enclosure Using The Two-Equation Turbulent Models". Afribary, Afribary, 01 Jun. 2021. Web. 24 Nov. 2024. < https://afribary.com/works/simulating-natural-turbulent-convection-fluid-flow-in-an-enclosure-using-the-two-equation-turbulent-models >.
OTIENO, AWUOR . "Simulating Natural Turbulent Convection Fluid Flow In An Enclosure Using The Two-Equation Turbulent Models" Afribary (2021). Accessed November 24, 2024. https://afribary.com/works/simulating-natural-turbulent-convection-fluid-flow-in-an-enclosure-using-the-two-equation-turbulent-models