Integral transform solution of natural convection in a square cavity with volumetric heat generation
AUTOR(ES)
An, C., Vieira, C. B., Su, J.
FONTE
Braz. J. Chem. Eng.
DATA DE PUBLICAÇÃO
2013-12
RESUMO
The generalized integral transform technique (GITT) is employed to obtain a hybrid numerical-analytical solution of natural convection in a cavity with volumetric heat generation. The hybrid nature of this approach allows for the establishment of benchmark results in the solution of non-linear partial differential equation systems, including the coupled set of heat and fluid flow equations that govern the steady natural convection problem under consideration. Through performing the GITT, the resulting transformed ODE system is then numerically solved by making use of the subroutine DBVPFD from the IMSL Library. Therefore, numerical results under user prescribed accuracy are obtained for different values of Rayleigh numbers, and the convergence behavior of the proposed eigenfunction expansions is illustrated. Critical comparisons against solutions produced by ANSYS CFX 12.0 are then conducted, which demonstrate excellent agreement. Several sets of reference results for natural convection with volumetric heat generation in a bi-dimensional square cavity are also provided for future verification of numerical results obtained by other researchers.
Documentos Relacionados
- INTEGRAL TRANSFORM METHOD FOR LAMINAR HEAT TRANSFER CONVECTION OF HERSCHEL-BULKLEY FLUIDS WITHIN CONCENTRIC ANNULAR DUCTS
- The lid-driven square cavity flow: numerical solution with a 1024 x 1024 grid
- Numerical study on mixed convection in a horizontal flow past a square porous cavity using UNIFAES scheme
- Integral transform solution to the endometrial ablation problem
- Natural convection heat transfer in partially open enclosures containing an internal local heat source