TY - JOUR
T1 - Analytical solution of buoyancy-driven flow and heat transfer in a vertical channel with spatially periodic boundary conditions
AU - Gunes, Hasan
PY - 2003/12
Y1 - 2003/12
N2 - In this study, we derive analytical expressions describing the variation of field variables in steady, 2-D and 3-D natural convection in a vertical channel with discrete in-space, flush-mounted heat sources. The expressions are valid for sufficiently small Gras of numbers. The solution are governed by the following dimensionless parameters: aspect ratios defining the geometry of the problem, Prandtl number, Grashof number and dimensionless channel reference temperature. Test case solutions are obtained numerically to assess the accuracy of the derived expressions. For small values Gr, the derived expressions are in excellent agreement with the numerical solutions in the entire computational domain. Analytical expressions for the net volume flow rate through the channel and Nusselt number variation are also given.
AB - In this study, we derive analytical expressions describing the variation of field variables in steady, 2-D and 3-D natural convection in a vertical channel with discrete in-space, flush-mounted heat sources. The expressions are valid for sufficiently small Gras of numbers. The solution are governed by the following dimensionless parameters: aspect ratios defining the geometry of the problem, Prandtl number, Grashof number and dimensionless channel reference temperature. Test case solutions are obtained numerically to assess the accuracy of the derived expressions. For small values Gr, the derived expressions are in excellent agreement with the numerical solutions in the entire computational domain. Analytical expressions for the net volume flow rate through the channel and Nusselt number variation are also given.
KW - Analytical methods
KW - Buoyancy-driven flow
KW - Natural convection
KW - Perturbation methods
KW - Three-dimensional flow
UR - http://www.scopus.com/inward/record.url?scp=0742286290&partnerID=8YFLogxK
U2 - 10.1007/s00231-003-0417-0
DO - 10.1007/s00231-003-0417-0
M3 - Article
AN - SCOPUS:0742286290
SN - 0947-7411
VL - 40
SP - 33
EP - 45
JO - Heat and Mass Transfer
JF - Heat and Mass Transfer
IS - 1-2
ER -