Abstract
The mixed convection in a vertical plane-parallel channel with two heat sources of finite dimensions located at the wall is analyzed on the basis of a two-dimensional numerical simulation. The effect of the distance between the heat sources on the flow pattern and the temperature field is studied. Calculations are performed on the Grashof and Reynolds number ranges from 0–105 and 0–10, respectively, at a Prandtl number of 0.7. The mathematical model is based on the time-dependent Navier-Stokes equations in the Boussinesq approximation. The problem is solved by the finite element method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L.A. Moiseeva and S.G. Cherkasov, “Steady Free-Convection Heat Transfer in a Cylindrical Reservoir with Uniform Heat Supply and Simultaneous Heat Removal through Local Sinks,” Teplofiz. Vys. Temp. 35, 564 (1997).
L.A. Moiseeva and S.G. Cherkasov, “Mathematical Modeling of Natural Convection and Heat Transfer in a Cryogenic-Fuel Tank with a Cooling Heat Exchanger,” Fluid Dynamics 32(3), 351 (1997).
H.H.-S. Chu, S.W. Churchill, and C.V.S. Patterson, “The Effect of Heater Size, Location, Aspect Ratio, and Boundary Conditions on Two-Dimensional, Laminar, Free Convection in Rectangular Channels,” ASME J. Heat Transfer 98, 194 (1976).
M.L. Chadwick, B.W. Webb, and H.S. Heaton, “Natural Convection from Two-Dimensional Discrete Heat Sources in a Rectangular Enclosure,” Intern. J. Heat Mass Transfer 34, 1679 (1991).
G. Refai Ahmed and M.M. Yovanovich, “Influence of Discrete Heat Source Location on Natural Convection Heat Transfer in a Vertical Square Enclosure,” J. Electronic Packaging 113, 268 (1991).
G. Refai Ahmed and M.M. Yovanovich, “Numerical Study of Natural Convection from Discrete Heat Sources in a Vertical Square Enclosure,” J. Thermophysics 6, 121 (1992).
R.F. Boehm and D. Kamyab, “Established Stripwise Laminar Convection on a Horizontal Surface,” ASME J. Heat Transfer 99, 294 (1977).
S. Lee and M.M. Yovanovich, “Conjugate Heat Transfer from a Vertical Plate with Discrete Heat Sources under Natural Convection,” J. Electronic Packaging 111, 261 (1989).
G. Evans and R. Grief, “A Study of Traveling Wave Instabilities in Horizontal Channel Flow with Applications to Chemical Vapor Deposition,” Intern. J. Heat Mass Transfer 32, 895 (1989).
W.K.S. Chiu, C.J. Richards, and Y. Jaluria, “Flow Structure and Heat Transfer in a Horizontal ConvergingChannel Heated from Below,” Phys. Fluids 12, 2128 (2000).
I.A. Ermolaev and A.I. Zhbanov, “Mixed Convection in a Horizontal Channel with Local Heating from Below,” Fluid Dynamics 39(1), 36 (2004).
F.C. Lai and F.A. Kulacki, “Oscillatory Mixed Convection in Horizontal Porous Layers Locally Heated from Below,” Intern. J. Heat Mass Transfer 34, 887 (1991).
I.I. Lipatov, “Disturbed Boundary Layer Flow with Local Time-Dependent Surface Heating,” Fluid Dynamics 41(5), 725 (2006).
D. Epidorou, V. Prasad, and V. Modi, “Convection in Vertical Channel with a Finite Wall Heat Source,” Intern. J. Heat Mass Transfer 34, 573 (1991).
G.Z. Gershuni and E.M. Zhukhovitskii, Convective Stability of Incompressible Fluids [in Russian], Nauka, Moscow (1972).
E.L. Tarunin, Numerical Experiments in Problems of Free Convection [in Russian], Irkutsk Univ. Press, Irkutsk (1990).
Additional information
Original Russian Text © I.A. Ermolaev, A.I. Zhbanov, 2009, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2009, Vol. 44, No. 4, pp. 40–46.
Rights and permissions
About this article
Cite this article
Ermolaev, I.A., Zhbanov, A.I. Mixed convection in a vertical channel with discrete heat sources at the wall. Fluid Dyn 44, 511–516 (2009). https://doi.org/10.1134/S0015462809040048
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462809040048