Transient Free Laminar Convection in the Vicinity of a Thermal Conductive Vertical Plate
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Transient Free Laminar Convection in the Vicinity of a Thermal Conductive Vertical Plate

Authors: Anna Bykalyuk, Frédéric Kuznik, Kévyn Johannes

Abstract:

In this paper the influence of a vertical plate’s thermal capacity is numerically investigated in order to evaluate the evolution of the thermal boundary layer structure, as well as the convective heat transfer coefficient and the velocity and temperature profiles. Whereas the heat flux of the heated vertical plate is evaluated under time depending boundary conditions. The main important feature of this problem is the unsteadiness of the physical phenomena. A 2D CFD model is developed with the Ansys Fluent 14.0 environment and is validated using unsteady data obtained for plasterboard studied under a dynamic temperature evolution. All the phenomena produced in the vicinity of the thermal conductive vertical plate (plasterboard) are analyzed and discussed. This work is the first stage of a holistic research on transient free convection that aims, in the future, to study the natural convection in the vicinity of a vertical plate containing Phase Change Materials (PCM).

Keywords: CFD modeling, natural convection, thermal conductive plate, time-depending boundary conditions.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1089521

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[1] Z. H. Qureshi, B. Gebhart, "Transition and transport in buoyancy driven flow in water adjacent to a vertical uniform flux surface”, in International Journal of Heat and Mass Transfer, vol.21;12, pp.1467-1479, (1978).
[2] G.C. Vliet, C.K. Liu, "An experimental study of turbulent natural convection boundary layers”, in Journal of Heat Transfer, vol.92, pp517-531, (1969).
[3] R.J. Goldstein, E.R.G. Eckert, "The steady and transient free convection boundary layer on a uniformly heated vertical plate”, in International Journal of Heat and Mass Transfer, vol 1; 2–3, August 1960, pp 208-210,IN1-IN4,211-218.
[4] G. D. Callahan, W. J. Marner, "Transient free convection with mass transfer on an isothermal vertical flat plate”, in International Journal of Heat and Mass Transfer, vol. 19; 2, February 1976, pp 165-174.
[5] V. M. Soundalgekar, and P. D. Wavre, "Unsteady free convection flow past an infinite vertical plate with constant suction and mass transfer", in International Journal of Heat and Mass Transfer, vol. 20, pp 1363-1373 (1977).
[6] A. A. Berezovsky, O. G. Martynenko and Yu. A. Sokovishin, "Free convective heat transfer on a vertical semi infinite plate", in Journal of Engineering Physics, vol. 33, pp. 32-39, (1977).
[7] O. G. Martynenko, A. A. Berezovsky, "Laminar free convection from a vertical plate”, in International Journal of Heat and Mass Transfer, vol. 27; 6, June 1984, pp. 869–881.
[8] K. Pohlhausen, "Zur näherungsweisen Integration der Differentialgleichung der Iaminaren Grenzschicht”, in z.f.a.M.M vol.I, , p.252, (1921).
[9] S. Ostrach, "Combined natural and forced convection laminar flow and heat transfer of fluids with and without heat sources in channels with linearly varying wall temperature", in NACA TN, 3141, (1954).
[10] S. Ostrach, "Laminar natural convection flow and heat transfer of fluids with and without heat sources in channels with constant wall temperature", in NACA TN, 2863, (1952).
[11] S. Ostrach, "New aspects of natural convection heat transfer", in Transactions of the American Society of Mechanical Engineers, vol 75, pp. 1287-1290 (1953).
[12] E. Schmidt, W. Beckmann, "Das Temperatur-und Geschwindigkeitsfeld vor einer Wärme abgebenden senkrechter Platte bei natürlicher Konvektion”, in Tech. Mech. u.Thermodynamik, Bd.1, Nr.10, Okt. 1930, pp. 341-349; cont., Bd.1, Nr. 11, Nov. 1930, pp.391-406.
[13] R. Siegel, "Transient free convection from a vertical flat plate", in Transactions of the ASME, vol. 30, pp. 347-359 (1958).
[14] B. Gebhart, "Transient natural convection for vertical elements for time dependent internal energy generation—appreciable thermal capacity”, in International Journal of Heat and Mass Transfer, vol. 6; 11, November 1963, pp. 951–957.
[15] E.M. Sparrow, "Laminar free convection on a vertical plate with prescribed nonuniform wall flux or prescribed nonuniform wall temperature”, in NACA TN 35008 (1955).
[16] J. D. Hellums and S. W. Churchill, "Transient and steady state, free and natural convection, numerical solution: Part 1. The isothermal, vertical palte”, in A.I.Ch.E. vol. 8, pp 690-6925 (1962).
[17] A. Bejan, "Convection heat transfer”, in A Wiley-Interscience Publication, John Wiley and Sons, Inc.,New York (1984).
[18] W. M. Kays, M.E. Crawford, "Convective heat and mass transfer”, second edition, in McGraw-Hill Book Company, New York (1980).
[19] L. C. Burmeister, "Convection heat transfer”, in A Wiley-Interscience Publication, John Wiley and Sons, Inc.,New York (1983).
[20] Y. Xiaoxiong, "Wall Function for Numerical Simulation of Natural Convection along Vertical Surfaces”, Master of Science, Swiss Fereral Institute of Technology, Juris Druck+Verlag (1995).
[21] G. C. Georgantopoulou, S. Tsangaris, "Block, mesh refinement of incompressible flows in curvilinear domains” in Applied Mathematical Modellling, vol. 31, pp. 2136–2148, (2007).
[22] T. Cebeci and P. Bradshaw, "Physical and Computational Aspect of Convective Heat Transfer”, in Springer, (1984).
[23] S. V. Patankar, "Numerical heat transfer and fluid flow”, in Taylor&Francis (1980).
[24] D. G. Holmes and S. D. Connell, "Solution of the 2D Navier-Stokes Equations on Unstructured Adaptive Grids” Presented at the AIAA 9th Computational Fluid Dynamics Conference, June 1989.
[25] R. D. Rauch, J. T. Batira, and N. T. Y. Yang, "Spatial Adaption Procedures on Unstructured Meshes for Accurate Unsteady Aerodynamic Flow Computations”, Technical Report AIAA-91-1106, aiaa, (1991).
[26] E.M. Sparrow, and J.L. Gregg, "Laminar free convection for a vertical surface with uniform surface heat flux”, in Trans ASME, Vol.78, pp. 435-440, (1956).