INVESTIGATION OF NATURAL CONVECTION HEAT TRANSFER AT CONSTANT HEAT FLUX ALONG A VERTICAL AND INCLINED PLATE

It is a common phenomenon that the devices that are exposed to constant heat fluxes are cooled at natural atmospheric environments. However, it is required to know the surface temperature in these devices. In this study, the cooling of a plate (1 m in height and 1 m in width) which is oriented vertical, and also 20°- and 45°-inclined from the vertical (downward-facing surface), at the constant heat flux of 1000 Wm-2 at atmospheric natural convection conditions is investigated. The local temperature values at the vertical center of the plate are calculated using the correlation in Vliet [1]’s experimental study and computer analyses and compared to those results. The results show that the surface temperature values of the plate at the inclination angle of 45° are relatively higher than those of the plate at the vertical state and those of the 20°-inclined plate.

___

  • [1] Vliet, G.C. (1969). Natural convection local heat transfer on constant-heat-flux inclined surface, Journal of Heat Transfer, 91(4), 511-517.
  • [2] Holman, J.P. (2101). Heat Transfer, Tenth Edition, McGrawHill.
  • [3] Vliet, G.C., Liu, C.K. (1969). An experimental study of turbulent natural convection boundary layers, Journal of Heat Transfer, 91(4), 517-531.
  • [4] Vliet, G.C., Ross, D.C. (1975). Turbulent natural convection on upward and downward facing inclined constant heat flux surfaces, Journal of Heat Transfer, 97(4), 549-554.
  • [5] Dotson, J.P. (1954).Heat transfer from a vertical plate by free convection, MS thesis, Purdue University.
  • [6] Fussey, D.E., Warneford, I.P. (1978). Free convection from a downward facing inclined flat plate, International Journal of Heat and Mass Transfer, 21, 119-129.
  • [7] Lim, C.K., Chung, B.J. (2015). Natural convection experiments on the upward and downward faces of inclined plates using an electroplating system, Heat Mass Transfer, 51, 713-722.
  • [8] Fahiminia, M., Naserian, M. M., Goshayeshi, H. R., Majidian, D. (2011). Investigation of natural convection heat transfer coefficient on extended vertical base plates, Energy and Power Engineering, 3, 174-180.
  • [9] Khan, W.A., Aziz, A. (2011). Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux, International Journal of Thermal Sciences, 50, 1207-1214.
  • [10] Lin, H.-T., Yu, W.-S., Yang, S.-L. (1989). Free convection on an arbitrarily inclined plate with uniform surface heat flux, Waerme- und Stroffübertragung 24, 183-190.
  • [11] Guha, A., Pradhan, K. (2017). A unified integral theory of laminar natural convection over surfaces at arbitrary inclination from horizontal to vertical, International Journal of Thermal Sciences 111, 475-490.
  • [12] Dubey, S., Sarvaiya, J.N., Seshadri, B. (2013). Temperature dependent photovoltaic (PV) efficiency and its effect on PV production in the word-a review, Energy Procedia 33, 311-321.
  • [13] Bejan, A. (1984). Convection heat transfer, John Wiley and Sons.
  • [14] Wilson, M.J., Paul, M. C. (2011). Effect of mounting geometry on convection occurring under a photovoltaic panel and the corresponding efficiency using CFD, Solar Energy, 85, 2540-2550.
  • [15] Saha, S.C. (2008).Natural convection adjacent to an inclined flat plate and in an attic space under various thermal forcing conditions. PhD thesis, James Cook University, http://eprints.jcu.edu.au/12138.
  • [16] ANSYS Fluent Theory Guide, (2013).15317, November.
  • [17] Incropera, F.P., DeWitt, D.P. (1996). Fundamentals of Heat and Mass Transfer, Fourth Edition, John Wiley and Sons.
  • [18] https://newonlinecourses.science.psu.edu/stat501/node/255/
  • [19] Tari, I., Mehrtash, M. (2013). Natural convection heat transfer from inclined plate-fin heat sinks, International Journal of Heat and Mass Transfer 56, 574–593.