Abstract
In this work, we solve numerically the unsteady conduction-convection equation including heat generation inside a fluid sphere. The results of a numerical study in which the Nusselt numbers from a spherical fluid volume were computed for different ranges of Reynolds number (0
Dates
- Submission Date2012-08-11
- Revision Date2013-01-28
- Acceptance Date2013-03-30
- Online Date2013-06-01
References
- Ellahi R., Steady and Unsteady Flow Problems for Newtonian and Non-Newtonian Fluids: Basics, Concepts, Methods, VDM Verlag, Germany, 2009.
- Ellahi R., Ariel, P. D., Hayat, T., Asghar, S., Effect of heat transfer on a third grade fluid in a channel, International Journal of Numerical Method in Fluids, 63 (2010), pp. 847-859
- Ellahi R., R. Arshad, A. Saeid, H. Tasawar and V. Kambiz, A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder, Thermal Science International Scientific Journal, doi: 10.2298/TSCI110923097E.
- Ellahi R., E. Shivanian, S. Abbasbandy, S.U. Rahman, T. Hayat, Analysis of steady flows in viscous fluid with heat/mass transfer and slip effects, International Journal of Heat and Mass Transfer, 55 (2012), pp. 6384-6390.
- Clift, R., Grace, J. R., Weber, M. E., Bubbles, Drops and Particles, Academic Press, New York, USA, 1978
- Sadhal, S. S., Ayyaswamy, P. S., Chung, J. N. C., Transport Phenomena with Drops and Bubbles, Springer, Berlin, 1996
- Feng ZG, Michaelides EE. Heat and mass transfer coefficients of viscous spheres, Journal of Heat and Mass Transfer, 44 (2001), 23, pp. 4445-4454
- Chhabra R.P., Bubbles, Drops and Particles in Non-Newtonian Fluids (2nd edition), Boca Raton ; London ; New York : CRC Taylor & Francis, 2007
- Kishore, N., Chhabra R. P., Eswaran, V., Mass transfer from a single fluid sphere to power-law liquids at moderate Reynolds numbers, Chemical Engineering Science, 62 (2007), pp. 6040-6053
- Kishore, N., Chhabra, R.P, Eswaran, V., Drag on ensembles of fluid spheres translating in a power-law liquid at moderate Reynolds numbers, Chemical Engineering Journal, 139 (2008), pp. 224-235
- Saboni, A., Alexandrova, S., Gourdon, C., Détermination de la traînée engendrée par une sphère fluide en translation, Chemical Engineering Journal, 98 (2004), 1-2, pp. 175-182
- Saboni, A., Alexandrova, S., Spasic, A. M., Gourdon, C., Effect of the viscosity ratio on mass transfer from a fluid sphere at low to very high Peclet numbers. Chemical Engineering Science, 62 (2007), pp.4742-4750
- Saboni, A., Alexandrova, S., Numerical study of the drag on a fluid sphere. AIChE Journal, 48 (2002), pp. 2992-2994
- Saboni, A., Alexandrova, S., Mory, M., Flow around a contaminated fluid sphere, International Journal of Multiphase Flow, 36 (2010), 6, pp. 503-512
- Saboni, A., Alexandrova, S., Karsheva, M., Gourdon, C., Mass transfer from a contaminated fluid sphere, AIChE Journal, 57 (2011), 7, pp. 1684-1692
- Guella, S., Alexandrova, S., Saboni, A., Evaporation d'une gouttelette en chute libre dans l'air, International Journal of Thermal Sciences, 47 (2008), pp. 886-898
- Miliauskas G., Regularities of unsteady radiative-conductive heat transfer in evaporating semitran-sparent liquid droplets, International Journal of Heat and Mass Transfer, 44 (2001), pp. 785-798.
- Sazhin S.S., Krutitskii P.A., Abdelghaffar W.A., Sazhina E.M., Mikhalovsky S.V., Meikle S.T., Heikal M.R., Transient heating of diesel fuel droplets, International Journal of Heat and Mass Transfer, 47 (2004), pp. 3327-3340.
- Polyanin A.D., Kutepov A.M., Vyazmin A.V., Kazenin D.A., Hydrodynamics, Mass and Heat Transfer in Chemical Engineering. Taylor and Francis, London and New York, 2002, Chaps. 4 and 5.
- Faghri A., Zhang Y., Transport Phenomena in Multiphase Systems. Elsevier, 2006, Chaps. 9 & 11.
- Sazhin S.S., Advanced models of fuel droplet heating and evaporation, Prog. Energy Combust. Sci., 32 (2006), pp. 162-214.
- Sazhin S.S., Modelling of sprays using computational fluid dynamics codes, Pollack Periodica, 4 (2009), pp. 5-16.
- Sazhin S.S., Krutitskii P.A., Gusev I.G., Heikal M.R., Transient heating of an evaporating droplet, International Journal of Heat and Mass Transfer, 53 (2010), pp. 2826-2836.
- Sazhin S.S., Krutitskii P.A., Gusev I.G., Heikal M.R., Transient heating of an evaporating droplet with presumed time evolution of its radius, International Journal of Heat and Mass Transfer , 54 (2011), pp. 1278-1288.
- Sazhin S.S., Krutitskii P.A., Martynov S.B., Mason D., Heikal M.R., Sazhina E.M., Transient heating of a semitransparent spherical body, International Journal of Thermal Sciences, 46 (2007), pp. 444-457.
- Kleinman, L. S., Reed, X.B., Unsteady Conjugate Mass Transfer between a Single Droplet and an Ambient Flow With External Chemical Reaction, Industrial and Engineering Chemistry Research, 35 (1996), pp. 2875-2888
- Juncu, G., Unsteady conjugate mass transfer to a sphere accompanied by a consecutive second-order chemical reaction inside the sphere, Chemical Engineering and Processing, 45 (2006), pp. 22-30
- Juncu, G., Unsteady mass transfer from/to a drop accompanied by a reversible, second-order chemical reaction on the surface of the drop. International Journal of Thermal Sciences, 47 (2008), pp. 1294-1305
- Souccar, A. W., Oliver, D. L., Transfer From a Droplet at High Peclet Numbers With Heat Generation: Interior Problem, ASME Journal of Heat Transfer, 129 (2007), pp. 664-668
- Hadamard, J., Mouvement permanent lent d'une sphère liquide et visqueuse dans un liquide visqueux, Comptes Rendus de l'Académie des Sciences, 152 (1911), pp. 1735-1738
- Rybczynski, W., Uber die fortschreitende Bewegung einer fluessigen Kugel in einem zahen Medium, Bulletin international de l'Académie des sciences de Cracovie A, (1911), pp. 40-46
- Panton, R., Incompressible Flow, John Wiley, 1996
Volume
18,
Issue
4,
Pages1213 -1222