AN ANALYSIS OF A FLUID FLOW IN A CHANNEL WITH UNIFORM HEATED WALLS
A problem of a mixed convection flow in a channel filled with a porous medium is presented in the paper. The walls of the channel are heated by a uniform heat flux. Mathematical models are presented for the case of vertical parallel plates and in the case of an inclined channel. The velocity at the channel entrance is given for the upward (assisting) flow. Analytical and numerical solutions of the problem for different parameters involved are presented and discussed.The problem of replacing the fluid which saturates the porous matrix by a nanofluid is also considered by a mathematical model.Key words: Mathematical Model, Mixed Convection, Porous Medium, Differential Equations, Nanofluids.
Abu-Nada, E., Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step, Int. J. Heat Fluid Flow, 29, pp. 242–249, 0142-727X, (2008).
Abu-Nada, E., Oztop, H.F., Effects of inclination angle on natural convection in enclosures filled with Cu-water Nanofluid, Int. J. Heat Fluid Flow, 30, pp. 669–678, 0142-727X, (2009).
Ahmad, S., Pop, I., Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluid,. Int. Commun. Heat Mass Transf.doi:10.1016/j.icheatmasstransfer. 2010.06.004, (2010).
Bejan, A., Dincer, I., Lorente, S., Miguel, A.F., Reis, A.H., Porous and Complex Flow Structures in Modern Technologies. Springer, 978-0-387-20225-9, New York, (2004).
Buongiorno, J., Convective transport in nanofluids, ASME J. Heat Transf., 128, pp. 240–250, 0022-1481, (2006).
Cimpean D.S., Mathematical models applied in engineering, Digital Data, 973-7768-56-6, Cluj-Napoca, 2009.
Cimpean, D., Pop, I., Ingham, D., Merkin, J. Fully developed opposing mixed convection flow between inclined parallel plates field with a porous medium, Transport in Porous Media Int J, 77, pp.87-102, 0169-3913 (2009).
Choi, S.U.S., Enhancing thermal conductivity of fluids with nanoparticles, in: Siginer, D.A.,Wang, H.P (eds.)Development and Applications of Non-Newtonian Flows, vols. MD-231, FED-66, pp. 99–105, ASME, 10016-5990, New York (1995).
Das, S.K., Choi, S.U.S., Yu, W., Pradet, T.: Nanofluids: Science and Technology. Wiley, 978-0-470-07473-2, New Jersey (2007).
Eastman, J.A., Choi, S.U.S., Li, S., Yu, W., Thompson, L.J., Anomalously increased effective thermal conductivity of ethylene glycol-based nanofluids containing copper nanoparticles, J. Appl. Phys. Lett., 78, pp. 718–720, 0003-6951 (2010).
Ingham, D., Pop, I., (eds.), Transport Phenomena in Porous Media, Vol. III, 0-08-044490-3, Elsevier, Oxford, 2005.
Kang, H.U., Kim, S.H., Oh, J.M., Estimation of thermal conductivity of nanofluid using experimental effective particle volume, Exp. Heat Transf., 19, pp. 181–191 0891-6152 (2006).
Kumar, S., Prasad, S.K., Banerjee, J., Analysis of flow and thermal field in nanofluid using a single phase thermal dispersion model, Appl. Math. Model., 34, pp. 573–592, 0307-904X (2010).
Nield, D.A., Bejan, A., Convection in Porous Media, Springer, 978-0-387-29096-6, New York (2006).
Nield, D.A., Kuznetsov, A.V., Thermal instability in a porous medium layer saturated by a nanofluid, Int. J. Heat Mass Transfer, 0017-9310, 52 5796–5801 (2009).
Nield, D.A., Kuznetsov, A.V., The Cheng–Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid, Int. J. Heat Mass Transf., 52, pp. 5792–5795, 0017-9310 (2009).
Oztop, H.F., Abu-Nada, E., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29, pp. 1326–1336, 0142-727X (2008).
Pop, I., Ingham, D.B., Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media. Pergamon, 0080438784, Oxford, 2001.
Tiwari, R.K., Das, M.K., Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluid, Int. J. Heat Mass Transf., 50, pp. 2002–2018, 0017-9310 (2007).
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