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Języki publikacji
Abstrakty
In this paper, triple diffusive natural convection under Darcy flow over an inclined plate embedded in a porous medium saturated with a binary base fluid containing nanoparticles and two salts is studied. The model used for the nanofluid is the one which incorporates the effects of Brownian motion and thermophoresis. In addition, the thermal energy equations include regular diffusion and cross-diffusion terms. The vertical surface has the heat, mass and nanoparticle fluxes each prescribed as a power law function of the distance along the wall. The boundary layer equations are transformed into a set of ordinary differential equations with the help of group theory transformations. A wide range of parameter values are chosen to bring out the effect of buoyancy ratio, regular Lewis number and modified Dufour parameters of both salts and nanofluid parameters with varying angle of inclinations. The effects of parameters on the velocity, temperature, solutal and nanoparticles volume fraction profiles, as well as on the important parameters of heat and mass transfer, i.e., the reduced Nusselt, regular and nanofluid Sherwood numbers, are discussed. Such problems find application in extrusion of metals, polymers and ceramics, production of plastic films, insulation of wires and liquid packaging.
Rocznik
Tom
Strony
883–--900
Opis fizyczny
Bibliogr. 25 poz., wykr.
Twórcy
autor
- Department of Mathematics Indian Institute of technology Roorkee 247667, Uttarakhand, INDIA
autor
- Department of Mathematics Indian Institute of technology Roorkee 247667, Uttarakhand, INDIA
autor
- Department of Mathematics Indian Institute of technology Roorkee 247667, Uttarakhand, INDIA
Bibliografia
- [1] Nield D. and Bejan A. (2006): Convection in Porous Media. - third ed., New York: Springer.
- [2] Pop I. and Ingham D. (2001): Convective Heat Transfer: Mathematical and Computational Modeling of Viscous Fluids and Porous Media. - Oxford: Pergamon.
- [3] Ingham D. and Pop I. (2005): Transport Phenomena in Porous Media III. - Oxford: Elsevier.
- [4] Choi S.U.S. and Eastman J.A. (1995): Enhancing thermal conductivity of fluids with nanoparticles in developments and applications of non-newtonian flows. - ASME FED, vol.231/MD-vol.66, pp.99-105.
- [5] Choi S.U.S., Zhang Z.G., Yu W., Lockwood F.E. and Grulke E.A. (2001): Anomalous thermal conductivity enhancement in nanotube suspensions. - Applied Physics Letters, vol.79, No.14, pp.2252-2254.
- [6] Masuda H., Ebata A., Teramae K. and Hishinuma N. (1993): Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-nano particles. - Netsu Bussei, vol.7, No.4, pp.227-233.
- [7] Buongiorno J. (2006): Convective transport in nanofluids. - Journal of Heat Transfer, vol.128, No.3, pp.240-250.
- [8] Kuznetsov A. and Nield D. (2010): Natural convective boundary-layer flow of a nanofluid past a vertical plate. - International Journal of Thermal Sciences, vol.49, pp.243-247.
- [9] Nield D. and Kuznetsov A. (2009): The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. - International Journal of Heat and Mass Transfer, vol.52, pp.5792-5795.
- [10] Cheng P. and Minkowycz W. (1977): Free convection about a vertical plate embedded in a porous medium with application to heat transfer from a dike. - Journal of Geophysical Research, vol.82, pp.2040-2044.
- [11] Khan W. and Pop I. (2010): Boundary-layer flow of a nanofluid past a stretching sheet. - International Journal of Heat and Mass Transfer, vol.53, pp.2477-2483.
- [12] Khan W. and Aziz A. (2011): Double-diffusive natural convective boundary layer flow in a porous medium saturated with a nanofluid over a vertical plate: Prescribed surface heat, solute and nanoparticle fluxes, - International Journal of Thermal Sciences, vol.50, pp.2154-2160.
- [13] Kuznetsov A. and Nield D. (2011): Double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate. - International Journal of Thermal Sciences, vol.50, No.5, pp.712-717.
- [14] Rana P., Bhargava R. and Beg O.A. (2012): Numerical solution for mixed convection boundary layer flow of a nanofluid along an inclined plate embedded in a porous medium. - Computers and Mathematics with Applications, vol.64, pp.2816-2832.
- [15] Murthy P.V.S.N., Sutradhar A. and RamReddy C. (2013): Double-diffusive free convection flow past an inclined plate embedded in a non-Darcy porous medium saturated with a nanofluid. - Transport in Porous Medium, vol.98, pp.553-564.
- [16] Khan Z., Khan W. and Pop I. (2013): Triple diffusive free convection along a horizontal plate in porous media saturated by a nanofluid with convective boundary condition. - International Journal of Heat and Mass Transfer, vol.66, pp.603-612.
- [17] Nield D. and Kuznetsov A. (2011): The Cheng-Minkowycz problem for the double-diffusive natural convective boundary-layer flow in a porous medium saturated with a nanofluid. - International Journal of Heat and Mass Transfer, vol.54, pp.374-378.
- [18] Wu M., Kuznetsov A.K. and Jasper W. (2010): Modelling of particle trajectories in an electrostatically charged channel. - Physics of Fluids, vol.22, 043301.
- [19] Wu G., Kuznetsov A.K. and Jasper W. (2011): Distribution characteristics of exhaust gases and soot particles in a wall-flow ceramics filter. - Journal of Aerosol Science, vol.42, pp.447-461.
- [20] Rionero S. (2013): Triple diffusive convection in porous media. - Acta Mechanica, vol.224, No.2, pp.447-458. URL http://dx.doi.org/10.1007/s00707-012-0749-2.
- [21] Reddy J.N. (1985): An Introduction to the Finite Element Method. - New York: McGraw-Hill Book Co.
- [22] Lin Y.Y. and Lo S.P. (2003): Finite element modeling for chemical mechanical polishing process under different back pressures. - Journal of Materials Processing Technology, vol.140, No.1-3, pp.646-652.
- [23] Dettmer W. and Peric D. (2006): A computational framework for fluid-rigid body interaction: Finite element formulation and applications. - Computer Methods in Applied Mechanics and Engineering, vol.195, No.13-16, pp.1633-1666.
- [24] Hansbo A. and Hansbo P. (2004): A finite element method for the simulation of strong and weak discontinuities in solid mechanics. - Computer Methods in Applied Mechanics and Engineering, vol.193, No.33-35, pp.3523-3540.
- [25] Noghrehabadi A., Behseresht A. and Ghalambaz M. (2013): Natural convection of nanofluid over vertical plate embedded in porous medium: prescribed surface heat flux. - Applied Mathematics and Mechanics, vol.34, pp.669-686.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4be84d88-8a3a-4527-8d4b-52f73b30b85b