A boundary layer analysis is laid out for the steady, laminar, mixed convection flow past an isothermal vertical cone embedded in a porous medium filled with a nanofluid. The model used for the nanofluid is one which includes the effects of Brownian motion and thermophoresis. A parametric study is performed for different physical parameters, such as magnetic (M), cone angle (m), mixed convection (χ), Brownian motion (Nt), and thermophoresis (Nb), on the velocity, temperature, and nanoparticle concentration profiles. The local Nusselt, Sherwood, and nanoparticle Sherwood number have been laid out in a graphical way. The dependency of the rate of heat and mass transfer on the governing parameters has been discussed.
Issue Section:
Technical Brief
References
1.
Choi
, S. U. S.
, Zhang
, Z. G.
, Yu
, W.
, Lockwood
, F. E.
, and Grulke
, E. A.
, 2001
, “Anomalous Thermal Conductivity Enhancement in Nanotube Suspensions
,” Appl. Phys. Lett.
, 79
(14
), pp. 2252
–2254
.2.
Buongiorno
, J.
, 2006
, “Convective Transport in Nanofluids
,” ASME J. Heat Transfer
, 128
(3
), pp. 240
–250
.3.
Oztop
, H. F.
, and Abu-Nada
, E.
, 2008
, “Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled With Nanofluids
,” Int. J. Heat Fluid Flow
, 29
(5
), pp. 1326
–1336
.4.
Nield
, D. A.
, and Bejan
, A.
, 2006
, Convection in Porous Media
, 3rd ed., Springer-Verlag
, New York
.5.
Bejan
, A.
, Dincer
, I.
, Lorente
, S.
, Miguel
, A. F.
, and Reis
, A. H.
, 2004
, Porous and Complex Flow Structures in Modern Technologies
, Springer-Verlag
, New York
.6.
Vafai
, K.
, ed., 2005
, Handbook of Porous Media
, 2nd ed., Taylor & Francis
, New York
.7.
Yih
, K. A.
, 1999
, “Coupled Heat and Mass Transfer by Free Convection Over a Truncated Cone in Porous Media: VWT/VWC or VHF/VMF
,” Acta Mech.
, 137
(1), pp. 83
–97
.8.
Yih
, K. A.
, 2000
, “Combined Heat and Mass Transfer in Mixed Convection Adjacent to a VWT/VWC or VHF/VMF Cone in a Porous Medium: The Entire Regime
,” J. Porous Media
, 3
(2
), pp. 185
–191
.9.
Rushi Kumar
, B.
, and Sivaraj
, R.
, 2013
, “Heat and Mass Transfer in MHD Viscoelastic Fluid Flow Over a Vertical Cone and Flat Plate With Variable Viscosity
,” Int. J. Heat Mass Transfer
, 56
(1–2), pp. 370
–379
.10.
Kameswaran
, P. K.
, Sibanda
, P.
, Partha
, M. K.
, and Murthy
, P. V. S. N.
, 2014
, “Thermophoretic and Nonlinear Convection in Non-Darcy Porous Medium
,” ASME J. Heat Transfer
, 136
(4
), p. 042601
.11.
Chamkha
, A. J.
, Abbasbandy
, S.
, Rashad
, A. M.
, and Vajravelu
, K.
, 2012
, “Radiation Effects on Mixed Convection About a Cone Embedded in a Porous Medium Filled With a Nanofluid
,” Meccanica
, 48
(2
), pp. 275
–285
.12.
Cheng
, W. T.
, and Lin
, C. H.
, 2007
, “Melting Effect on Mixed Convective Heat Transfer With Aiding and Opposing External Flows From the Vertical Plate in a Liquid Saturated Porous Medium
,” Int. J. Heat Mass Transfer
, 50
(15–16), pp. 3026
–3034
.13.
Yih
, K. A.
, 1998
, “Uniform Lateral Mass Flux Effect on Natural Convection of Non-Newtonian Fluids Over a Cone in Porous Media
,” Int. Commun. Heat Mass Transfer
, 25
(7
), pp. 959
–968
.14.
Cheng
, C.-Y.
, 2011
, “Soret and Dufour Effects on Natural Convection Boundary Layer Flow Over a Vertical Cone in a Porous Medium With Constant Wall Heat and Mass Fluxes
,” Int. Commun. Heat Mass Transfer
, 38
(1
), pp. 44
–48
.15.
Nkurikiyimfura
, I.
, Wang
, Y.
, and Pan
, Z.
, 2013
, “Heat Transfer Enhancement by Magnetic Nanofluids: A Review
,” Renewable Sustainable Energy Rev.
, 21
, pp. 548
–561
.16.
Odenbach
, S.
, 2002
, Magnetoviscous Effects in Ferrofluids
, Springer-Verlag
, Berlin
.17.
Nield
, D. A.
, and Kuznetsov
, A. V.
, 2009
, “The Cheng–Minkowycz Problem for Natural Convective Boundary-Layer Flow in a Porous Medium Saturated by a Nanofluid
,” Int. J. Heat Mass Transfer
, 52
(25–26), pp. 5792
–5795
.18.
Yih
, K. A.
, 1998
, “Uniform Lateral Mass Flux Effect on Natural Convection of Non-Newtonian Fluids Over a Cone in Porous Media
,” Int. Commun. Heat Mass Transfer
, 25
(7
), pp. 959
–968
.19.
Yih
, K. A.
, 1999
, “Mixed Convection About a Cone in a Porous Medium: The Entire Regime
,” Int. Commun. Heat Mass Transfer
, 26
(7
), pp. 1041
–1050
.20.
Kumari
, M.
, and Gorla
, R. S. R.
, 1997
, “Combined Convection Along a Non-Isothermal Wedge in a Porous Medium
,” Heat Mass Transfer
, 32
(5
), pp. 393
–398
.21.
Hsieh
, J. C.
, Chen
, T. S.
, and Armaly
, B. F.
, 1993
, “Mixed Convection Along a Nonisothermal Vertical Flat Plate Embedded in a Porous Medium: The Entire Regime
,” Int. J. Heat Mass Transfer
, 36
(7
), pp. 1819
–1825
.22.
Yih
, K. A.
, 2011
, “Radiation Effect on Mixed Convection Over an Isothermal Cone in Porous Media
,” Heat Mass Transfer
, 37
(1
), pp. 53
–57
.Copyright © 2017 by ASME
You do not currently have access to this content.