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Research Papers: Natural and Mixed Convection

Influence of Uniform Blowing/Suction on the Free Convection of Non-Newtonian Fluids Over a Vertical Cone in Porous Media With Thermal Radiation and Soret/Dufour Effects: Uniform Wall Temperature/Uniform Wall Concentration

[+] Author and Article Information
Chuo-Jeng Huang

Assistant Professor
Department of Aircraft Engineering,
Air Force Institute of Technology
at Taiwan (R.O.C.),
No.1, Julun Rd.,
Gangshan Dist.,
Kaohsiung City 82063, Taiwan
e-mail: hcj631216@yahoo.com.tw

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 26, 2016; final manuscript received October 14, 2016; published online December 7, 2016. Assoc. Editor: Karthik Mukundakrishnan.

J. Heat Transfer 139(3), 032501 (Dec 07, 2016) (8 pages) Paper No: HT-16-1230; doi: 10.1115/1.4035041 History: Received April 26, 2016; Revised October 14, 2016

This work studies numerically the combined heat and mass transfer of uniform blowing/suction, non-Newtonian power-law fluid, and thermal radiation effects on free convection adjacent to a vertical cone within a porous medium in the presence of Soret/Dufour effects. The surface of the vertical cone has a uniform wall temperature and uniform wall concentration (UWT/UWC). The Rosseland diffusion approximation is employed to describe the radiative heat flux. A nonsimilarity analysis is performed, and the transformed governing equations are solved by Keller box method (KBM). The effects of these major parameters of the Dufour parameter, Soret parameter, Lewis number, buoyancy ratio, power-law index of the non-Newtonian fluids, blowing/suction parameter, and thermal radiation parameter on the heat and mass transfer characteristics have been carried out. In general, for the case of blowing, both the local Nusselt number and the local Sherwood number decrease. This trend reversed for suction of fluid. The physical aspects of the problem are discussed in detail.

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References

Nield, D. A. , and Bejan, A. , 2013, Convection in Porous Media, Springer-Verlag, New York.
Shenoy, A. V. , 1994, “ Non-Newtonian fluid Heat Transfer in Porous Media,” Adv. Heat Transfer, 24, pp. 101–190.
Chen, H. T. , and Chen, C. K. , 1988, “ Free Convection Flow of Non-Newtonian Fluids Along a Vertical Plate Embedded in a Porous Medium,” ASME J. Heat Transfer, 110(1), pp. 257–260. [CrossRef]
Yang, Y. T. , and Wang, S. J. , 1996, “ Free Convection Heat Transfer of Non-Newtonian Fluids Over Axisymmetric and Two-Dimensional Bodies of Arbitrary Shape Embedded in a Fluid-Saturated Porous Medium,” Int. J. Heat Mass Transfer, 39(1), pp. 203–210. [CrossRef]
Kumari, M. , and Jayanthi, S. , 2004, “ Non-Darcy Non-Newtonian Free Convection Flow Over a Horizontal Cylinder in a Saturated porous medium,” Int. Commun. Heat Mass Transfer, 31(8), pp. 1219–1226. [CrossRef]
Cheng, C. Y. , 2009, “ Natural Convection Heat Transfer of Non-Newtonian Fluids in Porous Media From a Vertical Cone Under Mixed Thermal Boundary Conditions,” Int. Commun. Heat Mass Transfer, 36(7), pp. 693–697. [CrossRef]
Rastogi, S. K. , and Poulikakos, D. , 1995, “ Double-Diffusion From a Vertical Surface in a Porous Region Saturated With a Non-Newtonian Fluid,” Int. J. Heat Mass Transfer, 38(5), pp. 935–946. [CrossRef]
EL-Kabeir, S. M. M. , EL-Hakiem, M. A. , and Rashad, A. M. , 2008, “ Group Method Analysis of Combined Heat and Mass Transfer by MHD Non-Darcy Non-Newtonian Natural Convection Adjacent to Horizontal Cylinder in a Saturated Porous Medium,” Appl. Math. Model., 32(11), pp. 2378–2395. [CrossRef]
Cheng, C. Y. , 2009, “ Natural Convection Heat and Mass Transfer From a Vertical Truncated Cone in a Porous Medium Saturated With a Non-Newtonian Fluid With Variable Wall Temperature and Concentration,” Int. Commun. Heat Mass Transfer, 36(6), pp. 585–589. [CrossRef]
Kairi, R. R. , and Murthy, P. V. S. N. , 2011, “ Effect of Viscous Dissipation on Natural Convection Heat and Mass Transfer From Vertical Cone in a Non-Newtonian Fluid Saturated Non-Darcy Porous Medium,” Appl. Math. Comput., 217(20), pp. 8100–8114.
Kairi, R. R. , and RamReddy, Ch. , 2014, “ Solutal Dispersion and Viscous Dissipation Effects on Non-Darcy Free Convection Over a Cone in Power-Law Fluids,” Heat Transfer–Asian Research, 43(5), pp. 476–488. [CrossRef]
Yih, K. A. , and Huang, C. J. , 2015, “ Effect of Internal Heat Generation on Free Convection Heat and Mass Transfer of Non-Newtonian Fluids Flow Over a Vertical Plate in Porous Media: VWT/VWC,” J. Aeronaut. Astronaut. Aviat., Ser. A, 47(2), pp. 115–122.
Postelnicu, A. , 2004, “ Influence of a Magnetic Field on Heat and Mass Transfer by Natural Convection From Vertical Surfaces in Porous Media Considering Soret and Dufour Effects,” Int. J. Heat Mass Transfer, 47(6–7), pp. 1467–1472. [CrossRef]
Mansour, A. , Amahmid, A. , Hasnaoui, M. , and Bourich, M. , 2006, “ Multiplicity of Solutions Induced by Thermosolutal Convection in a Square Porous Cavity Heated From Below and Submitted to Horizontal Concentration Gradient in the Presence of Soret Effect,” Numer. Heat Transfer A Appl., 49(1), pp. 69–94. [CrossRef]
Partha, M. K. , Murthy, P. V. S. N. , and Raja Sekhar, G. P. , 2006, “ Soret and Dufour Effects in a Non-Darcy Porous Medium,” ASME J. Heat Transfer, 128(6), pp. 605–610. [CrossRef]
Lakshmi Narayana, P. A. , 2007, “ Soret and Dufour Effects on Free Convection Heat and Mass Transfer in a Doubly Stratified Darcy Porous Medium,” J. Porous Media, 10(6), pp. 613–624. [CrossRef]
Cheng, C. Y. , 2009, “ Soret and Dufour Effects on Natural Convection Heat and Mass Transfer From a Vertical Cone in a Porous Medium,” Int. Commun. Heat Mass Transfer, 36(10), pp. 1020–1024. [CrossRef]
Raptis, A. , 1998, “ Radiation and Free Convection Flow Through a Porous Medium,” Int. Commun. Heat Mass Transfer, 25(2), pp. 289–295. [CrossRef]
Badruddin, I. A. , Zainal, Z. A. , Aswatha Narayana, P. A. , Seetharamu, K. N. , and Siew, L. W. , 2006, “ Free Convection and Radiation for a Vertical Wall With Varying Temperature Embedded in a Porous Medium,” Int. J. Therm. Sci., 45(5), pp. 487–493. [CrossRef]
Mahmoud, M. A. A. , 2012, “ Radiation Effect on Free Convection of a Non-Newtonian Fluid Over a Vertical Cone Embedded in a Porous Medium With Heat Generation,” J. Appl. Mech. Tech. Phys., 53(5), pp. 743–750. [CrossRef]
Moradi, A. , Ahmadikia, H. , Hayat, T. , and Alsaedi, A. , 2013, “ On Mixed Convection-Radiation Interaction About an Inclined Plate Through a Porous Medium,” Int. J. Therm. Sci., 64, pp. 129–136. [CrossRef]
Tai, B. C. , and Char, M. I. , 2010, “ Soret and Dufour Effects on Free Convection Flow of Non-Newtonian Fluids Along a Vertical Plate Embedded in a Porous Medium With Thermal Radiation,” Int. Commun. Heat Mass Transfer, 37(5), pp. 480–483. [CrossRef]
Minkowycz, W. J. , and Cheng, P. , 1982, “ Local Non-Similar Solutions for Free Convective Flow With Uniform Lateral Mass Flux in Porous Medium,” Lett. Heat Mass Transfer, 9(3), pp. 159–168. [CrossRef]
Yih, K. A. , 1997, “ The Effect of Uniform Lateral Mass Flux on Free Convection About a Vertical Cone Embedded in a Saturated Porous Medium,” Int. Commun. Heat Mass Transfer, 24(8), pp. 1195–1205. [CrossRef]
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. [CrossRef]
Chamkha, A. J. , and Ben-Nakhi, A. , 2008, “ MHD Mixed Convection–Radiation Interaction Along a Permeable Surface Immersed in a Porous Medium in the Presence of Soret and Dufour's Effects,” Heat Mass Transfer, 44, pp. 846–856.
Kumari, M. , and Nath, G. , 2009, “ Natural Convection From a Vertical Cone in a Porous Medium Due to the Combined Effects of Heat and Mass Diffusion With Non-Uniform Wall Temperature/Concentration or Heat/Mass Flux and Suction/Injection,” Int. J. Heat Mass Transfer, 52(13–14), pp. 3064–3069. [CrossRef]
Rashad, A. M. , EL-Hakiem, M. A. , and Abdou, M. M. M. , 2011, “ Natural Convection Boundary Layer of a Non-Newtonian Fluid About a Permeable Vertical Cone Embedded in a Porous Medium Saturated With a Nanofluid,” Comput. Math. Appl., 62(8), pp. 3140–3151. [CrossRef]
Yih, K. A. , 2012, “ Uniform Blowing/Suction and Soret/Dufour Effects on Heat and Mass Transfer by Natural Convection About a Vertical Cone in Porous Media: UWT/UWC,” J. Air Force Inst. Technol., Taiwan, 11(1), pp. 109–120.
Huang, C. J. , 2016, “ Lateral Mass Flux and Thermal Radiation on Natural Convection Heat and Mass Transfer From a Vertical Flat Plate in Porous Media Considering Soret/Dufour Effects,” J. King Saud Univ. Sci. (in press).
Christopher, R. V. , and Middleman, S. , 1965, “ Power-Law Flow Through a Packed Tube,” Ind. Eng. Chem. Fundam., 4(4), pp. 424–426. [CrossRef]
Dharmadhirkari, R. V. , and Kale, D. D. , 1985, “ Flow of Non-Newtonian Fluids Through Porous Media,” Chem. Eng. Sci., 40(3), pp. 527–529. [CrossRef]
Cebeci, T. , and Bradshaw, P. , 1984, Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlag, New York.

Figures

Grahic Jump Location
Fig. 1

The flow model and the physical coordinate system

Grahic Jump Location
Fig. 2

(a) The dimensionless temperature profile and (b) the dimensionless concentration profile for three values of the blowing/suction parameter ξ

Grahic Jump Location
Fig. 3

(a) The dimensionless temperature profile and (b) the dimensionless concentration profile for three values of the non-Newtonian fluid power-law index n

Grahic Jump Location
Fig. 4

(a) The dimensionless temperature profile and (b) the dimensionless concentration profile for three values of the thermal radiation parameter Rd

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