Natural-convection flow of nanofluids over vertical cone embedded in non-darcy porous media

Journal of Thermophysics and Heat Transfer

Volumn 27, Issue 2, 2013, Pages 334-341

  Noghrehabadi, A ^a   Behseresht, A ^a   Ghalambaz, M ^a   Behseresht, J ^b  

^a SHAHID CHAMRAN UNIVERSITY OF AHVAZ   (Iran)

^b The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; CONES; FINITE DIFFERENCE METHOD; FLOW OF FLUIDS; MASS TRANSFER; NATURAL CONVECTION; ORDINARY DIFFERENTIAL EQUATIONS; POROUS MATERIALS;

CONCENTRATION PROFILES; GOVERNING EQUATIONS; HEAT AND MASS TRANSFER; NATURAL CONVECTION FLOW; NON-DARCY POROUS MEDIA; SIMILARITY SOLUTION; VELOCITY PROFILES; VOLUME FRACTION PROFILE;

NANOFLUIDICS;

EID: 84876361800     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/1.T3965     Document Type: Article

References (27)

1. Das, S. K., Choi, S. U. S., Yu, W., and Pradeep, T., Nanofluids-Science and Technology, Wiley, Hoboken, NJ, 2007, pp. 1-37.
2. Cheng, P., Le, T. T., and Pop, I., "Natural Convection of a Darcian Fluid About a Cone, " Internationl Communications in Heat and Mass Transfer, Vol. 12, No. 6, 1985, pp. 705-717. doi:10.1016/0735-1933(85)90023-5 (Pubitemid 17481291)
3. Nield, D. A., and Bejan, A., Convection in Porous Media, 3rd ed., Springer-Verlag, New York, 2006, pp. 1-13.
4. Yih, K. A., "The Effect of Uniform Lateral Mass Flux on Free Convection About a Vertical Cone Embedded in a Aaturated Porous Media, " International Communications in Heat and Mass Transfer, Vol. 24, No. 8, 1997, pp. 1195-1205. doi:10.1016/S0735-1933(97)00114-0 (Pubitemid 127420927)
5. Yih, K. A., "Radiation Effect on Mixed Convection over an Isothermal Cone in Porous Media, " Journal of Heat and Mass Transfer, Vol. 37, No. 1, 2001, pp. 53-57. doi:10.1007/s002310000132 (Pubitemid 32513705)
6. Grosan, T., Postelnicu, A., and Pop, I., "Free Convection Boundary Layer over a Vertical Cone in a non-Newtonian Fluid Saturated Porous Medium with Internal Heat Generation, " Technische Mechanik, Vol. 14, No. 4, 2004, pp. 91-104.
7. Ramanaiah, G., and Malarvizhi, G., "Free Convection about a Wedge and a Cone Subjected to Mixed Thermal Boundary Conditions, " Acta Mechanica, Vol. 93, Nos. 1-4, 1992, pp. 119-123. doi:10.1007/BF01182577
8. Chamkha, A. J., Bercea, C., and Pop, I., "Free Convection Flow over a Truncated Cone Embedded in a Porous Medium Saturated with Pure or Saline Water at Low Temperatures, " Mechanics Research Communications, Vol. 33, No. 4, 2006, pp. 433-440. doi:10.1016/j.mechrescom.2005.10.001
9. Sohouli, A. R., Domairry, D., Famouri, M., and Mohsenzadeh, A., "Analytical Solution of Natural Convection of Darcian Fluid About a Vertical Full Cone Embedded in Porous Media Prescribed Wall Temperature by Means of HAM, " International Communications in Heat and Mass Transfer, Vol. 35, No. 10, 2008, pp. 1380-1384. doi:10.1016/j.icheatmasstransfer.2008.08.008
10. Cheng, C. Y., "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, " Internationl Communications in Heat and Mass Transfer, Vol. 36, No. 6, 2009, pp. 585-589. doi:10.1016/j.icheatmasstransfer.2009.03.011
11. Cheng, C.Y., "Soret and Dufour Effects on Natural Convection Heat and Mass Transfer from a Vertical Cone in a Porous Medium, " Internationl Communications in Heat and Mass Transfer, Vol. 36, No. 10, 2009, pp. 1020-1024. doi:10.1016/j.icheatmasstransfer.2009.07.003
12. Vasantha, A., Pop, I., and Nath, G., "Non-Darcy Natural Convection over a Slender Vertical Frustum of a Cone in a Saturated Porous Medium, " Internationl Journal of Heat and Mass Transfer, Vol. 29, No. 1, 1986, pp. 153-156. doi:10.1016/0017-9310(86)90043-8 (Pubitemid 16477115)
13. Nakayama, A., and Pop, I., "A Unified Similarity Transformation for Free, Forced and Mixed Convection in Darcy and Non Darcy Porous Media, " Internationl Journal of Heat and Mass Transfer, Vol. 34, No. 2, 1991, pp. 357-367. doi:10.1016/0017-9310(91)90256-E
14. Nakayama, A., Kokudai, T., and Koyama, H., "An Integral Treatment for Non-Darcy Free Convection over a Vertical Flat Plate and Cone Embedded in a Fluid-Saturated Porous Medium, " Warme-undStoffubertragung, Vol. 23, No. 6, 1988, pp. 337-341. doi:10.1007/BF01650469
15. Cheng, C. Y., "Non-Darcy Natural Convection Heat and Mass Transfer from a Vertical Wavy Surface in Saturated Porous Media, " Applied Mathematics and Computation, Vol. 182, No. 2, 2006, pp. 1488-1500. doi:10.1016/j.amc.2006.05.037 (Pubitemid 44838853)
16. Ahmad, S., and Pop, I., "Mixed Convection Boundary Layer Flow from a Vertical Flat Plate Embedded in a Porous Medium Filled with Nanofluids, " International Communications in Heat and Mass Transfer, Vol. 37, No. 8, 2010, pp. 987-991. doi:10.1016/j.icheatmasstransfer.2010.06.004
17. Hady, F. M., Ibrahim, F. S., Abdel Gaied, S. M., and Eid, M. R., "Effect of Heat Generation/Absorption on Natural Convective Boundary-Layer Flow from a Vertical Cone Embedded in a Porous Medium Filled with a non-Newtonian Nanofluid, " International Communications in Heat and Mass Transfer, Vol. 38, No. 10, 2011, pp. 1414-1420. doi:10.1016/j. icheatmasstransfer.2011.07.008
18. Nield, D. A., and Kuznetsov, A. V., "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, Nos. 25-26, 2009, pp. 5792-5795. doi:10.1016/j.ijheatmasstransfer.2009.07.024
19. Gorla, R. S. R., Chamkha, A. J., and Rashad, A. M., "Mixed Convective Boundary Layer Flow over a Vertical Wedge Embedded in a Porous Medium Saturated with a Nanofluid: Natural Convection Dominated Regime, " Nanoscale Research Letters, Vol. 6, No. 1, March 2011, pp. 1-9. doi:10.1186/1556-276X-6-207
20. Rashad, A. M., El-Hakiem, M. A., and Abdou, M. M. M., "Natural Convection Boundary Layer of a non-Newtonian Fluid about a PermeableVertical Cone Embedded in a Porous Medium Saturated with a Nanofluid, " Computers and Mathematics with Applications, Vol. 62, No. 8, 2011, pp. 3140-3151. doi:10.1016/j.camwa.2011.08.027
21. Keller, H. B., "Numerical Solution of Two-Point Boundary Value Problems, " SIAM Regional Conference Series in Applied Mathematics, J. W. Arrowsmith Ltd., Bristol, England, U.K., 1976.
22. Russell, R. D., and Shampine, L. F., "A Collocation Method for Boundary Value Problems, " Numerical Mathematics, Vol. 19, No. 1, 1972, pp. 1-28. doi:10.1007/BF01395926
23. Chamkha, A., Gorla, R. S. R., and Ghodeswar, K., "Non-Similar Solution for Natural Convective Boundary Layer Flow over a Sphere Embedded in a Porous Medium Saturated with a Nanofluid, " Transport in Porous Media, Vol. 86, No. 1, 2011, pp. 13-22. doi:10.1007/s11242-010-9601-0
24. Gorla, R. S. R., and Chamkha, A. J., "Natural Convective Boundary Layer Flow over a Horizontal Plate Embedded in a Porous Medium Saturated with a Nanofluid, " Journal of Modern Physics, Vol. 2, No. 2, 2011, pp. 62-71. doi:10.4236/jmp.2011.22011
25. Cheng, P., Ali, C. L., andVerma, A. K., "An Experimental Study of non-Dacian Effects in Free Convection in a Saturated Porous Medium, " Letters in Heat and Mass Transfer, Vol. 8, No. 4, 1981, pp. 261-265. doi:10.1016/0094-4548(81)90040-0 (Pubitemid 12433780)
26. Buongiorno, J., "Convective Transport in Nanofluids, " Journal of Heat Transfer, Vol. 128, No. 3, 2006, pp. 240-250. doi:10.1115/1.2150834
27. Zheng, F., "Thermophoresis of Spherical and Non-Spherical Particles: A Review of Theories and Experiments, " Advances in Colloid and Interface Science, Vol. 97, Nos. 1-3, 2002, pp. 255-278. doi:10.1016/S0001-8686(01)00067-7 (Pubitemid 34292095)