Boundary Layer Flow Past a Stretching Surface in a Porous Medium Saturated by a Nanofluid: Brinkman-Forchheimer Model

PLoS ONE

Volumn 7, Issue 10, 2012, Pages

  Khan, Waqar A ^a   Pop, Ioan M ^b  

^a NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

NANOFLUID; NANOPARTICLE; UNCLASSIFIED DRUG;

ARTICLE; CONCENTRATION (PARAMETERS); CULTURE MEDIUM; FLOW KINETICS; HEAT TRANSFER; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; POROUS MEDIUM; SURFACE PROPERTY; TEMPERATURE; THERMODYNAMICS; VELOCITY;

COMPUTER SIMULATION; CONVECTION; HOT TEMPERATURE; HYDRODYNAMICS; MODELS, CHEMICAL; PERMEABILITY; POROSITY; SURFACE PROPERTIES; VISCOSITY;

EID: 84867562452     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0047031     Document Type: Article

References (43)

1. Pop I, Ingham DB (2001) Convective Heat Transfer. Mathematical and Computational Modeling of Viscous Fluids and Porous Media Pergamon, Oxford.
2. Ingham DB, Pop I (eds.) (2005) Transport Phenomena in Porous Media III. Elsevier, Oxford.
3. Nield DA, Bejan A (2006) Convection in Porous Media (3rd ed.). Springer New York.
4. Vafai K (2005) Handbook of Porous Media (2nd ed.). Taylor & Francis, New York.
5. Vafai K (2010) Porous Media: Applications in Biological Systems and Biotechnology. CRC Press.
6. Vadasz P (2008) Emerging Topics in Heat and Mass Transfer in Porous Media. Springer, New York.
7. Crane LJ, (1970) Flow past a stretching plate. J. Appl. Math. Phys. (ZAMP) 21: 645-647.
8. Elbashbeshy EMA, Bazid MAA, (2004) Heat transfer in a porous medium over a stretching surface with internal heat generation and suction or injection. Appl. Math. Comp. 158: 799-807.
9. Cortell R, (2005) Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dyn Res 37: 231-245.
10. Pantokratoras A, (2009) Flow adjacent to a stretching permeable sheet in a Darcy-Brinkman porous medium. Transp. Porous Med. 80: 223-227.
11. Tamayol A, Hooman K, Bahrami M, (2010) Thermal analysis of flow in a porous medium over a permeable stretching wall. Transp. Porous Med. 85: 661-676.
12. Fang T, Zhang J, (2011) Note on the heat transfer of flows over a stretching wall in porous media: exact solutions. Transp. Porous Med. 86: 579-584.
13. Kaviany M, (1987) Boundary-layer treatment of forced convection heat transfer from a semi-infinite flat plate embedded in porous media. ASME J. Heat Transfer 109: 345-349.
14. Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticles. Proc. 1995 ASME Int. Mech. Engng. Congress and Exposition 66 (1995), San Franciscos, USA, ASME, FED 231/MD, 99-105.
15. Eastman JA, Choi SUS, Li S, Yu W, Thompson LJ, (2001) Anomalously increased effective thermal conductivities of ethylene glycol- based nanofluids containing copper nanoparticles. Applied Physics Letter 78: 718-720.
16. Putra N, Roetzel W, Das SK, (2003) Natural convection of nanofluids. Heat Mass Transfer 39: 775-784.
17. Wen D, Ding Y, (2005) Formulation of nanofluids for natural convective heat transfer applications. Int. J. Heat Fluid Flow 26: 855-864.
18. Ho CJ, Chen MW, Li ZW, (2008) Numerical simulation of natural convection of nanofluid in a square enclosure: effects due to uncertainties of viscosity and thermal conductivity. Int. J. Heat Mass Transfer 51: 4506-4516.
19. Abu-Nada E, (2009) Effects of variable viscosity and thermal conductivity of Al2O3-water nanofluid on heat transfer enhancement in natural convection. Int. J. Heat Fluid Flow 30: 679-690.
20. Buongiorno J, (2006) Convective transport in nanofluids. ASME J. Heat Transfer 128: 240-250.
21. Khanafer K, Vafai K, Lightstone M, (2003) Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int. J. Heat Mass Transfer 46: 3639-3653.
22. Maïga SEB, Nguyen CT, Galanis N, Roy G, (2004) Heat transfer behaviours of nanofluids in a uniformly heated tube. Superlattices & Microstructures 35: 543-557.
23. Tiwari RK, Das MK, (2007) Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int. J. Heat Mass Transfer 50: 2002-2018.
24. Oztop HF, Abu-Nada E, (2008) Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int. J. Heat Fluid Flow 29: 1326-1336.
25. Muthtamilselvan M, Kandaswamy P, Lee J, (2010) Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure. Comm. Nonlinear. Sci. Numer. Simulat. 15: 1501-1510.
26. Ghasemi B, Aminossadati SM, (2010) Mixed convection in a lid-driven triangular enclosure filled with nanofluids. Int. Comm. Heat Mass Transfer 37: 1142-1148.
27. Popa CV, Fohanno S, Nguyen CT, Polidori G, (2010) On heat transfer in external natural convection flows using two nanofluids. Int. J. Thermal Sci. 49: 901-908.
28. Das SK, Choi SUS, Yu W, Pradet T (2007) Nanofluids: Science and Technology. Wiley, New Jersey.
29. Daungthongsuk W, Wongwises S, (2007) A critical review of convective heat transfer nanofluids. Renew. Sust. Eng. Rev. 11: 797-817.
30. Wang XQ, Mujumdar AS, (2008) A review on nanofluids - Part I: theoretical and numerical investigations. Brazilian J. Chem. Engng. 25: 613-630.
31. Wang XQ, Mujumdar AS, (2008) A review on nanofluids - Part II: experiments and applications. Brazilian J. Chem. Engng. 25: 631-648.
32. Kakaç S, Pramuanjaroenkij A, (2009) Review of convective heat transfer enhancement with nanofluids. Int. J. Heat Mass Transfer 52: 3187-3196.
33. Nield DA, Kuznetsov AV, (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: 5792-5795.
34. Cheng P, Minkowycz WJ, (1977) Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike. J. Geophys. Res. 82: 2040-2044.
35. Kuznetsov AV, Nield DA, (2010) Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Thermal Sci. 49: 243-247.
36. Khan WA, Pop I, (2010) Boundary-layer flow of a nanofluid past a stretching sheet. Int. J. Heat Mass Transfer 53: 2477-2483.
37. Bachok N, Ishak A, Pop I, (2010) Boundary-layer flow of nanofluids over a moving surface in a flowing fluid, Int. J. Thermal Sci. 49: 1663-1668.
38. Ahmad S, Pop I, (2010) Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids. Int. Comm. Heat Mass Transfer 37: 987-991.
39. Kuznetsov AV, Nield DA, (2010) Thermal instability in a porous medium layer saturated by a nanofluid: Brinkman model. Transp. Porous Med. 81: 409-422 (2010).
40. Vafai K, Tien CL, (1981) Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Transfer 24: 195-203.
41. Hong JT, Yamada Y, Tien CL, (1987) Effects of non-Darcian and nonuniform porosity on vertical-plate natural convection in porous media. ASME J. Heat Transfer 109: 356-362.
42. Lauriat G, Prasad V, (1987) Natural convection in a vertical porous cavity: a numerical study for Brinkman-extended Darcy formulation. ASME J. Heat Transfer 109: 688-696.
43. Nakayama A (1995) PC-Aided Numerical Heat Transfer and Convective Flow. CRC Press, Tokyo.