Boundary layer flow past a stretching/shrinking surface beneath an external uniform shear flow with a convective surface boundary condition in a nanofluid

Nanoscale Research Letters

Volumn 6, Issue 1, 2011, Pages

  Yacob, Nor Azizah ^a   Ishak, Anuar ^b   Pop, Ioan ^c   Vajravelu, Kuppalapalle ^d  

^a UNIVERSITI TEKNOLOGI MARA   (Malaysia)

^b UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

^c BABE BOLYAI UNIVERSITY   (Romania)

^d UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; HEAT CONVECTION; NANOPARTICLES; ORDINARY DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS; SHEAR FLOW; THERMAL CONDUCTIVITY; VOLUME FRACTION; PARTIAL DIFFERENTIAL EQUATIONS; SILVER; SPECIFIC HEAT;

CONVECTIVE PARAMETERS; CONVECTIVE SURFACES; HEAT TRANSFER CHARACTERISTICS; NANOPARTICLE VOLUME FRACTIONS; RUNGE-KUTTA FEHLBERG METHOD; SIMILARITY TRANSFORMATION; STRETCHING/SHRINKING SHEETS; UNIFORM SHEAR FLOW; HEAT TRANSFER RATE; NANO-FLUID; NANOFLUIDS; SHOOTING TECHNIQUE; SURFACE BOUNDARY CONDITIONS;

NANOFLUIDICS;

EID: 82955206048     PISSN: 19317573     EISSN: 1556276X     Source Type: Journal    
DOI: 10.1186/1556-276X-6-314     Document Type: Article

References (42)

1. Blasius H: Grenzschichten in Flussigkeiten mit Kleiner Reibung. Zeitschrift Fur Angewandte Mathematik Und Physik 1908, 56:1-37.
2. Howarth L: On the solution of the laminar boundary layer equations. Proc R Soc Lond A 1938, 164:547-579.
3. Merkin JH: The effect of buoyancy forces on the boundary-layer flow over a semi-infinite vertical flat plate in a uniform free stream. J Fluid Mech 1969, 35:439-450.
4. Bataller RC: Radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition. Appl Math Comput 2008, 206:832-840.
5. Pantokratoras A: Asymptotic suction profiles for the Blasius and Sakiadis flow with constant and variable fluid properties. Arch Appl Mech 2009, 79:469-478.
6. Fang T, Liang W, Lee CF: A new solution branch for the Blasius equation-ashrinkingsheetproblem. Comput Math Appl 2008,56:3088-3095.
7. Sakiadis BC: Boundary-layer behaviour on continuous solid surfaces. I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE J 1961, 7:26-28.
8. Tsou FK, Sparrow EM, Goldstein RJ: Flow and heat transfer in the boundary layer on a continuous moving surface. Int J Heat Mass Transfer 1967,10:219-235.
9. Crane LJ: Flow past a stretching plate. Zeitschrift Für Angewandte Mathematik Und Physik 1970, 21:645-647.
10. Miklavčič M, Wang CY: Viscous flow due to a shrinking sheet. Q Appl Math 2006, 64:283-290.
11. Fang T: Boundary layer flow over a shrinking sheet with power-law velocity. Int J Heat Mass Transfer 2008, 51:5838-5843.
12. Choi SUS: Enhancing thermal conductivity of fluids with nanoparticles. The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA. ASME, FED 231/MD 66 1995, 99-105.
13. Wang X-Q, Mujumdar AS: Heat transfer characteristics of nanofluids: a review. Int J Therm Sci 2007, 46:1-19.
14. Das SK, Choi SUS, Yu W, Pradeep T: Nanofluids: Science and Technology NJ: Wiley; 2007.
15. Khanafer K, Vafai K, Lightstone M: Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int J Heat Mass Transfer 2003, 46:3639-3653.
16. Abu-Nada E: Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step. Int J Heat Fluid Flow 2008, 29:242-249.
17. Tiwari RJ, Das MK: Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transfer 2007, 50:2002-2018.
18. Maïga SEB, Palm SJ, Nguyen CT, Roy G, Galanis N: Heat transfer enhancement by using nanofluids in forced convection flows. Int J Heat Fluid Flow 2005, 26:530-546.
19. Polidori G, Fohanno S, Nguyen CT: A note on heat transfer modelling of newtonian nanofluids in laminar free convection. Int J Therm Sci 2007, 46:739-744.
20. Oztop HF, Abu-Nada E: Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow 2008,29:1326-1336.
21. Nield DA, Kuznetsov AV: The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Transfer 2009, 52:5792-5795.
22. Kuznetsov AV, Nield DA: Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci 2010, 49:243-247.
23. Muthtamilselvan M, Kandaswamy P, Lee J: Heat transfer enhancement of cooper-water nanofluids in a lid-driven enclosure. Commun Nonlinear Sci Numer Simul 2010, 15:1501-1510.
24. Bachok N, Ishak A, Pop I: Boundary-layer flow of nanofluids over a moving surface in a flowing fluid. Int J Therm Sci 2010, 49:1663-1668.
25. Bachok N, Ishak A, Nazar R, Pop I: Flow and heat transfer at a general three-dimensional stagnation point in a nanofluid. Physica B 2010, 405:4914-4918.
26. Yacob NA, Ishak A, Pop I: Falkner-Skan problem for a static or moving wedge in nanofluids. Int J Therm Sci 2011, 50:133-139.
27. Yacob NA, Ishak A, Nazar R, Pop I: Falkner-Skan problem for a static and moving wedge with prescribed surface heat flux in a nanofluid. Nt Commun Heat Mass Transfer 2011, 38:149-153.
28. Buongiorno J: Convective transport in nanofluids. ASME J Heat Transfer 2006,128:240-250.
29. Daungthongsuk W, Wongwises S: A critical review of convective heat transfer nanofluids. Renew Sustain Energy Rev 2007, 11:797-817.
30. Trisaksri V, Wongwises S: Critical review of heat transfer characteristics of nanofluids. Renew Sustain Energy Rev 2007, 11:512-523.
31. Wang X-Q, Mujumdar AS: A review on nanofluids - Part I: theoretical and numerical investigations. Braz J Chem Eng 2008, 25:613-630.
32. Wang X-Q, Mujumdar AS: A review on nanofluids - Part II: experiments and applications. Braz J Chem Eng 2008, 25:631-648.
33. Kakaç S, Pramuanjaroenkij A: Review of convective heat transfer enhancement with nanofluids. Int J Heat Mass Transfer 2009, 52:3187-3196.
34. Merkin JH, Pop I: Conjugate free convection on a vertical surface. Int J Heat Mass Transfer 1996, 39:1527-1534.
35. Merkin JH: Natural-convection boundary-layer flow on a vertical surface with Newtonian heating. Int J Heat Fluid Flow 1994, 15:392-398.
36. Aziz A: A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Commun Nonlinear Sci Numer Simul 2009, 14:1064-1068.
37. Makinde OD, Aziz A: MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition. Int J Therm Sci 2010, 49:1813-1820.
38. Ishak A: Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition. Appl Math Comput 2010, 217:837-842.
39. Magyari E: Comment on 'A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition' by A. Aziz. Commun Nonlinear Sci Numer Simul 2009, 14:1064-1068. Commun Nonlinear Sci Numer Simul 2011, 16:599-601.
40. Yao S, Fang T, Zhong Y: Heat transfer of a generalized stretching/ shrinking wall problem with convective boundary conditions. Commun Nonlinear Sci Numer Simul 2011, 16:752-760.
41. Magyari E, Weidman PD: Heat transfer on a plate beneath an external uniform shear flow. Int J Therm Sci 2006, 45:110-115.
42. Schlichting H, Gersten K: Boundary-Layer Theory New York: Springer; 2000. 43. Abu-Nada E, Oztop HF: Effects of inclination angle on natural convection in enclosures filled with Cu-water nanofluid. Int J Heat Fluid Flow 2009, 30:669-678.