Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet

Powder Technology

Volumn 253, Issue , 2014, Pages 377-384

  Malvandi, A ^a   Hedayati, F ^b   Ganji, D D ^c  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

^c BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Multiple solutions; Nanofluid; Similarity solution; Stretching sheet; Unsteady stagnation point flow

Indexed keywords

MULTIPLE SOLUTIONS; NANOFLUIDS; SIMILARITY SOLUTION; STAGNATION-POINT FLOW; STRETCHING SHEET;

ALUMINA; PARTIAL DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS; SPECIFIC HEAT;

NANOFLUIDICS;

ALUMINUM OXIDE; COPPER; NANOPARTICLE; TITANIUM DIOXIDE;

ANALYTICAL PARAMETERS; ARTICLE; CONTINUITY EFFECT; ENERGY; HEAT TRANSFER; INTERMETHOD COMPARISON; LIQUID; MOMENTUM; NANOFLUIDICS; PHYSICAL PARAMETERS; SLIP EFFECT; SOLID; STAGNATION POINT FLOW; VISCOSITY;

EID: 84890832364     PISSN: 00325910     EISSN: 1873328X     Source Type: Journal    
DOI: 10.1016/j.powtec.2013.11.049     Document Type: Article

References (56)

1. Hiemenz K. Die Grenzschicht an Einem in den Gleichformingen Flussigkeitsstrom Eingetauchten Geraden Kreiszylinder. Dingler. Polytech. J. 1911, 326.
2. Homann F., Angew Z. Der Einfluss Grosser Zahighkeit bei der Stromung um den Zylinder und um die KugelVol. Math. Mech. 1936, 16:11.
3. Attia H.A. Homann magnetic flow and heat transfer with uniform suction or injection. Can. J. Phys. 2003, 81:7.
4. Massoudi M., Ramezan M. Boundary layers heat transfer analysis of a viscoelastic fluid at a stagnation point. ASME HTD 1990, 130:5.
5. Massoudi M., Ramezan M. Heat transfer analysis of a viscoelastic fluid at a stagnation point. Mech. Res. Commun. 1992, 19:5.
6. Grag V.k. Heat transfer due to stagnation point flow of a non-Newtonian fluid. Acta Mech. 1994, 104:12.
7. Malvandi A. The unsteady flow of a nanofluid in the stagnation point region of a time-dependent rotating sphere. Therm. Sci. 2013, 79-79.
8. Takhar H.S., Chamkha A.J., Nath G. Unsteady axisymmetric stagnation-point flow of a viscous fluid on a cylinder. Int. J. Eng. Sci. 1999, 37:1943-1957.
9. Eswara A.T., Nath G. Effect of large injection rates on unsteady mixed convection flow at a three-dimensional stagnation point. Int. J. Non Linear Mech. 1999, 34:85-103.
10. Kumari M., Nath G. Unsteady flow and heat transfer of a viscous fluid in the stagnation region of a three-dimensional body with a magnetic field. Int. J. Eng. Sci. 2002, 40:411-432.
11. Bhattacharyya K., Vajravelu K. Stagnation-point flow and heat transfer over an exponentially shrinking sheet. Commun. Nonlinear Sci. Numer. Simul. 2012, 17:2728-2734.
12. Fang T., Lee C.-f.F., Zhang J. The boundary layers of an unsteady incompressible stagnation-point flow with mass transfer. Int. J. Non Linear Mech. 2011, 46:942-948.
13. Crane L.J. Flow past a stretching plate. ZAMP 1970, 21:2.
14. Carragher P., Crane L.J. Heat transfer on a continuous stretching sheet. ZAMM 1982, 62.
15. Dutta B.K., Roy P., Gupta A.S. Temperature field in flow over a stretching sheet with uniform heat flux. Int. Commun. Heat Mass Transfer 1985, 12:89.
16. Mahapatra T.R., Gupta A.S. Stagnation-point flow towards a stretching surface. Can. J. Chem. Eng. 2003, 81:258-263.
17. Rajagopal K.R., Na T.Y., Gupta A.S. Flow of a visco-elastic fluid over a stretching sheet. Rheol. Acta 1984, 23.
18. Nazar R., Amin N., Filip D., Pop I. Stagnation point flow of a micropolar fluid towards a stretching sheet. Int. J. Non Linear Mech. 2004, 39:8.
19. Bararnia H., Ghasemi E., Domairry G., Soleimani S. Behavior of micro-polar flow due to linear stretching of porous sheet with injection and suction. Adv. Eng. Softw. 2010, 41:893-897.
20. Ziabakhsh Z., Domairry G., Mozaffari M., Mahbobifar M. Analytical solution of heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. J. Taiwan Inst. Chem. Eng. 2010, 41:169-177.
21. Ziabakhsh Z., Domairry G., Bararnia H., Babazadeh H. Analytical solution of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium. J. Taiwan Inst. Chem. Eng. 2010, 41:22-28.
22. Malvandi A., Hedayati F., Ganji D.D. Thermodynamic optimization of fluid flow over an isothermal moving plate. Alex. Eng. J. 2013, 52(3):277-283.
23. Hassani M., Mohammad Tabar M., Nemati H., Domairry G., Noori F. An analytical solution for boundary layer flow of a nanofluid past a stretching sheet. Int. J. Therm. Sci. 2011, 50:2256-2263.
24. Jalil M., Asghar S. Flow of power-law fluid over a stretching surface: a lie group analysis. Int. J. Non Linear Mech. 2013, 48:65-71.
25. Mandal I.C., Mukhopadhyay S. Heat transfer analysis for fluid flow over an exponentially stretching porous sheet with surface heat flux in porous medium. Ain Shams Eng. J. 2013, 4:103-110.
26. Nandy S.K., Mahapatra T.R. Effects of slip and heat generation/absorption on MHD stagnation flow of nanofluid past a stretching/shrinking surface with convective boundary conditions. Int. J. Heat Mass Transf. 2013, 64:1091-1100.
27. Nobari M.R.H., Malvandi A. Torsion and curvature effects on fluid flow in a helical annulus. Int. J. Non Linear Mech. 2013, 57:90-101.
28. Ko G.H., Heo K., Lee K., Kim D.S., Kim C., Sohn Y., Choi M. An experimental study on the pressure drop of nanofluids containing carbon nanotubes in a horizontal tube. Int. J. Heat Mass Transf. 2007, 50:4749-4753.
29. Jalaal M., Ganji D.D., Ahmadi G. Analytical investigation on acceleration motion of a vertically falling spherical particle in incompressible Newtonian media. Adv. Powder Technol. 2010, 21:298-304.
30. Jalaal M., Ganji D.D. On unsteady rolling motion of spheres in inclined tubes filled with incompressible Newtonian fluids. Adv. Powder Technol. 2011, 22:58-67.
31. Hamidi S.M., Rostamiyan Y., Ganji D.D., Fereidoon A. A novel and developed approximation for motion of a spherical solid particle in plane coquette fluid flow. Adv. Powder Technol. 2013, 24:714-720.
32. Sun C., Lu W.-Q., Liu J., Bai B. Molecular dynamics simulation of nanofluid's effective thermal conductivity in high-shear-rate Couette flow. Int. J. Heat Mass Transf. 2011, 54:2560-2567.
33. Maxwell J.C. Treatise on Electricity and Magnetism 1904, Oxford University Press, London.
34. Hamilton R.L., Crosser O.K. Thermal conductivity of heterogeneous two component systems. Ind. Eng. Chem. Fundam. 1962, 1:9.
35. Wang B.-X., Zhou L.-P., Peng X.-F. A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles. Int. J. Heat Mass Transf. 2003, 46:2665-2672.
36. Tiwari R.K., Das M.K. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int. J. Heat Mass Transf. 2007, 50:2002-2018.
37. Bachok N., Ishak A., Pop I. Unsteady boundary-layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet. Int. J. Heat Mass Transf. 2012, 55:2102-2109.
38. Sheikholeslami M., Gorji-Bandpy M., Ganji D.D., Soleimani S. Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu-water nanofluid using CVFEM. Advanced Powder Technology 2013, 24(6):980-991.
39. Alinia M., Ganji D.D., Gorji-Bandpy M. Numerical study of mixed convection in an inclined two sided lid driven cavity filled with nanofluid using two-phase mixture model. Int. Commun. Heat Mass Transfer 2011, 38:1428-1435.
40. Soleimani S., Sheikholeslami M., Ganji D.D., Gorji-Bandpay M. Natural convection heat transfer in a nanofluid filled semi-annulus enclosure. Int. Commun. Heat Mass Transfer 2012, 39:565-574.
41. Sheikholeslami M., Gorji-Bandpay M., Ganji D.D. Magnetic field effects on natural convection around a horizontal circular cylinder inside a square enclosure filled with nanofluid. Int. Commun. Heat Mass Transfer 2012, 39:978-986.
42. Sheikholeslami M., Gorji-Bandpy M., Ganji D.D., Soleimani S., Seyyedi S.M. Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field. Int. Commun. Heat Mass Transfer 2012, 39:1435-1443.
43. Sheikholeslami M., Ganji D.D., Ashorynejad H.R. Investigation of squeezing unsteady nanofluid flow using ADM. Powder Technol. 2013, 239:259-265.
44. Sheikholeslami M., Ganji D.D. Heat transfer of Cu-water nanofluid flow between parallel plates. Powder Technol. 2013, 235:873-879.
45. 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.
46. Kuznetsov A.V., Nield D.A. Natural convective boundary layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci. 2010, 49:4.
47. Khan W.A., Pop I. Boundary-layer flow of a nanofluid past a stretching sheet. Int. J. Heat Mass Transf. 2010, 53:2477-2483.
48. Bachok N., Ishak A., Nazar R., Pop I. Flow and heat transfer at a general three-dimensional stagnation point in a nanofluid. Phys. B Condens. Matter 2010, 405:4914-4918.
49. Bachok N., Ishak A., Pop I. Stagnation-point flow over a stretching/shrinking sheet in a nanofluid. Nanoscale Res. Lett. 2011, 6.
50. Bachok N., Ishak A., Pop I. On the stagnation-point flow towards a stretching sheet with homogeneous-heterogeneous reactions effects. Commun. Nonlinear Sci. Numer. Simul. 2011, 16:4296-4302.
51. Oztop H.F., 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.
52. Bachok N., Ishak A., Pop I. The boundary layers of an unsteady stagnation-point flow in a nanofluid. International Journal of Heat and Mass Transfer 2012, 55(23-24):6499-6505.
53. Khanafer K., Vafai K., Lightstone M. Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int. J. Heat Mass Transf. 2003, 46:3639-3653.
54. Merkin J.H. On dual solutions occurring in mixed convection in a porous medium. J. Eng. Math. 1986, 20:171-179.
55. Weidman P.D., Kubitschek D.G., Davis A.M.J. The effect of transpiration on self-similar boundary layer flow over moving surfaces. Int. J. Eng. Sci. 2006, 44:730-737.
56. Postelnicu A., Pop I. Falkner-Skan boundary layer flow of a power-law fluid past a stretching wedge. Appl. Math. Comput. 2011, 217:4359-4368.