Stagnation point flow of a nanofluid toward an exponentially stretching sheet with nonuniform heat generation/absorption

Journal of Thermodynamics

Volumn 1, Issue 1, 2013, Pages

  Malvandi, A ^a   Hedayati, F ^b   Domairry, G ^c  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

^c BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884235180     PISSN: 16879244     EISSN: 16879252     Source Type: Journal    
DOI: 10.1155/2013/764827     Document Type: Article

References (53)

1. Hiemenz K., Die Grenzschicht an einem in den gleichformingen Flussigkeitsstrom eingetauchten graden Kreiszylinder. Dingler's Polytechnic Journal 1911 326 321 324
2. Homann F., Der Einfluß großer Zähigkeit bei der Strömung um den Zylinder und um die Kugel. Zeitschrift für Angewandte Mathematik und Mechanik 1936 16 3 153 164 10.1002/zamm.19360160304
3. Attia H. A., Homann magnetic flow and heat transfer with uniform suction or injection. Canadian Journal of Physics 2003 81 10 1223 1230 2-s2.0-0346972421 10.1139/p03-061
4. Bhattacharyya K., Vajravelu K., Stagnation-point flow and heat transfer over an exponentially shrinking sheet. Communications in Nonlinear Science and Numerical Simulation 2012 17 7 2728 2734 2-s2.0-84856428088 10.1016/j.cnsns. 2011.11.011
5. Malvandi A., The unsteady flow of a nanofluid in the stagnation point region of a time-dependent rotating sphere. THERMAL SCIENCE 2013 10.2298/TSCI121020079M
6. Kumaran V., Tamizharasi R., Vajravelu K., Approximate analytic solutions of stagnation point flow in a porous medium. Communications in Nonlinear Science and Numerical Simulation 2009 14 6 2677 2688 2-s2.0-58349084695 10.1016/j.cnsns.2008.10.023
7. Hamad M. A. A., Ferdows M., Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: a Lie group analysis. Communications in Nonlinear Science and Numerical Simulation 2012 17 1 132 140 2-s2.0-79961021602 10.1016/j.cnsns.2011.02.024
8. Ziabakhsh Z., Domairry G., Bararnia H., Analytical solution of non-Newtonian micropolar fluid flow with uniform suction/blowing and heat generation. Journal of the Taiwan Institute of Chemical Engineers 2009 40 4 443 451 2-s2.0-67349090383 10.1016/j.jtice.2008.12.005
9. Ziabakhsh Z., Domairry G., Ghazizadeh H. R., Analytical solution of the stagnation-point flow in a porous medium by using the homotopy analysis method. Journal of the Taiwan Institute of Chemical Engineers 2009 40 1 91 97 2-s2.0-58249125914 10.1016/j.jtice.2008.07.002
10. Crane L. J., Flow past a stretching plate. Zeitschrift für Angewandte Mathematik und Physik 1970 21 4 645 647 2-s2.0-33646099212 10.1007/BF01587695
11. Yao S., Fang T., Zhong Y., Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions. Communications in Nonlinear Science and Numerical Simulation 2011 16 2 752 760 2-s2.0-77956060446 10.1016/j.cnsns.2010.05.028
12. Rajagopal K. R., Na T. Y., Gupta A. S., Flow of a viscoelastic fluid over a stretching sheet. Rheologica Acta 1984 23 2 213 215 2-s2.0-0000610314 10.1007/BF01332078
13. Nazar R., Amin N., Filip D., Pop I., Stagnation point flow of a micropolar fluid towards a stretching sheet. International Journal of Non-Linear Mechanics 2004 39 7 1227 1235 2-s2.0-0345170892 10.1016/j.ijnonlinmec.2003.08. 007
14. Hamad M. A. A., Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field. International Communications in Heat and Mass Transfer 2011 38 4 487 492 2-s2.0-79952187821 10.1016/j.icheatmasstransfer.2010.12.042
15. Ziabakhsh Z., Domairry G., Mozaffari M., Mahbobifar M., Analytical solution of heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. Journal of the Taiwan Institute of Chemical Engineers 2010 41 2 169 177 2-s2.0-77249101501 10.1016/j.jtice.2009.08.010
16. Nadeem S., Hussain A., Khan M., HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet. Communications in Nonlinear Science and Numerical Simulation 2010 15 3 475 481 2-s2.0-70349838572 10.1016/j.cnsns.2009.04.037
17. Nandeppanavar M. M., Vajravelu K., Subhas Abel M., Ravi S., Jyoti H., Heat transfer in a liquid film over an unsteady stretching sheet. International Journal of Heat and Mass Transfer 2012 55 4 1316 1324 2-s2.0-82955173103 10.1016/j.ijheatmasstransfer.2011.09.007
18. Malvandi A., Hedayati F., Ganji D. D., Thermodynamic optimization of fluid flow over an isothermal moving plate. Alexandria Engineering Journal 2013 10.1016/j.aej.2013.06.006
19. Singh A. K., Heat source and radiation effects on magneto-convection flow of a viscoelastic fluid past a stretching sheet: analysis with Kummer's functions. International Communications in Heat and Mass Transfer 2008 35 5 637 642 2-s2.0-41649115783 10.1016/j.icheatmasstransfer.2008.01.009
20. Nadeem S., Lee C., Boundary layer flow of nanofluid over an exponentially stretching surface. Nanoscale Research Letters 2012 7, article 94 1 15 2-s2.0-84857748933 10.1186/1556-276X-7-94
21. Nobari M. R. H., Malvandi A., Torsion and curvature effects on fluid flow in a helical annulus. International Journal of Non-Linear Mechanics 2013 57 90 101 10.1016/j.ijnonlinmec.2013.06.014
22. Choi S. U. S., Siginer D. A., Wang H. P., Enhancing thermal conductivity of fluids with nanoparticles. Developments and Applications of Non-Newtonian Flows 1995 ASME 99 105
23. 2 ultra-fine particles. Netsu Bussei 1993 7 4 227 233
24. Buongiorno J., Convective transport in nanofluids. Journal of Heat Transfer 2006 128 3 240 250 2-s2.0-33645634748 10.1115/1.2150834
25. Kuznetsov A. V., Nield D. A., Natural convective boundary-layer flow of a nanofluid past a vertical plate. International Journal of Thermal Sciences 2010 49 2 243 247 2-s2.0-71649085635 10.1016/j.ijthermalsci.2009.07.015
26. Khan W. A., Pop I., Boundary-layer flow of a nanofluid past a stretching sheet. International Journal of Heat and Mass Transfer 2010 53 11-12 2477 2483 2-s2.0-77649341610 10.1016/j.ijheatmasstransfer.2010.01.032
27. Bachok N., Ishak A., Pop I., Boundary-layer flow of nanofluids over a moving surface in a flowing fluid. International Journal of Thermal Sciences 2010 49 9 1663 1668 2-s2.0-77955432252 10.1016/j.ijthermalsci.2010.01.026
28. Alsaedi A., Awais M., Hayat T., Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions. Communications in Nonlinear Science and Numerical Simulation 2012 17 11 4210 4223 2-s2.0-84859053119 10.1016/j.cnsns.2012.03.008
29. Rana P., Bhargava R., Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Communications in Nonlinear Science and Numerical Simulation 2012 17 1 212 226 2-s2.0-79961030069 10.1016/j.cnsns.2011.05.009
30. Daungthongsuk W., Wongwises S., A critical review of convective heat transfer of nanofluids. Renewable and Sustainable Energy Reviews 2007 11 5 797 817 2-s2.0-33751508108 10.1016/j.rser.2005.06.005
31. Wang X.-Q., Mujumdar A. S., Heat transfer characteristics of nanofluids: a review. International Journal of Thermal Sciences 2007 46 1 1 19 2-s2.0-33750694638 10.1016/j.ijthermalsci.2006.06.010
32. Kakaç S., Pramuanjaroenkij A., Review of convective heat transfer enhancement with nanofluids. International Journal of Heat and Mass Transfer 2009 52 13-14 3187 3196 2-s2.0-64749113545 10.1016/j.ijheatmasstransfer.2009.02. 006
33. Liao S., On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation 2004 147 2 499 513 2-s2.0-0141961626 10.1016/S0096-3003(02)00790-7
34. Wu B., Zhong H., Summation of perturbation solutions to nonlinear oscillations. Acta Mechanica 2002 154 1-4 121 127 2-s2.0-0036220655 10.1007/BF01170702
35. Adomian G., A review of the decomposition method in applied mathematics. Journal of Mathematical Analysis and Applications 1988 135 2 501 544 2-s2.0-0041185368
36. He J.-H., Variational iteration method-a kind of non-linear analytical technique: some examples. International Journal of Non-Linear Mechanics 1999 34 4 699 708 2-s2.0-0000092673
37. Hedayati F., Ganji D., Hamidi S., Malvandi A., An analytical study on a model describing heat conduction in rectangular radial fin with temperature-dependent thermal conductivity. International Journal of Thermophysics 2012 33 6 1042 1054
38. Malvandi A., Ganji D. D., Hedayati F., Kaffash M. H., Jamshidi M., Series solution of entropy generation toward an isothermal flat plate. Thermal Science 2012 16 5 1289 1295
39. Liao S., On the relationship between the homotopy analysis method and Euler transform. Communications in Nonlinear Science and Numerical Simulation 2010 15 6 1421 1431 2-s2.0-72049102345 10.1016/j.cnsns.2009.06.008
40. Liao S., Homotopy analysis method: a new analytical technique for nonlinear problems. Communications in Nonlinear Science and Numerical Simulation 1997 2 2 95 100 2-s2.0-0041705865 10.1016/S1007-5704(97)90047-2
41. Liao S.-I., A short review on the homotopy analysis method in fluid mechanics. Journal of Hydrodynamics 2010 22 5 839 841 2-s2.0-78449286810 10.1016/S1001-6058(10)60046-7
42. Domairry D. G., Mohsenzadeh A., Famouri M., The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow. Communications in Nonlinear Science and Numerical Simulation 2009 14 1 85 95 2-s2.0-45249090359 10.1016/j.cnsns.2007.07.009
43. Domairry G., Fazeli M., Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Communications in Nonlinear Science and Numerical Simulation 2009 14 2 489 499 2-s2.0-47749091271 10.1016/j.cnsns.2007.09.007
44. Domairry G., Nadim N., Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation. International Communications in Heat and Mass Transfer 2008 35 1 93 102 2-s2.0-37049028402 10.1016/j.icheatmasstransfer.2007.06.007
45. Liao S.-J., An explicit, totally analytic approximate solution for Blasius' viscous flow problems. International Journal of Non-Linear Mechanics 1999 34 4 759 778 2-s2.0-0000494305
46. Liao S., An optimal homotopy-analysis approach for strongly nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation 2010 15 8 2003 2016 2-s2.0-76049117931 10.1016/j.cnsns.2009.09.002
47. 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. International Journal of Thermal Sciences 2011 50 11 2256 2263 2-s2.0-80051909531 10.1016/j.ijthermalsci.2011.05.015
48. Bachok N., Ishak A., Pop I., On the stagnation-point flow towards a stretching sheet with homogeneous-heterogeneous reactions effects. Communications in Nonlinear Science and Numerical Simulation 2011 16 11 4296 4302 2-s2.0-79957916315 10.1016/j.cnsns.2011.01.008
49. Domairry G., Ziabakhsh Z., Solution of boundary layer flow and heat transfer of an electrically conducting micropolar fluid in a non-Darcian porous medium. Meccanica 2012 47 1 195 202 2-s2.0-84855643360 10.1007/s11012-011-9429-x
50. Joneidi A. A., Domairry G., Babaelahi M., Analytical treatment of MHD free convective flow and mass transfer over a stretching sheet with chemical reaction. Journal of the Taiwan Institute of Chemical Engineers 2010 41 1 35 43 2-s2.0-72149115945 10.1016/j.jtice.2009.05.008
51. 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. Journal of the Taiwan Institute of Chemical Engineers 2010 41 1 22 28 2-s2.0-72149120020 10.1016/j.jtice.2009.04. 011
52. Yabushita K., Yamashita M., Tsuboi K., An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method. Journal of Physics A 2007 40 29 8403 8416 2-s2.0-34547420243 10.1088/1751-8113/40/29/015
53. Niu Z., Wang C., A one-step optimal homotopy analysis method for nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation 2010 15 8 2026 2036 2-s2.0-76049095528 10.1016/j.cnsns. 2009.08.014