Convective heat transfer and MHD effects on Casson nanofluid flow over a shrinking sheet

• Authors: Rizwan Haq , Sohail Nadeem , Zafar Khan , Toyin Okedayo
• Languages of publication: EN

Abstracts

EN

Current study examines the magnetohydrodynamic (MHD) boundary layer flow of a Casson nanofluid over an exponentially permeable shrinking sheet with convective boundary condition. Moreover, we have considered the suction/injection effects on the wall. By applying the appropriate transformations, system of non-linear partial differential equation along with the boundary conditions are transformed to couple non-linear ordinary differential equations. The resulting systems of non-linear ordinary differential equations are solved numerically using Runge-Kutta method. Numerical results for velocity, temperature and nanoparticle volume concentration are presented through graphs for various values of dimensionless parameters. Effects of parameters for heat transfer at wall and nanoparticle volume concentration are also presented through graphs and tables. At the end, fluid flow behavior is examined through stream lines. Concluding remarks are provided for the whole analysis.

Keywords

EN

Casson nanofluid; exponentially shrinking sheet; convective heat transfer; numerical solution

• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 12
• Pages: 862-871

Dates

published

1 - 12 - 2014

online

27 - 8 - 2014

Contributors

author

Rizwan Haq,

author

Sohail Nadeem

• Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

author

Zafar Khan

• Department of Mathematics, University of Malakand, Dir (Lower), Khyber Pakhtunkhwa, Pakistan

author

Toyin Okedayo

• Department of Mathematics, Ondo State University of Science and Technology, Okitipupa, Nigeria

References

• [1] M. V. Ochoa, Ph. D theses, Aug 2006
• [2] S. Nadeem, R. U. Haq, C. Lee, Sci. Iran. 19, 1550 (2012) http://dx.doi.org/10.1016/j.scient.2012.10.021[Crossref]
• [3] S. Nadeem, R. U. Haq, Noreen Sher Akbar, Z.H. Khan, Alex. Eng. J. 52, 577 (2013) http://dx.doi.org/10.1016/j.aej.2013.08.005[Crossref]
• [4] R. Ellahi, A. Riaz, Math. Comp. Mod. 52, 1783 (2010) http://dx.doi.org/10.1016/j.mcm.2010.07.005[Crossref]
• [5] N. S. Akbar, S. Nadeem, R. Ul Haq, Z. H. Khan, Ind. J. Phy. 87, 1121 (2013) http://dx.doi.org/10.1007/s12648-013-0339-8[Crossref]
• [6] Sakiadis BC, J. Amer. Ins. Chem. Eng. 7, 26 (1961) http://dx.doi.org/10.1002/aic.690070108[Crossref]
• [7] Sakiadis BC, J. Amer. Ins. Chem. Eng. 7, 221 (1961) http://dx.doi.org/10.1002/aic.690070211[Crossref]
• [8] F. K. Tsou, E. M. Sparrow, R. J. Goldstein, Inter. J. Heat and Mass Tran. 10, 219 (1967) http://dx.doi.org/10.1016/0017-9310(67)90100-7[Crossref]
• [9] L. Crane, Zeit. für Ange. Math. Phy. 21, 645 (1970) http://dx.doi.org/10.1007/BF01587695[Crossref]
• [10] O. D. Makinde, A. Aziz, Int. J. of Therm. Sci. 49, 1813 (2010) http://dx.doi.org/10.1016/j.ijthermalsci.2010.05.015[Crossref]
• [11] O. D. Makinde, Inter. J. of Phy. Sci. 5, 700 (2010)
• [12] S. Nadeem, S. Zaheer, T. Fang, Num. Alg. 57, 187 (2011) http://dx.doi.org/10.1007/s11075-010-9423-8[Crossref]
• [13] E. Magyari, B. Keller, J Phys D: Appl Phys 32, 577 (1999) http://dx.doi.org/10.1088/0022-3727/32/5/012[Crossref]
• [14] B. Bidin, R. Nazar, Eur J Sci Res. 33, 710 (2009)
• [15] MA. El-Aziz, Can. J. Phys. 87, 359 (2009) http://dx.doi.org/10.1139/P09-047[Crossref]
• [16] A. Ishak, Sai. Malay. 40, 391 (2011)
• [17] X. Q. Wang, A. S. Mujumdar, Int. J. Therm. Sci. 46, 1 (2007) http://dx.doi.org/10.1016/j.ijthermalsci.2006.06.010[Crossref]
• [18] S.U.S. Choi, USA, ASME, FED 231/MD 66, 99 (1995)
• [19] W.A. Khan, I. Pop, Int. J. Heat Mass Tran. 53, 2477 (2010) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.01.032[Crossref]
• [20] O. D. Makinde, A. Aziz, Int. J. Therm. Sci. 50, 1326 (2011) http://dx.doi.org/10.1016/j.ijthermalsci.2011.02.019[Crossref]
• [21] S. Nadeem, C. Lee, Nanosca. Rese. Lett. 94, 7 (2012)
• [22] J. Buongiorno, ASME J. Heat transfer, 128, 240 (2006) http://dx.doi.org/10.1115/1.2150834[Crossref]
• [23] W.A. Khan, A. Aziz, Inter. Jour. Therm. Sci. 50, 1207 (2011) http://dx.doi.org/10.1016/j.ijthermalsci.2011.02.015[Crossref]
• [24] W.A. Khan, A. Aziz, Inter. Jour. Therm. Sci. 50, 2154 (2011) http://dx.doi.org/10.1016/j.ijthermalsci.2011.05.022[Crossref]
• [25] S. Nadeem, R. U. Haq, J. Aero. Eng. 10.1061 (ASCE) AS.1943-5525.0000299
• [26] O. D. Makinde, W. A. Khan, Z. H. Khan, Int. J. Heat Mass Tran. 62, 526 (2013) http://dx.doi.org/10.1016/j.ijheatmasstransfer.2013.03.049[Crossref]
• [27] W. Ibrahim, O. D. Makinde, Comp. Flu. 86, 433 (2013) http://dx.doi.org/10.1016/j.compfluid.2013.07.029[Crossref]
• [28] W. N. Mutuku-Njane, O. D. Makinde, J. Comp. l Theor. Nano Sci. 11, 667 (2014) http://dx.doi.org/10.1166/jctn.2014.3410[Crossref]
• [29] R. U. Haq, Z.H. Khan, W. A. Khan, Phys E: Low-dim. Sys. Nano Str. 63, 215 (2014) http://dx.doi.org/10.1016/j.physe.2014.06.004[Crossref]
• [30] S. Nadeem, R. U. Haq, Zafar Hayat Khan, Alex. Eng. J. 53, 219 (2014) http://dx.doi.org/10.1016/j.aej.2013.11.003[Crossref]
• [31] P. D. Weidman, D. G. Kubitschek, A. M. J. Davis, Int. J. Eng. Sci. 44, 730 (2006) http://dx.doi.org/10.1016/j.ijengsci.2006.04.005[Crossref]
• [32] A. Postelnicu, I. Pop, Appl. Math. Comput. 217, 4359 (2011) http://dx.doi.org/10.1016/j.amc.2010.09.037[Crossref]

Identifiers

DOI

10.2478/s11534-014-0522-3