Main Article Content
In the present study, the convective flow and heat transfer of an incompressible viscous nanofluid past a semi-infinite vertical stretching sheet in the presence of a magnetic field are investigated. The governing partial differential equations with the auxiliary conditions are reduced to ordinary differential equations with the appropriate corresponding conditions via scaling transformations. The semianalytical solutions of the resulting ordinary differential equations are obtained using differential transformation method coupled with Pade approximation. Comparison with published results is presented which reveals that the applied method is sufficiently accurate for engineering applications.
Authors retain copyright of the published article and have the right to use the article in the ways permitted to third parties under the - Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence. Full bibliographic information (authors, article title, journal title, volume, issue, pages) about the original publication must be provided and a link must be made to the article's DOI.
The authors and third parties who wish use the article in a way not covered by the the -Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence must obtain a written consent of the publisher. This license allows others to download the paper and share it with others as long as they credit the journal, but they cannot change it in any way or use it commercially.
Authors grant to the publisher the right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.
 Ghasemi, B., Aminossadati, S. M., Natural Convection Heat Transfer in an Inclined Enclosure Filled with a Water-Cuo Nanofluid, Numer. Heat Transfer; Part A: Applications, 55 (2009), 8, pp. 807-823
 Ho, C. J., Chen, M. W., Li, Z. W., Numerical Simulation of Natural Convection of Nanofluid in a Square Enclosure: Effects Due to Uncertainties of Viscosity and Thermal Conductivity, Int. J. Heat Mss Transfer, 51 (2008), 17-18, pp. 4506-4516
 Ho, C. J., Chen, M. W., Li, Z. W., Effect of Natural Convection Heat Transfer of Nanofluid in an Enclosure Due to Uncertainties of Viscosity and Thermal Conductivity, Proc. ASME/JSME Thermal Engng. Summer Heat Transfer Conf. – HT, 1, 2007, pp. 833-841
 Zhou, J. K., Differential Transform and Its Application for Electrical Circuits. Huarjung University Press, Wuhan, China, 1986
 Jang, M. J., Chen, C. L., Liu, Y. C., Analysis of the Response of a Strongly Nonlinear Damped System using a Differential Transformation Technique, Applied Mathematics and Computation 88 (1997), 2-3, pp. 137-151
 Odibat, Z., Momani, S., Approximate Solutions for Boundary Value Problems of Time-Fractional Wave Equation, Applied Mathematics and Computation, 181 (2006), 1, pp. 1351-1358
 Kachapi, S. H., Ganji, D. D., Nonlinear Equations: Analytical Methods and Applications, Springer, 2012
 Ganji, D. D., A Semi-Analytical Technique for non-Linear Settling Particle Equation of Motion, Journal of Hydro-environment Research, doi:10.1016/j.jher.2012.04.002
 Khaki, M., Taeibi-Rahni, M., Ganji, D. D., Analytical Solution of Electro-Osmotic Flow in Rectangular Nano-Channels by Combined Sine Transform and MHPM, Journal of Electrostatics, 70 (2012), 5, pp. 451-456
 Oztop, H. F., Abu-Nada, E., Numerical Study of Natural Convection in partially Heated Rectangular Enclosures Filled with Nanofluids, Int. J. Heat Fluid Flow, 29 (2008), 5, pp. 1326-1336
 Aminossadati, S. M., Ghasemi, B., Natural Convection Cooling of a Localized Heat Source at the Bottom of a Nanofluid-Filled Enclosure, European J. Mech. B/Fluids, 28 (2009), 5, pp. 630-640
 Ibrahim, F. S., Mansour, M. A., Hamad, M. A. A., Lie-Group Analysis of Radiation and Magnetic Field Effects on Free Convection and Mass Transfer Flow past a Semiinfinite Vertical Flat Plate, Elect. J. of Diff. Eqns., 2005 (2005), 39, pp. 1-17
 Mukhopadhyay, S., Layek, G. C., Samad, S. A., Study of MHD Boundary Layer Flow over a Heated Stretching Sheet with Variable Viscosity, Int. J. Heat Mass Transfer, 48 (2005), 21-22, pp. 4460-4466
 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, 38 (2011), 4, pp. 487-492
 Rashidi, M. M., Laraqi, N., Sadri, S. M., A Novel Analytical Solution of Mixed Convection about an Inclined Flat Plate Embedded in a Porous Medium Using the DTM-Pade, International Journal of Thermal Sciences, 49 (2010), 12, pp. 2405-2412
 He, J.-H., Homotopy Perturbation Method with an Auxiliary Term, Abstract and Applied Analysis, 2012 (2012), DOI:10.1155/2012/857612 , pp. 1-7
 Ganji, D. D., Rahimi, M., Rahgoshay, M., Determining the Fin Efficiency of Convective Straight Fins with Temperature Dependent Thermal Conductivity by Using Homotopy Perturbation Method, International Journal of Numerical Methods for Heat & Fluid Flow, 22 (2012) pp. 263-272
 Hedayati, et al., An Analytical Study on a Model Describing Heat Conduction in Rectangular Radial Fin with Temperature-Dependent Thermal Conductivity, International Journal of Thermophysics, 33 (2012), 6, pp. 1042-1054
 Sheikholeslami, M., Ganji. D. D., Ashorynejad, H. R., et al., Analytical Investigation of Jeffery-Hamel Flow with high Magnetic Field and Nanoparticle by Adomian Decomposition Method, Applied Mathematics and Mechanics, 33 (2012), pp. 25-36