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Math. Comput. Appl. 2015, 20(1), 15-24; doi:10.3390/mca20010024

Dtm-Bf Method for the Flow and Heat Transfer Over a Nonlinearly Stretching Sheet With Nanofluids

1
Department of Mathematics, University of Science and Technology Beijing, China, 100083
2
Chaoyang Demonstration School in Beijing People’s Republic of China, 100013
*
Author to whom correspondence should be addressed.
Published: 1 April 2015
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Abstract

This paper investigates an analytical analysis for the flow and heat transfer in a viscous fluid over a nonlinear stretching sheet. The governing partial differential equations are transformed into coupled nonlinear differential equations by introducing a siφmilarity transformation. The asymptotic analytical solutions are obtained by using differential transform method-basic functions (DTM-BF). Four types of nanofluids, namely Cu-water, Ag-water, Al2O3 -water and TiO2 -water were studied. The influence of the nanoparticle volume fraction φ, the nonlinear stretching parameter n , Prandtl number Pr, Eckert number Ec and different nanoparticles on the velocity and temperature are discussed and shown graphically. The comparison with the numerical results is presented and it is found to be in excellent agreement.
Keywords: heat and mass transfer; asymptotic expansion; volume fraction influence; nanoparticle reaction heat and mass transfer; asymptotic expansion; volume fraction influence; nanoparticle reaction
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Limei, C.; Yina, S.; Yanan, S.; Xinhui, S. Dtm-Bf Method for the Flow and Heat Transfer Over a Nonlinearly Stretching Sheet With Nanofluids. Math. Comput. Appl. 2015, 20, 15-24.

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