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Article

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

by
Cao Limei
1,
Sun Yina
2,*,
Shen Yanan
1 and
Si Xinhui
1
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.
Math. Comput. Appl. 2015, 20(1), 15-24; https://doi.org/10.3390/mca20010024
Published: 1 April 2015
Versions Notes

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

Share and Cite

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. https://doi.org/10.3390/mca20010024

AMA 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. Mathematical and Computational Applications. 2015; 20(1):15-24. https://doi.org/10.3390/mca20010024

Chicago/Turabian Style

Limei, Cao, Sun Yina, Shen Yanan, and Si Xinhui. 2015. "Dtm-Bf Method for the Flow and Heat Transfer Over a Nonlinearly Stretching Sheet With Nanofluids" Mathematical and Computational Applications 20, no. 1: 15-24. https://doi.org/10.3390/mca20010024

APA Style

Limei, C., Yina, S., Yanan, S., & Xinhui, S. (2015). Dtm-Bf Method for the Flow and Heat Transfer Over a Nonlinearly Stretching Sheet With Nanofluids. Mathematical and Computational Applications, 20(1), 15-24. https://doi.org/10.3390/mca20010024

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