Wavelet analysis of stagnation point flow of non-Newtonian nanofluid

M. HAMID, M. USMAN, R. U. HAQ, Z. H. KHAN, Wei WANG

doi:10.1007/s10483-019-2508-6

Applied Mathematics and Mechanics >

2019 , Vol. 40 >Issue 8: 1211 - 1226

DOI: https://doi.org/10.1007/s10483-019-2508-6

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Wavelet analysis of stagnation point flow of non-Newtonian nanofluid

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1. School of Mathematical Sciences, Peking University, Beijing 100871, China;
2. BIC-ESAT, College of Engineering, Peking University, Beijing 100871, China;
3. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China;
4. Department of Electrical Engineering, Bahria University, Islamabad 44000, Pakistan;
5. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource & Hydropower, Sichuan University, Chengdu 610065, China;
6. Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education, Tsinghua University, Beijing 100084, China

Received date: 2018-12-07

Revised date: 2019-01-28

Online published: 2019-08-01

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 51709191, 51706149, and 51606130), the Key Laboratory of Advanced Reactor Engineering and Safety, Ministry of Education of China (No. ARES-2018-10), and the State Key Laboratory of Hydraulics and Mountain River Engineering of Sichuan University of China (No. Skhl1803)

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Abstract

The wavelet approach is introduced to study the influence of the natural convection stagnation point flow of the Williamson fluid in the presence of thermophysical and Brownian motion effects. The thermal radiation effects are considered along a permeable stretching surface. The nonlinear problem is simulated numerically by using a novel algorithm based upon the Chebyshev wavelets. It is noticed that the velocity of the Williamson fluid increases for assisting flow cases while decreases for opposing flow cases when the unsteadiness and suction parameters increase, and the magnetic effect on the velocity increases for opposing flow cases while decreases for assisting flow cases. When the thermal radiation parameter, the Dufour number, and Williamson's fluid parameter increase, the temperature increases for both assisting and opposing flow cases. Meanwhile, the temperature decreases when the Prandtl number increases. The concentration decreases when the Soret parameter increases, while increases when the Schmidt number increases. It is perceived that the assisting force decreases more than the opposing force. The findings endorse the credibility of the proposed algorithm, and could be extended to other nonlinear problems with complex nature.

Key words： Brusselator; limit cycle; asymptotic solution; heat and mass transfer; Williamson nanofluid; Chebyshev wavelet method; assisting and opposing flow; stagnation point flow

Cite this article

M. HAMID, M. USMAN, R. U. HAQ, Z. H. KHAN, Wei WANG . Wavelet analysis of stagnation point flow of non-Newtonian nanofluid[J]. Applied Mathematics and Mechanics, 2019 , 40(8) : 1211 -1226 . DOI: 10.1007/s10483-019-2508-6

References

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