Wavelet analysis of stagnation point flow of non-Newtonian nanofluid

被引:42
作者
Hamid, M. [1 ]
Usman, M. [2 ,3 ]
Haq, R. U. [4 ]
Khan, Z. H. [5 ,6 ]
Wang, Wei [1 ]
机构
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] Peking Univ, Coll Engn, BIC ESAT, Beijing 100871, Peoples R China
[3] Peking Univ, Dept Mech & Engn Sci, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China
[4] Bahria Univ, Dept Elect Engn, Islamabad 44000, Pakistan
[5] Sichuan Univ, Coll Water Resource & Hydropower, State Key Lab Hydraul & Mt River Engn, Chengdu 610065, Sichuan, Peoples R China
[6] Tsinghua Univ, Minist Educ, Key Lab Adv Reactor Engn & Safety, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
Williamson nanofluid; heat and mass transfer; stagnation point flow; assisting and opposing flow; Chebyshev wavelet method; HEAT-TRANSFER; STRETCHING SURFACE; THERMAL-RADIATION; NUMERICAL-SIMULATION; TRANSPORT; VISCOSITY; FLUID; FORCE; SORET; SLIP;
D O I
10.1007/s10483-019-2508-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:1211 / 1226
页数:16
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