Dual Solutions and Stability Analysis of Micropolar Nanofluid Flow with Slip Effect on Stretching/Shrinking Surfaces

Sumera Dero, Azizah Mohd Rohni, Azizan Saaban and Ilyas Khan
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Sumera Dero: School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia
Azizah Mohd Rohni: School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia
Azizan Saaban: School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia
Ilyas Khan: Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam

Energies, 2019, vol. 12, issue 23, 1-20

Abstract: The purpose of the present paper is to investigate the micropolar nanofluid flow on permeable stretching and shrinking surfaces with the velocity, thermal and concentration slip effects. Furthermore, the thermal radiation effect has also been considered. Boundary layer momentum, angular velocity, heat and mass transfer equations are converted to non-linear ordinary differential equations (ODEs). Then, the obtained ODEs are solved by applying the shooting method and in the results, the dual solutions are obtained in the certain ranges of pertinent parameters in both cases of shrinking and stretching surfaces. Due to the presence of the dual solutions, stability analysis is done and it was found that the first solution is stable and physically feasible. The results are also compared with previously published literature and found to be in excellent agreement. Moreover, the obtained results reveal the angular velocity increases in the first solution when the value of micropolar parameter increases. The velocity of nanofluid flow decreases in the first solution as the velocity slip parameter increases, whereas the temperature profiles increase in both solutions when thermal radiation, Brownian motion and the thermophoresis parameters are increased. Concentration profile increases by increasing N t and decreases by increasing N b .

Keywords: micropolar nanofluid; partial slips; dual solutions; shrinking/stretching surface; shooting method (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
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