Next Article in Journal
Experimental Methodology and Facility for the J69-Engine Performance and Emissions Evaluation Using Jet A1 and Biodiesel Blends
Previous Article in Journal
Why PV Modules Should Preferably No Longer Be Oriented to the South in the Near Future
Open AccessArticle

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

1
School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia
2
IICT, University of Sindh, Jamshoro 76080, Pakistan
3
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
*
Author to whom correspondence should be addressed.
Energies 2019, 12(23), 4529; https://doi.org/10.3390/en12234529
Received: 21 September 2019 / Revised: 18 October 2019 / Accepted: 20 October 2019 / Published: 28 November 2019
(This article belongs to the Special Issue Convection Process and Entropy Generation in Different Fluids)
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 . View Full-Text
Keywords: micropolar nanofluid; partial slips; dual solutions; shrinking/stretching surface; shooting method micropolar nanofluid; partial slips; dual solutions; shrinking/stretching surface; shooting method
Show Figures

Figure 1

MDPI and ACS Style

Dero, S.; Rohni, A.M.; Saaban, A.; Khan, I. Dual Solutions and Stability Analysis of Micropolar Nanofluid Flow with Slip Effect on Stretching/Shrinking Surfaces. Energies 2019, 12, 4529.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop