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 .
Highlights
The boundary flow and heat transfer phenomena of all types of fluids have remained of great interest for many researchers, especially for purpose of the practical implementation.Originally, fluids are classified into Newtonian and non-Newtonian fluids
The numerical solutions indicate the occurrence of dual solutions in the micropolar nanofluid flow problem for all profiles
The steady steadytwo-dimensional two-dimensional laminar boundary of micropolar nanofluid over a shrinking/stretching surface has been studied with the effects of thermal radiation and slip parameters
Summary
The boundary flow and heat transfer phenomena of all types of fluids have remained of great interest for many researchers, especially for purpose of the practical implementation.Originally, fluids are classified into Newtonian and non-Newtonian fluids. The boundary flow and heat transfer phenomena of all types of fluids have remained of great interest for many researchers, especially for purpose of the practical implementation. There are many mathematical models for various constitutive equations that deal with flow phenomena with different parameters. Among such models, the micropolar fluid model is one of the non-Newtonian models introduced by Eringen [1]. The micropolar fluid model is one of the non-Newtonian models introduced by Eringen [1] This model deals with the flow of the micropolar fluids, whereas some examples of the micropolar fluids are liquid crystals with rigid molecules, suspensions or colloidal solutions, some biological fluids, exocytic lubricants and the blood of the animals, etc. With development of nanotechnology, in the field of fluid mechanics, Choi and Eastman [2] introduced a new kind of modern fluid that could suspend the solid nanoparticles
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