scholarly journals Stability analysis of boundary layer flow and heat transfer over a permeable exponentially shrinking sheet in the presence of thermal radiation and partial slip

2017 ◽  
Vol 890 ◽  
pp. 012046 ◽  
Author(s):  
N S M Adnan ◽  
N M Arifin
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stability Analysis ◽  
Thermal Radiation ◽  
Boundary Layer Flow ◽  
Partial Slip ◽  
Shrinking Sheet ◽  
Flow And Heat Transfer ◽  
Exponentially Shrinking Sheet ◽  
Layer Flow

scholarly journals Effects of Second-Order Slip and Viscous Dissipation on the Analysis of the Boundary Layer Flow and Heat Transfer Characteristics of a Casson Fluid

2016 ◽  
Vol 21 (1) ◽  
pp. 48 ◽  
Author(s):  
Mohammad M. Rahman ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stability Analysis ◽  
Boundary Layer Flow ◽  
Casson Fluid ◽  
Shrinking Sheet ◽  
Solution Branch ◽  
Heat Transfer Characteristics ◽  
Flow And Heat Transfer ◽  
Layer Flow

The aim of the present study is to analyze numerically the steady boundary layer flow and heat transfer characteristics of Casson fluid with variable temperature and viscous dissipation past a permeable shrinking sheet with second order slip velocity. Using appropriate similarity transformations, the basic nonlinear partial differential equations have been transformed into ordinary differential equations. These equations have been solved numerically for different values of the governing parameters namely: shrinking parametersuction parameterCasson parameterfirst order slip parametersecond order slip parameter  Prandtl number  and the Eckert number  using the bvp4c function from MATLAB. A stability analysis has also been performed. Numerical results have been obtained for the reduced skin-friction, heat transfer and the velocity and temperature profiles. The results indicate that dual solutions exist for the shrinking surface for certain values of the parameter space. The stability analysis indicates that the lower solution branch is unstable, while the upper solution branch is stable and physically realizable. In addition, it is shown that for a viscous fluida very good agreement exists between the present numerical results and those reported in the open literature. The present results are original and new for the boundary-layer flow and heat transfer past a shrinking sheet in a Casson fluid. Therefore, this study has importance for researchers working in the area of non-Newtonian fluids, in order for them to become familiar with the flow behavior and properties of such fluids.  

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