scholarly journals Soret and Dufour Effects on Unsteady Boundary Layer Flow and Heat Transfer in Copper-Water Nanofluid Over a Shrinking Sheet with Partial Slip and Stability Analysis

2019 ◽  
Vol 8 (7) ◽  
pp. 1601-1608 ◽  
Author(s):  
Nor Fadhilah Dzulkifli ◽  
Norfifah Bachok ◽  
Ioan Pop ◽  
Nor Azizah Yacob ◽  
Norihan Md. Arifin ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stability Analysis ◽  
Boundary Layer Flow ◽  
Partial Slip ◽  
Shrinking Sheet ◽  
Unsteady Boundary Layer ◽  
Soret And Dufour Effects ◽  
Flow And Heat Transfer ◽  
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.  

Unsteady boundary layer flow of nanofluid past a permeable stretching/shrinking sheet with convective heat transfer

2013 ◽  
Vol 228 (7) ◽  
pp. 1175-1184 ◽  
Author(s):  
A Malvandi ◽  
F Hedayati ◽  
DD Ganji ◽  
Y Rostamiyan
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Condition ◽  
Boundary Layer Flow ◽  
Shrinking Sheet ◽  
Convective Heating ◽  
Unsteady Boundary Layer ◽  
Flow And Heat Transfer ◽  
Dimensional Boundary ◽  
Layer Flow

This paper deals with the unsteady two-dimensional boundary layer flow and heat transfer of a nanofluid over a permeable stretching/shrinking sheet in the presence of heat generation/absorption. A convective heating boundary condition instead of a conventional prescribed temperature at the surface was employed to probe the variations of heat and concentration rates for different parameters including unsteadiness parameter, Brownian motion parameter, thermophoresis parameter and suction/injection. Results indicate that a dual solution exists for both stretching and shrinking sheets and that the unsteadiness and suction parameters may widen the ranges of stretching/shrinking parameter where the solution exists. Another noteworthy result is that the variational trend of heat transfer rate with unsteadiness parameter is opposite to the same trend of the prescribed temperature, which states the sensitivity of thermal boundary condition.

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