Soret and Dufour Effects on Unsteady Boundary Layer Flow and Heat Transfer of Nanofluid Over a Stretching/Shrinking Sheet: A Stability Analysis

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

Journal of Physics Conference Series ◽

10.1088/1742-6596/890/1/012046 ◽

2017 ◽

Vol 890 ◽

pp. 012046 ◽

Cited By ~ 1

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

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

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406213503259 ◽

2013 ◽

Vol 228 (7) ◽

pp. 1175-1184 ◽

Cited By ~ 18

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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