In this paper, viscous flow and heat transfer over an unsteady stretching surface is investigated with slip conditions. A system of non-linear partial differential equations is derived and transformed to ordinary differential equations with help of similarity transformations. Numerical computations are carried out for different values of the parameters involved and the analysis of the results obtained shows that the flow field is influenced appreciably by the unsteadiness, and the velocity slip parameter. With increasing values of the unsteadiness parameter, fluid velocity and the temperature are found to decrease in both the presence and absence of slip at the boundary. Fluid velocity decreases due to increasing values of the velocity slip parameter resulting in an increase in the temperature field. Skin-friction decreases with the velocity slip parameter whereas it increases with unsteadiness parameter. The rate of heat transfer decreases with the velocity slip parameter while increases with unsteadiness parameter. Same feature is also noticed for thermal slip parameter.
Heat Transfer Velocity Slip Slip Parameter Slip Factor Thermal Slip
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.
One of the authors (S.M.) gratefully acknowledges the financial support of Department of Science and Technology, Delhi, India through BOYSCAST Fellowship for pursuing this work.
Elbashbeshy EMA (1998) Heat transfer over a stretching surface with variable surface heat flux. J Phys D Appl Phys 31:1951–1954CrossRefGoogle Scholar
Gupta PS, Gupta AS (1977) Heat and mass transfer on a stretching sheet with suction or blowing. Can J Chem Eng 55:744–746CrossRefGoogle Scholar
Cortell R (2005) Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dyn Res 37:231–245zbMATHCrossRefGoogle Scholar
Wang CY (2002) Flow due to a stretching boundary with partial slip—an exact solution of the Navier–Stokes equations. Chem Eng Sci 57:3745–3747CrossRefGoogle Scholar
Abbas Z, Wang Y, Hayat T, Oberlack M (2009) Slip effects and heat transfer analysis in a viscous fluid over an oscillatory stretching surface. Int J Numer Meth Fluids 59:443–458zbMATHCrossRefMathSciNetGoogle Scholar
Andersson HI, Aarseth JB, Dandapat BS (2000) Heat transfer in a liquid film on an unsteady stretching surface. Int J Heat Mass Transf 43:69–74zbMATHCrossRefGoogle Scholar
Grubka LJ, Bobba KM (1985) Heat transfer characteristics of a continuous stretching surface with variable temperature. ASME J Heat Transf 107:248–250CrossRefGoogle Scholar
Chen CH (1998) Laminar mixed convection adjacent to a vertical continuously stretching sheet. Heat Mass Transf 33:471–476CrossRefGoogle Scholar