Similarity Solutions of Unsteady Mixed Convective Boundary Layer Flow of Viscous Incompressible Fluid along Isothermal Horizontal Plate

Mohammed Nasir  Uddin; Md. Yeakub  Ali; N. M. Ridwan  Zahed; Md. Jashim  Uddin

doi:10.4236/ojfd.2016.64022

Mohammed Nasir Uddin¹, Md. Yeakub Ali¹^*, N. M. Ridwan Zahed¹, Md. Jashim Uddin^1,2

Abstract: Unsteady mixed convective boundary layer flow of viscous incompressible fluid along isothermal horizontal plate is analyzed through Similarity Solutions. The governing partial differential equations are transformed into ordinary differential equations using the similarity transformation and solved numerically along with shooting technique. The flow field for the fluid velocity, temperature and concentration at the plate surface are significantly influenced by the governing parameters such as unsteadiness parameter, permeability parameter, Prandtl number, Schmidt number and the other driving parameters. The results show that both fluid velocity and temperature decrease but no significant effect on concentration for the increasing values of Prandtl number. It is also exposed that velocity and concentration is higher at lower Schmidt number for low Prandtl fluid. Finally, the dependency of the Skin-friction co-efficient, Nusselt number and Sherwood number, which are of physical interest, are also illustrated in tabular form for the governing parameters.

Keywords: Similarity Solution, Unsteady Flow, Mixed Convection, Boundary Layer Flow, Horizontal Plate, Incompressible Fluid

Cite this paper: Uddin, M. , Ali, M. , Zahed, N. , Uddin, M. (2016) Similarity Solutions of Unsteady Mixed Convective Boundary Layer Flow of Viscous Incompressible Fluid along Isothermal Horizontal Plate. Open Journal of Fluid Dynamics, 6, 279-302. doi: 10.4236/ojfd.2016.64022.

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