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A theoretical study of free convective three-dimensional heat and mass transfer flow of a viscoelastic fluid along a steadily moving porous vertical plate in presence of transverse sinusoidal suction velocity distribution, and uniform free stream velocity has been considered. The flow becomes three dimensional due to this suction velocity. The governing equations of the flow field are solved by using series expansion method, and the expressions for velocity field, temperature field, skin friction, heat flux in terms of Nusselt number, and mass flux in terms of Sherwood number are obtained. The effects of the viscoelastic parameter on velocity profiles and shear stress with the combination of the other flow parameters are discussed graphically.

The study of combined heat and mass transfer problems with chemical reaction is of great practical importance to engineers and scientists because of its almost universal occurrence in many branches of science and engineering. Such phenomenon is observed in buoyancy-induced motions in the atmosphere, in bodies of water, quasisolid bodies such as earth, and so on. In nature and industrial applications, many transport processes exist where the heat and mass transfer takes place simultaneously as a result of combined effects of thermal diffusion and diffusion of chemical species. In addition, the phenomenon of heat and mass transfer is also encountered in chemical processes industries such as food processing and polymer production. Soundalgekar and Warve [

Many research workers are doing investigation of the problem of laminar flow control due to its importance in the field of aeronautical engineering, in view of its applications to reduce drag and enhance the vehicle power requirement by a substantial amount. Initially this subject has been developed by Lachmann [

Singh et al. [

The present paper is concerned with the free convective three-dimensional heat and mass transfer flow of visco-elastic incompressible fluid characterized by second-order fluid along a steadily moving porous vertical plate in presence of transverse sinusoidal suction velocity distribution and uniform free stream velocity.

The constitutive equation for the incompressible second-order fluid is

The expression for

A rectangular Cartesian co-ordinate system is introduced such that the plate lies in

The boundary conditions relevant to the problem are

In view of the above nondimensional quantities, the governing equations for heat and mass transfer flow are

The corresponding boundary conditions are

When the amplitude

The corresponding boundary conditions are

Equating the coefficients of

In order to solve (

The corresponding boundary conditions are:

To solve (

Again, substituting

The nondimensional skin friction coefficient

Figures

Various combinations of flow parameters.

Cases | ||||
---|---|---|---|---|

I | 2 | 3 | 3.5 | 0.1 |

II | 5 | 3 | 3.5 | 0.1 |

III | 5 | 5 | 3.5 | 0.1 |

IV | 5 | 5 | 4.5 | 0.1 |

V | 5 | 5 | 4.5 | 0.6 |

Variation of

Variation of

Variation of

Variation of

Variation of

Figures

Variation of

Variation of

Variation of

Figures

Variation of

Variation of

Variation of

It has also been observed that the heat and mass flux at the plate

The present work is an attempt to study the viscoelastic effects on free convective three-dimensional flow along a steadily moving porous vertical plate in presence of transverse sinusoidal suction velocity and uniform free stream velocity. The second-order fluid model for a viscoelastic fluid flow is assumed. The effects of viscoelastic parameter on velocity profile for different