Abstract
This work explores the three-dimensional laminar flow of an incompressible second-grade fluid between two parallel infinite plates. The assumed suction velocity comprises a basic steady dispersal with a superimposed weak transversally fluctuating distribution. Because of variation of suction velocity in transverse direction on the wall, the problem turns out to be three-dimensional. Analytic solutions for velocity field, pressure and skin friction are presented and effects of dimensionless parameters emerging in the model are discussed. It is observed that the non-Newtonian parameter plays dynamic part to rheostat the velocity component along main flow direction.
Highlights
In recent years the laminar flow control (LFC) problem has attained significant importance in the field of aeronautical engineering
Many researchers have explored fluid flow problems with suction; the majority of these investigations cope with two-dimensional flows only
Gersten and Gross [2] studied the impact of transverse sinusoidal suction velocity on viscous fluid flow with heat transfer over a porous plane wall
Summary
In recent years the laminar flow control (LFC) problem has attained significant importance in the field of aeronautical engineering. Gersten and Gross [2] studied the impact of transverse sinusoidal suction velocity on viscous fluid flow with heat transfer over a porous plane wall. Three-dimensional viscous fluid flow through infinites parallel planes with injection/suction was studied by Chaudhary et al [4]. Workers [5] explored three-dimensional fluctuating flow of viscous fluid through two parallel infinite plates with heat transfer. Three-dimensional viscous fluid flow between two parallel infinite planes was deliberated with injection/suction by [6]. This study, three-dimensional flow of the second-grade fluid along plane tends to two-dimensional flow [2]; because of varying suction in the sinusoidal injection/suction is inspected. A constant injection or suction velocity at thevelocity plane tends to perpendicular direction plane, the problem becomes three-dimensional. 4 estimatesthe solutions, Section 5 includes the discussion, and Section 6 summarizes the conclusions
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