 | Kulkarni, S. B. |
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 | Exact Solutions of an Incompressible Fluid Flow of Second Order by Forced Oscillations on the Porous Boundary
Author : Ramana Murthy, Ch. V.;Kulkarni, S. B.;Singh, B. B.
Source : Defence Science Journal ; Vol:57(2) ; 2007 ; pp 197-209
Subject : 532 Fluid Mechanics;53 Applied Physics
Keywords : Elastico-viscous fluid;Second-order fluid;Retarded history;Porous media;Fluid flow
Abstract : Exact solution of an incompressible fluid of second-order type by causing forced oscillations in the liquid of finite depth bounded by a porous bottom has been obtained. The results presented are in terms of nondimensional elastico-viscosity parameter (b) which depends on the non-Newtonian coefficient and the frequency of excitation (s) of the external disturbance while considering the porosity (K) of the medium. The flow parameters are found to be identical with that of Newtonian case as b ® 0 and K ® ¥. It is seen that the effect of b and the porosity of the bounding surface has significant effect on the velocity parameter. Further, the nature of the paths of the fluid particles have also been studied with reference to b and the porosity of the bounding surface. |
| | Flow of an Elastico-viscous Fluid Past an Infinite Plate with Variable Suction
Author : Murthy, Ch. V. Ramana ;Kulkarni, S. B. ;Singh, B. B.
Source : Defence Science Journal ; Vol:57(4) ; 2007 ; pp 403-410
Subject : 532 Fluid Mechanics;53 Applied Physics
Keywords : Elastico-viscosity;Second-order fluid;Retarded history;Suction parameter
Abstract : Unsteady state flow of an incompressible elastico-viscous fluid of second-order type past an infinite vertical porous flat plate by considering uniform and variable suction normal to the plate has been studied and an exact solution is obtained for the velocity field. In the present situation, only two prescribed boundary conditions are available while the governing equation of motion is of third-order due to the presence of elastico-viscosity parameter. The concept following Walters has been used for a much more meaningful solution. The results for the velocity distribution and skin friction have been analysed and discussed for different values of the parameters encountered in the governing equation of motion and skin friction on the plate. It is found that the effect of elastico-viscosity and suction has significant contribution on the backflow at the wall. |
| | On the Class of Exact Solutions of an Incompressible Second-order Fluid Flow by Creating Sinusoidal Disturbances
Author : Ramana Murthy, Ch. V. ;Kulkarni, S. B.
Source : Defence Science Journal ; Vol:56(5) ; 2006 ; pp 733-742
Subject : 53 Applied Physics;532 Fluid Mechanics
Keywords : Elasticoviscous fluid;Second-order fluid;Retarded history;Porous media;Fluid flow;Heat transfer
Abstract : Exact solution of an incompressible fluid of second-order by causing disturbances in the liquid, which is initially at rest due to bottom oscillating sinusoidally, has been obtained in this study. The results presented are in terms of nondimensional elasticoviscosity parameter (b) which depends on the non-Newtonian coefficient and the frequency of excitation of the external disturbance while considering the porosity (K) of the medium. The flow parameters are found to be identical with that of Newtonian case as b ® 0 and K ® ¥. |
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