 | Laplace transform technique |
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 | Unsteady Flow Between Two Oscillating Plates
Author : Khan, Abdul Aleem
Source : Defence Science Journal ; Vol:19(2) ; 1969 ; pp 139-142
Subject : 532 Fluid Mechanics
Keywords : Laplace transform technique ;Infinite plates
Abstract : The flow of a viscous liquid between two harmonically oscillating infinite plates has been analysed when a body forces is applied at t=0, in the direction of motion of the plates. An expression for the velocity distribution has been obtained by the use of Laplace-transform technique. |
| | Natural Convection in Unsteady Couette Motion
Author : Singh, A.K.
Source : Defence Science Journal ; Vol:38(1) ; 1988 ; pp 35-41
Subject : 532.542 Fluid Dynamics
Keywords : Free convective flow;Laplace transform technique;Skin friction
Abstract : Unsteady free convective flow of an incompressible viscous fluid between two vertical parallel plates is considered for impulsive start of one of the plates. Expressions for velocity and temperature fields and their related quantities are obtained by the Laplace transform technique. The effect of Grashof number is to increase the velocity of both air and water and to decrease the skin-friction of these fluids. |
| | Unsteady Temperature Distribution for Laminar Flow in a Porous Straight Channel
Author : Gaur, Y.N.
Source : Defence Science Journal ; Vol:22(1) ; 1972 ; pp 5-8
Subject : 532.542 Fluid Dynamics
Keywords : Oscillating function ;Laplace transform technique;Incompressible fluid flowing
Abstract : Temperature distribution in a viscous incompressible fluid flowing between two parallel porous flat plates has been investigated when the lower plate is injecting the fluid while the upper one is sucking it with the same rate. Viscous dissipation has been neglected and the rate of heat generation per unit volume per unit time has been taken to be a function of time. Laplace transform technique has been used to obtain an expression for the temperature distribution. Taking the rate of heat generation as an oscillating function of time, numerical work has been done to demonstrate the effects of the variation of the cross-flow velocity on the temperature distribution. |
| | A Note on the Temperature Distribution in a Porous Annulus
Author : Gaur, Y.N.
Source : Defence Science Journal ; Vol:26(2) ; 1976 ; pp 93-96
Subject : 532.542 Fluid Dynamics
Keywords : Viscous fluid;Laplace transform technique
Abstract : Unsteady temperature distribution for flow of an incompressible viscous fluid in a porous annulus has been investigated under the assumption that the rate of injection of the fluid at the inner cylinder is equal to the rate of suction of the fluid at the outer one. Viscous dissipation has been neglected while rate of heat generation in the fluid has been accounted for. An expression for the temperature distribution has been obtained using Laplace transform technique and taking the temperatures of the boundaries to be functions of time. |
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