• ANALYSIS OF EFFECT OF TIME ON THE FLOW RATE OF AN INCOMPRESSIBLE FLUID OF SECOND ORDER TYPE WHEN THE BOUNDING SURFACE IS SUBJECTED TO SINUSOIDAL DISTURBANCES

Abstract

In this paper the effect of time on the flow rate when the bounding surface is subjected to sinusoidal disturbances has been studied. The fluid under the consideration is of second order. When the angle of inclination of the fluid bed is increased, the flow rate is found to be periodic in its nature over a period of time. Further, it is noticed that, for constant angle of inclination, as the visco elasticity of the fluid is increased, still the periodic nature of flow rate is preserved. An interesting phenomenon that can be attributed for the above is due to the strong intra molecular forces in the fluid medium. Further, when the time parameter is constant and as the porosity of the fluid bed is increased, for a constant time, a decreasing trend in the flow rate is noticed. However, the graphical and analytical results illustrate an interesting phenomenon. Also, for a constant visco elasticity of the fluid and for a fixed angle of inclination and porosity, as the frequency of excitation of the fluid bed is increases, the flow rate is found to be sinusoidal. And at times, the back flow is also noticed and this is due to strong intra molecular forces in the fluid medium. Further, as the frequency of excitation increases, in general the flow rate increases. All such observations are illustrated graphically.