CHARACTERISTIC BEHAVIOUR OF INCLINATION OF THE FLUID BED ON THE SKIN FRICTION OF AN INCOMPRESSIBLE FLUID OF SECOND ORDER WHEN THE FLUID BED IS SUBJECTED TO SINUSOIDAL DISTURBANCES

Abstract

In this paper the effect of slope of the fluid bed with respect to various other fluid parameters such as visco elasticity, porosity, frequency of excitation and time on the behaviour of skin friction has been analyzed. When the angle of inclination is held constant and when , it is noticed that, the skin friction increases and when a reverse trend is observed. Also, when the frequency of excitation increases, the skin friction increases and when , the effect is found to be in the opposite direction. An interesting phenomenon is that, when the angle of inclination is increased, the skin friction remains constant till and thereafter it decreases. Also, irrespective of the visco elasticity of the fluid, the skin friction increases linearly with respect to the angle of inclination of the plate. However, for a fixed angle of inclination, as the visco elasticity of the fluid increases, the skin friction increases. Therefore, it can be concluded that, the participating parameters in the skin friction shows the significant effect on the skin friction. The skin friction is found to be linear (either positive or negative) depending upon time. Further, as the frequency of excitation increases, the skin friction is also on rise. Also, the angle of inclination does not show any effect as the porosity is varied and later shows significant effect. Further, the skin friction is directly proportional to the angle of inclination even when the density of the fluid is varied. The effects of all the above parameters on the skin friction have been presented graphically.

Keywords: Porous media, second order fluid, Visco elasticity, Frequency of excitation, angle of inclination and Skin friction.