• INFLUENCE OF CRITICAL PARAMETERS ON THE FLOW RATE OF AN INCOMPRESSIBLE FLUID OF SECOND ORDER TYPE BY CREATING SINUSOIDAL DISTURBANCES ON THE BOUNDARY

Abstract

Influence of critical parameters on the flow rate of an incompressible fluid of second order type by creating sinusoidal disturbances on the boundary has been examined in this paper. The behaviour of flow rate when bounding surface is initially at rest and then oscillating sinusoidally has been studied in greater detail with respect to various flow entities such as  Coefficient of Viscosity , Angle of inclination ,Time , Porosity  and Frequency of excitation . It is observed that, as visco elasticity increases, the flow rate increases initially and thereafter it decreases. It is noticed that, the profiles for the flow rate are parabolic and as time increases (either  varies  is fixed and vice-versa), they are found to be linear over a period of time. Further, it is observed that, as the pore size of the boundary increases, the flow rate decreases. Also, at times due to visco elasticity and cross viscosity terms, a back flow is observed. It is noticed that, as the angle of inclinationincreases, the flow rate also increases. It is seen that, the relation is directly proportional to each other. Due to the sinusoidal oscillations of the bounding surface, the flow rate is also found to be sinusoidal. For a fixed time, it is noticed that, as the porosity increases, there is a backward flow and subsequently the flow rate is found to be in the forward direction. Therefore, it is concluded that, the rate of flow does not merely dependent on any single parameters, but depends on several parameters. Visco elasticitycontributes partially for backward and forward flow, while the angle of inclination contributes solely for forward motion. However, sinusoidal movement contributes for both.