Perpustakaan Digital ITB

The phenomenon of Newtonian and Non-Newtonian flows both in straight and slightly tapered tube is abundant to be found in our surrounding, basically almost all kind of fluids flowing within a rigid pipe is the representation of the flows in straight tube, while the condensation process occurring to the flows in the pipe represents the flows in slightly tapered tube. This final project studies the behavior of two kinds of fluids, which are the Newtonian and the Non-Newtonian, with Power Law as the example of the Non-Newtonian one, each in both straight and slightly tapered tube. For the Newtonian fluid the initial tools for the modeling is the momentum and the continuity equation, that will be analyzed mathematically to find the relation between the pressure drop and the volume flow rate in the straight tube. The case of slightly tapered tube is not much different, only that we should apply the lubrication approximation (magnitude order analysis) to be able to get the reduced form of the momentum and continuity equations, so that we can generalize the characteristic of the velocity of the flow in the tube itself, and in the end we can mathematically analyze the flow rate of the system. Continuing with the Power Law fluid, we perform the similar steps. In the end we can see that actually for each fluid the volume flow rate formula was basically similar to the one in straight tube, only that here we have it multiplied by the taper correction factor due to the change of the tube’s radius.