Problem #4: An incompressible fluid flows in a cylindrical tube of diameter D. The fluid type is Bingham plastic with a yield stress t, and a plastic viscosity n 1. Use a momentum balance to find the shear stress distribution and the velocity distribution within the flow. x 2. Sketch all possible velocity distributions that are resulted from different magnitudes of t. 3. Flowing pressure drop along the tube is also known as the friction loss. For the same volumetric flow rate, determine the ratio of friction loss for a Bingham plastic to the friction loss for a Newtonian fluid that has the same viscosity. Express the friction loss ratio in terms of D and to. Velocity distribution Flug flow I region with us Howrentun flux