2. (35 points) It is a common practice when examining a fluid's viscous behavior to plot the shear strain rate (velocity gradient) dv dy on the abscissa versus shear stress (t) on the ordinate. When a fluid has a straight-line behavior between these two variables it is called a Newtonian fluid, and the resulting relationship is I = M where is the fluid viscosity. Many common fluids follow this behavior such as water, milk, and oil. Fluids that do not behave in this way are called non-Newtonian. Some examples of non-Newtonian fluids are shown in the figure below. Bingham Pseudoplastic Newtonian Shear strain ( For Bingham plastics, there is a yield stress ty that must be overcome before flow will begin, T = Ty + Shear stress (1) A common example is toothpaste. For pseudoplastics, the shear stress is raised to the power n, = my no Common examples are yogurt and shampoo. The following data shows the relationship between the shear stress and the shear strain rate y for a 0.5% hydroxethylcellulose in water solution, which is a pseudoplastic fluid. Find the values of and no without using MATLAB. 90 110 130 Shear strain rate y, 1/s 50 Stress T, N/m + 70 7.48 8.59 6.01 9.19 10.21