(Solved): A Newtonian fluid (=5x10-3 Ns/m2, =1.1g/cm3) flows between 2 parallel plates that are separated ...

A Newtonian fluid (?=5x10-3 Ns/m2, ?=1.1g/cm3) flows between 2 parallel plates that are separated by 10mm. A pitot was used to measure the velocity of the flow at various points between the plates; the table below lists the experimental values.

Determine the shear stress distribution in the fluid using 2 approaches: a) Using the tabulated data, use numerical differentiation to determine the shear stress distribution Forward Difference: \( \frac{d f}{d x} \approx \frac{\Delta f}{\Delta x} \approx \frac{f\left(x_{i+1}\right)-f\left(x_{i}\right)}{x_{i+1}-x_{i}} \) b) Using the tabulated data, fit the tabulated data with a \( 2^{\text {nd }} \) order polynomial, and then differentiate the polynomial equation to determine the shear stress values at the values of \( y=0,1,2,3,4,5 \mathrm{~mm} \) c) Where does the maximum shear stress occur?