Tutorial $3,$ HOMEWORK

Q$1$:

Tutorial $3,$ HOMEWORK

Using the above Fig $2\mathrm{.}4-1,$ the distance between the two parallel plates is $0\mathrm{.}00914m$ and the lower plate is being pulled at a relative velocity of $0\mathrm{.}732\frac{m}{s}$ greater that the top plate. The fluid used is soybean oil with viscosity of $4{10}^{-2}$ Pa$.$s at $303K($Appendix A$\mathrm{.}4).$

a$)$ Calculate the shear stress $$ and the shear rate using $lb$ force, $ft,$ and $s$ units.

b$)$ Repeat, using SI units.

c$)$ If glycerol at $293K$ having a viscosity of $1\mathrm{.}069k\frac{g}{m}.s$ is used instead of soybean oil, what relative velocity in $\frac{m}{s}$ is needed using the same distance between plates so that the same shear stress is obtained as in part $($a$)?$ Also, what is the new shear rate? $y$

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