HW$.$ Using Figure $1,$ the lower plate is being pulled at a relative velocity of $0\mathrm{.}40\frac{m}{s}$ The fluid used is water at $24C$

a$.$ How far the two plates should be placed so that the shear stress $r$ is $0\mathrm{.}30\frac{N}{m^2}.$ Also calculate the shear rate.

b$.$ If oil with a viscosity of $2{10}^{-2}Pa.$s is used at the same plate spacing and velocity as in part $($a$),$ what is the shear stress and the shear rate?

HW$.$ Methyl Ethyl Ketone $($MEK$)$ flows through a $2\mathrm{.}5$ in$.$ ID pipe at $20C,$ at which temperature its density is $0\mathrm{.}805\frac{g}{c}{m}^3$ and its viscosity is $0\mathrm{.}43$ centipoise $k\frac{g}{m}.s)$ the average fluid velocity is $0\mathrm{.}05f\frac{t}{s}.$ Determine whether the flow is laminar or turbulent.

$6$ HW$.$ A hydrocarbon liquid enters a simple flow system shown in Fig. $3$ at an average velocity of $1\mathrm{.}282\frac{m}{s},$ where $A_1=4\mathrm{.}33{10}^{-3}{m}^2$ and $=902k\frac{g}{m^3}.$ The liquid is heated in the process and the exit density is $875k\frac{g}{m^3}.$ The cross$-$ sectional area at point $2$ is $5\mathrm{.}26{10}^{-3}{m}^2.$ The process is steady state.

a$.$ Calculate the mass flow rate $(m)$ at the exit and the entrance.

b$.$ Calculate the average velocity $G$ in $1.$