$)$ Consider simple Couette flow with viscous dissipation. The temperature of the walls is given as $25$C and the speed of the moving wall is $5$ m$/$s$.$ The distance between the walls is $0\mathrm{.}4$ m$.$ For this situation, $$ is given as $1$ and the Prandlt number is $2.$ a$.$ Plot the local temperature between the gap of the two walls. b$.$ Find the maximum temperature and its location. $2)$ Consider simple Couette flow with viscous dissipation. The temperature of the walls is given as $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and the speed of the moving wall is $\backslash (5\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The distance between the walls is $0\mathrm{.}4$ m $.$ For this situation, $\backslash ($ C p $\backslash )$ is given as $1$ and the Prandlt number is $2.$

a$.$ Plot the local temperature between the gap of the two walls.

b$.$ Find the maximum temperature and its location.