C$01$: Apply concept of mass, heat, and momentum transfer in solving complex

chemical engineering problem

a$)$ For energy flux expression: $e=(\frac{1}{2}{v}^2+(hat(U)))v+[*v]+q$

Explain the terms $*v$ and $q,$ by giving the definitions of the symbols used.

Give brief description of $*v$ derivation.

b$)$ For viscous heating term $($:gradv$)$ in the equation of mechanical energy:

Explain the $($:gradv$)$ term and give brief description of its derivations.

c$)$ The general form of equation of change for temperature can be simplified to

obtain expression showing variation of temperature within a solid with respect

to time. Show that the same expression can be obtained through derivation

for a conductive heat transport by applying energy balance over a volume

element of $xyz.$