The contents of the stirred-tank heating system shown In figure are heated at a constant rate of

Question:

The contents of the stirred-tank heating system shown In figure are heated at a constant rate of Q(Btu/h) using a gas-fired heater. The flow rate w(lb/h) and volume V(ft3) are constant, but the heat loss to the surroundings QL(Btu/h) varies with the wind velocity v (ft/s) according to the expressions

where U, A, b, and Ta are constants. Derive the transfer function between exit temperature T and wind velocity v. List any additional assumptions that youmake.