The contents of the stirred-tank heating system shownin Fig. E4.10 are heated at a constant rate…

The contents of the stirred-tank heating system shownin Fig. E4.10 are heated at a constant rate of Q(Btu/h)using a gas-?red heater. The ?ow rate w(lb/h) and volumeV(ft3) are constant, but the heat loss to the surroundingsQL(Btu/h) varies with the wind velocity v (ft/s) accordingto the expressionsQL= UA(T – Ta)U(t)=U + bv2(t)whereU, A, b,andTaare constants. Derive the transfer func-tion between exit temperature T and wind velocity v.Listanyadditional assumptions that you make

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