In: Physics
2) Operating a steady-state, a well insulated mixing chamber receives two input liquid streams of the same substance but with temperatures T1 and T2 and mass flow rates m ̇ 1 and m ̇ 2 respectively. The streams are mixed in the chamber, exiting as a single stream with T3 and m ̇ 3. Assuming the substance is incompressible with constant specific heat C, that potential energy, kinetic energy, and pressure changes are negligible, obtain an expression for
a) T3 in terms of T1, T2 and the ratio of the mass flow rates m ̇ 1/m ̇ 3.
b) the rate of entropy production per unit mass exiting the chamber in terms of C, T1/T2 and m ̇ 1/m ̇ 3.
c) For fixed values of C and T1/T2, determine the value for m ̇ 1/m ̇ 3 for which the rate of entropy production per unit mass out, σ ̇/m ̇3, is a maximum. (Hint start with an expression for σ ̇/m ̇3 as a function of m ̇ 1/m ̇ 3.)
NOTE: m * = M (Dot)
The entropy available to work form second low to thermodynamics of total entropy is system to increases,it remains entropy decrease to 'zero' process.