Suppose the vessels used in Example 1 and 2 are arranged so that no heat transfer occurs between them along the interconnecting tube. If the pressure difference between the vessels is 10.0 kPa, determine the required temperature difference and mass flow rate in the interconnecting tube.
Example :
Both of the large vessels shown in given Figure are filled with saturated liquid water at 30.0°C. They are maintained isothermal but have a pressure difference of 10.0 kPa. The interconnecting tube has an inside diameter of 0.0100 m and is 0.100 m in length. It is filled with a porous material having a permeability of 1.00 × 10-12 m2 . Careful measurements reveal that the isothermal energy transport rate in this system is 15.0 J/s. Determine
a. The thermomechanical mass flow rate between the vessels.
b. The osmotic heat conductivity coefficient.
c. The isothermal entropy transport rate induced by the thermomechanical mass flow rate.
Example :
If the vessels in Example 1 were maintained isobaric at a mean temperature of 30.0°C and the measured thermomechanical heat transfer rate was 8.70 J/s, then find the induced isobaric mass flow rate and the resulting temperature difference between the vessels.