It is appreciated if anybody can help in discovering how the thermal energy consumption in MSF system is calculated. The attached photos are extracted from some related paper.
I presume that MSF refers to multi-stage flash distillation, and is being used for water desalination. Energy consumption will be calculated based on MJ (megajoules) per m3 or kg of distillate. The value indicated in the extracted table is high ... MSF plants can operate at 90 MJ/m3. You can also quote this value in kWh/kl. Conversion factors are obtained from the web.
Theoretically, the energy needed to evaporate 1 kg of water is 2257 kJ, to which 4,18 kJ/K should be added to heat the water to the boiling point, which depends on the pressure. If the condensation heat is fully recovered at each stage, the total energy amount should be divided by the number of stages.
To this, the heast losses of the apparatus , which depend on its thermal insulation and temperature difference between inside and outside, must be added. Finally, the energy for the pumps should be taken into account.
You may look for simulation methods on the internet.