A jacketed vaporiser is used to produce vapour from a liquid feed. A liquid feed enters the vaporiser at the bottom with a volumetric flow rate F_i and temperature T_i, and the produced vapour is taken out from the top. Steam is supplied from an external source as a heating medium. Develop a model that describes the time-dependent liquid holdup in the vaporiser. The development should include:
(i) a labelled schematic diagram
(2 marks)
(ii) a list of characterising variables
(3 marks)
(iii) a list of assumptions
(3 marks)
(iv) conservation and constitutive equations with any initial and boundary conditions needed
(12 marks)