Tham khảo tài liệu 'robotics process control book part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 52 Mathematical Modelling of Processes Vw density pw and specific heat capacity cpw. Heat transfer from the process toits environment is neglected. Further assume spatially constant temperatures 1 and 2 constant densities P1 p2 flow rates q1 q2 specific heat capacities cp1 cp2. O1 is the heat transfer coefficient from liquid to wall and a2 is the heat transfer coefficient from wall to liquid. The process state variables are 1 2 w. The process input variables are 1v 2v. 1. Find state equations 2. introduce dimensionless variables and rewrite the state equations. Exercise A tank is used for blending of liquids Fig. . The tank is filled up with two pipelines with flow rates q1 q2. Both streams contain a component with constant concentrations C0 C1. The outlet stream has a flow rate q2 and concentration c2. Assume that the concentration within tank is C2. Find 1. state equations 2. linearised process model. Exercise An irreversible reaction A B occurs in a series of CSTRs shown in Fig. . The assumptions are the same as for the reactor shown in Fig. . 1. Find state equations 2. construct linearised process model. Exercise Consider the gas tank shown in Fig. . A gas with pressure p0 t flows through pneumatic resistance capillary R1 to the tank with volume V. The pressure in the tank is P1 t . Molar flow rate G of the gas through resistance R1 is G P0 - P1 R1 Assume that the ideal gas law holds. Find state equation of the tank. Exercises 53 Figure Series of two CSTRs. -p --- V p 1 Figure A gas storage .
