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homework2_f10

# homework2_f10 - initial temperature is given as 2 3 m 10 3...

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University of California, Davis Department of Chemical Engineering and Materials Science ECH 157 Process Dynamics and Control Ahmet Palazoglu HOMEWORK 2 Fall 2010 (40 points) 1. (10 pts) An agitated batch tank is used to dissolve a solid component from a solid matrix into a liquid solvent medium. For this system, develop the modeling equation(s), stating all assumptions clearly. Obtain an analytical solution of this model that expresses the evolution of the concentration of the liquid solvent as a function of time. 2. (10 pts) Problem II.3 from R&P. 3. (20 pts) Consider the heated mixing tank problem with the modeling equations given as: p in in in c Q T T F dt dT Ah h F dt dh A ρ β + = = ) ( We have . The heat input is maintained at , the inlet flow rate is and the
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Unformatted text preview: initial temperature is given as . 2 3 m 10 , 3 4 kJ/kgC, 183 . 4 , kg/m 998 = = = = A c p kJ/hr 000 , 850 = Q /hr m 100 3 = in F C 20 = in T • What are the steady-state values of the liquid height and the exit temperature? • Consider a step-change in the inlet temperature from 20 o C to 24 o C to be introduced at . Find and plot the dynamic response of the tank outlet temperature. hr 5 = t • Consider a step-change in the inlet flow rate from 100 to 120 m 3 /hr to be introduced at . Find and plot the dynamic response of the tank outlet temperature and the liquid height. Use MATLAB/Simulink for all your calculations and plotting. Submit your simulation code(s) as well. hr 15 = t (DUE 10/18/10)...
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