Question

Obtain the balance equation of mixed tank. Use this equation and show the step response of the volume and temperature of tank to inflow by Simulink . (The specific heat and density of all flows are Co and p.) Inflow:vw, VC Dilution water, vw,Tw ,p Outflow: pH . Temperature: Tw, Tc, T Concentrated juice, Vc,Te,p Initial value: Tw : 20 C,T :8°C A 3m2 10m h H 5m A T 15°C T

Answer 1

Conesudate Te m T,T, T Tnitial vaul om h h 3 m 2 Tc = 8'c A Tu Tz IS Con 4eyvaion of mass d (v) dt Vas Vo Volomutrc flow Yate ofoutlet Vo JH A dH dt At stiady tate Vws Ves Tn deviation form Vaxia ble at any deviation ngtant -vaiabl atteady 4tade Vaxiable A dH dt va the os yTay's +(H-Hs

Vw Ve AdH H 3 d + C d H 3s H(S) 3S+ 3S enthalty balonce 3H Vp Ta Vc TegIp - V0AT 3 Tda TdH HdT fsom yadion i 3 dl H dt VwVa -Vo T(VV 3 H dT VwTJ 4VcTcVT dt In deviadion fom dT dt STIS) O C

TIS)C VJ+3 STS) vcs 35+ 3S+L Ve tes Vw T Vw Tw (s) -+ Ve Tels) 3 Sx s)VCSs) T+5E 3S