KING FAHD UNIVERSITY CHEMICAL ENGINEERING COURSE NOTES (Process Control)-sol-hw-2

KING FAHD UNIVERSITY CHEMICAL ENGINEERING COURSE NOTES (Process Control)-sol-hw-2

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Unformatted text preview: Assume constant liquid density, p .The mass balance for the tank is d{pAFi+mg} a? = PIE; - 9) Because p, A, :md mgflre constant, fllis equatinn becomes Ash E_qg_g (1] The square—mot relationship for flow through the cmtml valve is 1:! Fe, Pg+fl— a (2] er metheidealgaslaw, I Hi" pg =fl (a) A{H—h} where Tisflleahsolutetempermneufthe gas. Equation 1 gim the unsteady—state undel upon substimtim qu finm Eq. 2 and ongfiumEqfl: d}: (m I'MJRT h ”2 .4—=q,-—Cv S—+"’i— a (4) d! A(H—h} gc Because theme-delmntainstopemflm offllesystflnismtindepmdentofPa. FormopensystemPg=flanqu Eslmws thatflsesyshemisindependentofPa. Additional asumptions: (i) Dnnsitjr ufthe liquitL p, and Elensitj-r nfthe coolant, p1, an: Dunstan. (ii) Spacific heat of tbs: liquid, C, and of the coolant, (3;, an: mnstant. Encause I’is mnstant, the mass balance for the tank is: dP' —= — =l]; 111115 = Pd! (IF I} g 91" d!" me=QPPCITF_T}_KQJHIEA(T_E} [I] Energybalanc: forthtjacket: dTJ- n3 FJECJ? =§JPJCJUi _TJ}+KqJ “KT—1}} (2] whereAis theheattmnsfnrareafinfifihntwnmfliepmmss liquidandthn coolant. Eqs_land2mmpiisefl1ed§mamicnndnlfmfl1esysmn1 2.15 a) 11) Wecanassmthat p mdhareappmximaneljrmnstantmedjmamic undalisgivmhy: any rd d: c: (J Nofinethar M d? M: 17 —= — 2 p a: I1 d: (J 1&th £=(2Erh}£=fl£ (3) J: Jr a: Eubstimting (31mm (2) and them into {1}, air air —pAE—MCI —pE—Jh:'l roam—5 ’dr mpg—hr (4] r0 p [I I) Finally, szVzprrhr” 111m in: 2 M = — * (r) pnh[ra p r] Ihetimflmqmred firthepillmcfiusrmbemdmedby Elflfifaisgivenby Eq.4: 53:, r _ 3: Wrap = (u.9){u.4}{1.2) p: fir; (flfllfiflflj) =54mj11 0.1:; = 1':D — Ihercfnre, 1': 54min. ...
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