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1
TH NGHIM QU TRNH V
THIT B CNG NGH HA HC
Ging vin: Phm Trung Kin
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NI DUNG CC BI TH NGHIM Xc nh chun s Reynolds (Reynolds Number)
Chng ct (Distillation)
Xc nh mc cht lng (Tank Draining)
Khuch tn (Stefan Diffusion)
Th nghim thit b truyn nhit (Heat Exchanger)
Tng quan v cc phn xng, qu trnh v thit b
trong nh my lc du (Overview of Refinery)
Tham quan h thit b chng ct ti phng th
nghim Lc-Ha Du v Vin Ha Hc Cng
Nghip Vit Nam
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XC NH CHUN S REYNOLDS
Ch dng chy ca cht lng Chy dng (tng) (Re2320): cc phn t cht lng
chuyn ng song song nhau theo ng thng vivn tc chm c gi l chy dng.
Chy xoy (ri) (Re10000): cc phn t chuynng vi vn tc nhanh theo ng thng khng tht vi cc hng khc nhau to thnh mt dng ric gi l chy xoy.
Chy chuyn tip (qu ) (2320
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CHUN S REYNOLDS
Cng thc xc nh chun s Reynolds
Re=wl/=wl/Trong :w: vn tc c trng ca dng chy (m/s)l: kch thc hnh hc c trng (m)
- chiu cao h nu l tng phng- ng knh tng ng dtca mt ct m lu th i qua
dt=4rtl rtl=f/U
f: din tch mt ct ca dng (ng) U: chu vi thm t: khi lng ring (kg/m3)
: nht ng lc hc (dynamic viscosity)(kg/m.s hay Pa.s, N.s/m2)v: nht ng hc (kinetic viscosity) (m2/s)
v= /
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S TH NGHIM REYNOLDS
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C S L THUYT TH NGHIM REYNOLDS
Th nghim Reynolds l mt th nghim c in
c Reynolds tm ra.
xem c cu trc ca dng chy, Reynolds dng mt ng rt nh dn nc mu vo thng
vi ng tm ca ng ln dn nc khng mu.
Cc nhn xt v kt lun m Reynolds rt ra trongqu trnh th nghim.
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C S L THUYT TH NGHIM REYNOLDS
1. Khi tng dn lu lng t Q=0
gi tr lu lng nh, tia mu chy theo mt ng thng vtheo ng tm ng, khng dao ng, dung dch mu khngc s ha trn vi dung dch nc chy quanh n.
Khi lu lng tng n mt mc no th tia mu bt u b
dao ng (gn sng). Lc ny dng chy tng kt thc.
Nu lu lng tip tc tng th tia mu s dao ng mnh hndn n b t on v sau s b ha trn hon ton vodng chy. Lc ny dng chy tr ln ri hon ton.
Theo Reynolds dng chy chuyn t trng thi chy tng sangtrng thi chy ri phi qua bc trung gian l trng thichy qu .
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C S L THUYT TH NGHIM REYNOLDS
2. Khi lu lng gim dn
Khi dng chy trng thi ri hon ton, nu tagim dn lu lng th ti mc no tia mu trli mc gn sng.
Nu tip tc gim lu lng th dng chy li tr vtrng thi chy tng, tia mu li chy theo mtng thng dc theo tm ng.
Nh vy, dng chy chuyn trng thi chy ttrng thi chy ri v trng thi chy tng qua trngthi trung gian l trng thi chy qu .
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XC NH H S REYNOLDS T TH NGHIM
Tnh lu lng: Q = W/t
Tnh vn tc dng chy: w = Q/A
Tnh ch s Reynolds: Re = w.D/v
Trong :
W l th tch cht lng o c trong 1 n v thigian
t l thi gian cht lng chy c th tch W
A l din tch ng ng
D l ng knh ng w l vn tc trung bnh trong ng
v l nht ng hc ca cht lu
Q l lu lng
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XY DNG H TH NGHIM REYNOLDS
YU CU:
B sung c s l thuyt ca qu trnh
Cc trang thit b cn dng cho th nghim
Lp t cc thit b cho th nghim
Cht mu (c th dng KMnO4) Nguyn tc o cc thng s
Tin hnh th nghim (lp li khong 2-3 ln)
Ghi kt qu th nghim
X l cc s liu th nghim Dng cc ng c D khc nhau hoc ng gp khc
nghin cu cho cc trng hp c bit
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CHNG CT (DISTILLATION)
Mc ch ca th nghim:
L thuyt v chng ct
Nguyn l, cu to ca thp chng ct
Nguyn tc hot ng ca thp chng ct
Xc nh hiu sut ca thp chng ct
Xc nh s a l thuyt ca thp v ch shi lu ti thiu
nh gi phng php McCabe-Thiele
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C S L THUYT QU TRNH CHNG CT
Thit b chng ct
n gin nhtThit b chng ct c ct
chng ct
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C S L THUYT QU TRNH CHNG CT
Thit b chng ct ASTM D86
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C S L THUYT QU TRNH CHNG CT
Kt qu th nghim (Bng 1 ni suy ra Bng 2)
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NG CONG CHNG CT
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THP CHNG CT
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THP CHNG CT
a trong thp chng ct
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S H THNG THP CHNG CT
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MT S M HNH THP CHNG CT
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PHNG PHP McCabe-Thiele
Dng cho qu trnh chng ct h hai cht lng tan v hn
(Ru+Nc) ng bay hi cn bng (a,b,c)
S nguyn l mt thp chng ct
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PHNG PHP McCabe-Thiele
Gi s cn chng ct h 2 cht (1) v (2) c
p sut hi bo ha ln lt l P1 v P2Nng phn mol ca cht th nht trong
lng v hi ln lt l x v y
Theo Raoult v Dalton ta c:y=P1x v 1-y=P2(1-x)
Hay: y=x/[1+( -1x)]vi =P1/P2
cng ln th y cng khc x.ng (a) vi =1
ng (b), (c) vi tng dn
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PHNG PHP McCabe-Thiele
Theo s thp chng ct:
D l sn phm nh
R l sn phm y
V l s mol hi bay ln
L l s mol lng chy xung
Ti mi a ca vng ct:
V(n) =L(n+1) + D
i vi cht th nht:V(n) y(n) =L(n+1) x(n+1) + DxD
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PHNG PHP McCabe-Thiele
Theo gi thuyt Lewis, nhit bay hi mol
khng ph thuc phn t lng (s mol lngchy xung t cc a c th coi l nhnhau, s mol hi bay ln t cc a cngnh nhau). Khi ta c:
V(n) y(n) =L(n) x(n+1) + DxD
Hay:
y(n) =(h/(h+1))x(n+1)+(1/(h+1))xD (*)
Trong : h=L/D
Phng trnh (*) l tuyn tnh, h cng ln th th cng dc, h= th y(n)=x(n+1) (ng cho)
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24
PHNG PHP McCabe-Thiele th biu din s
ph thuc y(n) v x(n+1)l cc ng lm vic
- Tt c cc ng lm
vic ca vng ct u i
qua im D ng vi
xD(DR, DP, DE, DH,)
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PHNG PHP McCabe-Thiele
Ti vng chng:
V(m)=L(m+1)-R
Vi R l s mol cn ly ra khi y thp
V(m) l s mol hi bay ln t a m
L(m+1) l s mol lng chy xung t a (m+1)
i vi cht th nht:
V(my(m) =L(m+1)x(m+1) RxR
Dng gi thuyt Lewis ta c:y(m)=(L
/V)x(m+1)-(R/V)xR (**)
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PHNG PHP McCabe-Thiele
th biu din gia y(m) v x(m+1)l cc ng
lm vic vng chngChng u i qua im R c ta xR (RP)
Ti vng ct: L=hD
V= L+D=(h+1)D
Ti vng chng, dng lng L:
L=L+La=hD+La
Cn dng hi V: V=V-Va=(h+1)D-VaV R=A-D nn hi lu s:
s= V/R=[(h+1)D-Va]/[A-D]
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PHNG PHP McCabe-Thiele
Khi phng trnh (**) c dng:
ym=[(s+1)/s)]x(m+1)-(1/s)xR
Hay: x(m+1)=[s/(s+1)]ym +[1/(s+1)]xR
i vi a np liu:
- vng ct:
V(n,)y=L(n+1)x+DxD
- vng chng:
V(m,)y=L
(m+1)x-RxR
Trong a (n) ca vng ct cng l a (m) ca vngchng v a (n +1) ca vng ct cng l a (m +1)ca vng chng
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PHNG PHP McCabe-Thiele
Tr hai v ca phng trnh:
A l s mol nguyn liu c np
xAl phn mol ca cht th nht trong nguyn liu c np
Val s mol nguyn liu bay hi
Lal s mol nguyn liu trng thi lng
(A=Va+La)
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PHNG PHP McCabe-Thiele
Phng trnh ng np liu (qua M)
Khi x=xA th y=x=xA, ta c im M
Gc nghing ca ng np liu ph thuc t sVa/A, tc ph thuc nhit np liu Ta, c th phthuc Ta v nhit si Ts, nhit ngng t Thcanguyn liu. Ta c cc ng a, b,c d, e.
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PHNG PHP McCabe-Thiele
V tr ng np liu:
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PHNG PHP McCabe-Thiele
ng (a): Ta=Ts, nguyn liu bt u si,B=0, (B-1)/B=-
ng (b): Ts
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PHNG PHP McCabe-Thiele
S liu =4, D=1/3A, R=2/3A
B=Va/A=1/2, nn ng np liu: y=-x+2xA=-x+0,7 v xA=0,35
hi lu ng vi ng PD l h=2,17
Phng trnh ng lm vic vng ct PD: y=0,685x+0,3
V h=2,17 nn hi lu hi s=0,835
ng lm vic vng chng RP c phng trnh:x=0,455y+0,027
Hoc: y=2,198x-0,06
X 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9
y 0,31 0,50 0,63 0,73 0,80 0,86 0,90 0,94 0,97
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PHNG PHP McCabe-Thiele
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PHNG PHP McCabe-Thiele
Theo hnh v:
tm s a l thuyt ta v ln lt ccng thng ng v nm ngang nm giang bay hi cn bng v ng lm vic.
S a vng ct ln hn 4 S a vng chng gn 3 S a ca c thp l 4+3=7
Trng hp hi lu hon ton, ng lm
vic l RD, s a l thuyt l ln hn 4ng bay hi cn bng cng cong ( cng
ln) th s a l thuyt tng hay gim v hcc cht cng d hay kh tch? V sao?
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PHNG PHP McCabe-Thiele
S a l thuyt ca thp ph thuc:
Bn cht h hi lu
Nhit vng np liu
Nng distillat
Nng cn (sn phm y)
Khi nim a l thuyt l mt ci g rt l thuyt,mt a l thuyt c th khng phi l mt a thcm gm n a thc
Gi tr n ph thuc: cu trc hnh hc ca thp, tc, cch thc di chuyn ca pha hi, pha lng, nhit, p sut,
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PHNG PHP McCabe-Thiele
Quan h gia hi lu v s a l thuyt
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PHNG PHP McCabe-Thiele
Cc bc xc nh s a l thuyt
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PHNG PHP McCabe-Thiele
Cc bc xc nh s a l thuyt
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PHNG PHP McCabe-Thiele
Cc bc xc nh s a l thuyt
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PHNG PHP McCabe-Thiele
Cc bc xc nh s a l thuyt
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PHNG PHP McCabe-Thiele
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M HNH TH NGHIM CHNG CT (UOP)
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MT S NI DUNG KHC
H chng ct trong thc t (UOP-UC DAVIS)
M hnh qu trnh chng ct (Michigan)
M hnh thp chng ct trong HYSYS
Thp chng ct du th trong nh my lc
du Dung QutTng quan v cc qu trnh v thit b trong
nh my lc du Dung Qut
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H CHNG CT UOP
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CC M HNH THP TRONG THC T
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CC M HNH THP CHNG CT
Thp chng ct kh quyn (Atmospheric)
Thp chng ct chn khng (Vacuum)
Thp chng ct phn ng (Reactive)
Thp chng ct ba pha (3 phases)
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THP CHNG CT KH QUYN
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THP CHNG CT CHN KHNG
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TH NGHIM V CHNG CT
YU CU:
Xy dng c s l thuyt v qu trnh chng ct (cnbng lng hi,)
Tm hiu cu to ca thit b chng ct, thp chngct du th,
Nguyn l hot ng ca thp chng ct Phng php xc nh s a ca thp chng ct
V s mt h thit b v chng ct (tham kho mhnh thp chng ct) c cc thit b ph tr v cch
vn hnh Xc nh s a ca thp chng ct theo phng
php MacCabe-Thiele
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XC NH MC CHT LNG TRONG BNH
Mc ch ca th nghim (Tank Draining) Xc nh h s thot ca cht lng trong bnh qua
mt l thng.
Kho st s nh hng ca kch thc l khc nhaun ng lc ca qu trnh chy.
D liu thc nghim cho php sinh vin phn tch sais (phng sai), ni v ngoi suy s liu.
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C S L THUYT CA QU TRNH
Khi nc chy qua bnh cha (Minh ha
hnh 1), lu lng th tch c th biu dinnh sau:
Trong : CD: c xc nh bng thc nghim
(H s thot ca dng chy)
Ao: Din tch l h: Chiu cao mc cht lng
g: gia tc trng trng
0 2 (1)Dq C A gh
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C S L THUYT CA QU TRNH
Phng trnh (1) i khi cng c xem nh nguyn l chyTorricelli.
Dn xut ca phng trnh trn c th vit nh sau:
Cc: H s tht ca dng chy=S2/S0 S2: Din tch mt ct dng nh nht S0: Din tch l (A0)
Trong thc nghim, s o su ca nc (h) nh l hm ca thigian (t) v xc nh h s thot cht lng (CD) Xc nh h s CC hay CD ph hp nht vi cc s liu cho trong
cc ti liu
0 2Cq C A gh
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XC NH MI QUAN H GIA q V h
Cc vn cn quan tm:
Thi gian chy ht cht lng (nc) trongbnh?
Chiu cao cht lng thay i theo thi gian
nh th no? Mi quan h gia q v h?
Chng ta s lm r cc vn
ny bng phng phpphn tch sau y:
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XC NH MI QUAN H GIA q V h
Gii thch cc k hiu:
q l lu lng th tch chy ra t bnh [m3/s]
A l din tch mt ct ca bnh [m2]
Aol din tch mt ct ca l [m2]
h l chiu cao mc cht lng thi im t [m] l khi lng ring ca cht lng [kg/m3]
t l thi gian [s]
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XC NH MI QUAN H GIA q V h
Theo nh lut bo ton khi lng: lng
cht lng ra khi bnh phi bng lng chtlng st gim trong bnh.Lng cht lng trong bnh: AhTc thay i khi lng trong bnh:
d[Ah]/dt=- qHay: Ad[h]/dt=- qHay: dh/dt=-q/A
Nu q=C (hng s) th dh/dt=-C/A Tch phn 2 v ca phng trnh vi phn, ta
c nh sau:
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XC NH MI QUAN H GIA q V h
Ta c:
Hay
2 2
1 1
[t2-t1]
t t
t t
dh C C dt dt
dt A A
( 2) ( 1) [t2-t1]
C
h t h t A
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XC NH MI QUAN H GIA q V h
Cho t1=0 (h=h0)v t2=t; Ta c phng trnh
2.5:
Ta c th xc nh h0 v C/A (h s gc)
bng cc s liu thc nghimM hnh q=hng s s khng ph hp khi h
dn ti o v khi q s dn ti o
( ) 0 0[1- ]0
Ct Ct h t h h
A Ah
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XC NH MI QUAN H GIA q V h
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XC NH MI QUAN H GIA q V h
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XC NH MI QUAN H GIA q V h
Gi s q=bh; Khi :
Tch phn ta c:
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XC NH MI QUAN H GIA q V h
Bin i phng trnh ta c:
Tch phn ta c:
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XC NH MI QUAN H GIA q V h
t t1=0 v t2=t; ta c phng trnh 2.9:
Hay: phng trnh 2.10
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XC NH MI QUAN H GIA q V h
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XC NH MI QUAN H GIA q V h
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C Q G
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XC NH MI QUAN H GIA q V h
Trng hp tng qut: q=khn
n=0 v 1 ( xt)
n>=1 (s khng xc nh c thi gian cnbnh)
Do : 0
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XC NH MI QUAN H GIA q V h
Phng trnh rt gn:
Tch phn ta c:
Hay ta c phng trnh 2.11:
67
XC NH MI QUAN H GIA V h
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XC NH MI QUAN H GIA q V h
Gii h theo t; ta c:
R rng l n
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XC NH MI QUAN H GIA q V h
69
XC NH MI QUAN H GIA V h
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XC NH MI QUAN H GIA q V h
Theo cch xc nh ny ta c:
-k/2A=-0.0287 in1/2/s
V: q=5.195h1/2
Nu ta xc nh theo 4 im u tin th:
-k/2A=-0.0264 in1/2/s [sai s kh ln]Trn c s xc nh c q=f(h) ta s xc nh
c cc h s CChoc CD
70
XC NH MI QUAN H GIA V h
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XC NH MI QUAN H GIA q V h
BI TP: Xc nh phng trnh: q=f(h) theo
cc m t sau y:
71
XC NH MC CHT LNG TRONG BNH
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XC NH MC CHT LNG TRONG BNH
Quy trnh thc hin th nghim:
nc vo bnh ti v tr vch sn Chy ng h bm giy v m nt o mc cht lng trong bnh nh l hm ca thi
gian vi cc kch thc l khc nhau
Lp li s th nghim cn thit Xem xt cc yu t nh hng n qu trnh V th quan h gia h(in) v t (s) Xc nh cc sai s
Xc nh CDt cc s liu thu c vi cc kchthc l khc nhau So snh cc s liu CDtnh ton c v cc s liu
CD trong cc s tay
72
XC NH MC CHT LNG TRONG BNH
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XC NH MC CHT LNG TRONG BNH
Kt qu th nghim (dtank = 10,75 in; dorifice=0,609 in; htank= 12 in ):
Xc nh mi quan h gia x v y (bc 1 v bc 2) theo ccphng php ca Quy hoch thc nghim v xc nh sai s?
Xc nh mi quan h gia q v h (theo cc dng cho)
Thigian (s)
(x)
0 5.93 11.3 17.2 23.2 29.67 36.17
Chiucao
(inches)
(y)
12 11 10 9 8 7 6
Thi gian (s)
(x)
43.37 51.03 60 70.73 84.73
Chiu cao(inches)
(y)
5 4 3 2 1
73
XC NH MC CHT LNG TRONG BNH
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XC NH MC CHT LNG TRONG BNH
Kt qu th nghim (dtank = 1 in; dorifice= 0,043 in; htank= 15 in ):
Xc nh mi quan h gia x v y (bc 1 v bc 2) theo ccphng php ca Quy hoch thc nghim v xc nh sais?
Xc nh mi quan h gia q v h (theo cc dng cho)
Thigian (s)
(x)
0 6 12.2 18.7 25.5 32.7 40.3 48.3 56.7
Chiucao
(inches)
(y)
15 14 13 12 11 10 9 8 7
Thi gian (s)
(x)
66.1 76.2 87.6 101 117.5 140.7
Chiu cao(inches)
(y)
6 5 4 3 2 1
74
PHNG PHP QUY HOCH THC NGHIM
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PHNG PHP QUY HOCH THC NGHIM
Phng php bnh phng cc tiu
Ni dung: cn biu din mi quan h gia x1,x2,,xk v y
Bi ton t ra l tm mt hm s biu din
gn ng nht mi quan h ny bng mthm s no
Ngha l, tm mt hm s biu din mi quanh gia x1, x2,,xkv y sao cho tng bnh
phng cc sai s l nh nht.y=f(x1,x2,,xk) v S(b0,b1) t min
Thng thng ta hay chn hm a thc
75
PHNG PHP BNH PHNG CC TIU
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i vi cc hm a thc (bc nht) ni
chung th theo phng php ny cc h s bjc xc nh theo cng thc sau:
Gi s
Trong : X l ma trn th nghim
Y l ma trn cc kt qu th nghimB l ma trn cc h s bj
1 1
( ) 0 ( ) ( )T T T
X X B X X X Y
PHNG PHP BNH PHNG CC TIU
76
PHNG PHP BNH PHNG CC TIU
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Cc ma trn X, B, Y
p dng vi hm mt biny = b0 + b1x (Bc 1) v y = b0 + b1x + b2x2(Bc 2)
11 12 1
21 22 2
1 2
1 ...( )
(1) ...( )
..............................
..............................
..............................
(1) ...( )
k
k
N N Nk
x x x
x x x
X
x x x
1
2
.
.
.
y
y
Y
yN
0
1
.
.
.
b
b
B
bk
PHNG PHP BNH PHNG CC TIU
77
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Cc h s bjc xc nh theo cng thc
sau (Bc 1):
2
1 1 1 1 10
2 2
1 1
1 1 11
2 2
1 1
( ) ( )
( )
( )
N N N N
iT T i i i i
N N
i i
i i
N N N
i i i
N N
i i
i i
yi x xi xiyi
B X X X Y b
N x x
N xiyi xi yi
bN x x
78
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Hm bc nht: y = b0 + b1x (Theo cch khc)
Cho N kt qu u ra y1, y2,,yn tng ng vin gi tr u vo x1, x2,,xN, cn phi xc nhcc h s b0, b1 sao cho:
t Min
Ta c h phng trnh sau:
20 1 0 1
1
( , ) ( )
N
i i
i
S b b y b b x
0 10 1
10
0 10 1
11
( , ) 2 ( ) 0;
( , )2 ( ) 0
N
i i
i
N
i i i
i
S b b y b b xb
S b by b b x x
b
79
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Hay ta c:
0 1
1 1
2
0 11 1 1
0 1
2
0 1
0
0
:
;
( ) .
N N
i i
i i
N N N
i i i ii i i
Nb b x y
b x b x x y
Hay
nb nb x n y
nb x nb x nx y
80
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Gii h phng trnh ta c (Bc 1):
Trong :
2
0 2 2
. . .
( )
y x x x yb
x x
1 2 2
. .
( )
x y x yb
x x
1 1
2 2
1 1
1 1;
1 1. ;
N N
i i
i i
N N
i i i
i i
x x y y
N N
x y x y x xN N
81
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Cc h s tng quan (Bc 1):
2 2
2 1
1
( )1
;1
N
i Ni
x i
i
x N x
S x xN N
2 2
2 1
1
( )1
;
1
N
i Ni
y i
i
y N y
S y y
N N
1
xxy
y
Sr b
S
82
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Tng d bnh phng c tnh nh sau:
Nu S(b0,b1) cng gn 0, rxycng gn 1, nghi quy cng gn N im thc nghim.
V d: Cho bng s liu thc nghim sau:
2 2
0 1( , ) ( 1) (1 )y xyS b b N S r
x 1 2 3 4 5 6 7 8
y 2.35 2.41 2.60 2.73 2.90 3.11 3.25 3.45
83
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Kt qu:
b1= 0,1381; b0 =2,2285; Sx = 2,4494; Sy = 0,3524;rxy= 0,9598; S(b0, b1) = 0,06848
V d: Cho bng s liu sau:
Kt qu:
b0 = 4,5759; b1 = 3,4913; Sx = 1,8708;
Sx = 6,5322; rxy= 0,9998; S(b0, b1) = 0,04412
X 2 3 4 5 6 7
y 11.52 15.12 18.47 22.05 25.61 28.05
84
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Trong trng hp cc s liu th nghim c
lp li niln, ta c:
1
1
1 1
2 2 2
1
2 2 2
1
;
;
( / ( ) )
( / ( ) )
( )( )
N
i i Ni
i
i
N N
i i i i i
i i
N
x i i
i
N
y i i
i
xy
x y
x n
x n nn
x y n y n
xy yn n
S x n n x
S y n n y
xy x yr
S S
85
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Cho bng s liu thc nghim sau:
p dng cc cng thc trn ta thu c cc ktqu sau:
y = 0,1656x + 0,79
Sx = 138,755; Sy = 1,5772
rxy= 0,9715
x 10 14 18 18 20 20 24 24 30 30 32 36 40 44
y 2.5 2.6 3.2 3.5 4 4.4 5 5.4 6 6.2 6.3 6.8 7 7.5
ni 4 3 4 3 4 3 5 4 2 4 3 4 4 2
86
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
i vi hm bc 2: y=b0+b1x+b2x2
Nu phng trnh hi quy c dng a thc bccao, th khi dng phng php bnh phng bnht s tm c cc h s a thc bng hphng trnh tuyn tnh.
Theo phng php BPCT:
2
0 1 2
( ) ( ) ( )
1; ;
f x f x f x
x xb b b
87
PHNG PHP BNH PHNG CC TIU
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PHNG PHP BNH PHNG CC TIU
Cc cng thc xc nh b0, b1, b2c xc nh
theo h phng trnh sau:
Thc hnh ti lp tnh ton cc h s bj
2
0 1 2
1 1 1
2 3
0 1 2
1 1 1 1
2 3 4 2
0 1 2
1 1 1 1
N N N
i i i
i i i
N N N N
i i i i i
i i i i
N N N N
i i i i i
i i i i
b N b x b x y
b x b x b x x y
b x b x b x x y
88
TUYN TNH HA HM S PHI TUYN
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TUYN TNH HA HM S PHI TUYN
89
TUYN TNH HA HM S PHI TUYN
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TUYN TNH HA HM S PHI TUYN
90
XC NH MC CHT LNG TRONG BNH
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XC NH MC CHT LNG TRONG BNH
YU CU:
C s l thuyt ca qu trnh Xy dng h th nghim qu trnh Nguyn tc vn hnh v o cc thng s X l cc s liu thc nghim (cho trc)
theo phng php quy hoch thc nghim(Bc 1 v Bc 2) Xc nh cc sai s
Phng php xc nh cc h s CD Tnh ton cc h s thot CDv so snh vi
cc s liu trong s tay.
91
KHUCH TN STEFAN (DIFFUSION)
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KHUCH TN STEFAN (DIFFUSION)
Mc ch ca thc nghim:
o h s khuch tn hi ca cc hp phnring bit (Methanol, Axeton, Hexan,) trongkhng kh ca h th nghim khuch tn theob mt phn cch lng kh.
Nghin cu h thng o h s khuch tnca Trng H UC at Davis
Phn tch v so snh cc kt qu thu c t
qu trnh th nghim Nghin cu cc m hnh tnh ton cc h s
khuch tn
92
KHUCH TN
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KHUCH TN
C s v khuch tn: Khi hai pha chuyn ng tip xc nhau, do s cn tr
ca pha ny i vi pha kia, ngha l do s ma stgia chng m trn b mt phn chia pha to thnhhai lp mng.
Qu trnh di chuyn vt cht trong mng c bn lnh s tip xc gia cc phn t v s tc dngtng h gia chng.
Qu trnh di chuyn vt cht qua mng l qu trnhkhuch tn phn t.
Qu trnh di chuyn vt cht nhn, nh s xo trncc phn t vt cht trong dng, gi l khuch tn ilu.
Vn tc khuch tn trong mng rt chm so vikhuch tn trong nhn.
93
KHUCH TN PHN T
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KHUCH TN PHN T
Xy ra trong lp mng hay trong mi trng ng
yn.ng lc khuch tn l gradien nng theo hng
di chuyn, tc l s bin i nng trn mt nv ng i.
nh lut Fick: Vn tc khuch tn t l vi gradiennng .
dG/Fd =-Ddc/dx
F l b mt vung gc vi hng khuch tn [m2]
D l h s khuch tn [m2/h] l thi gian [h]
Du (-) th hin nng gim theo chiu khuch tn
94
KHUCH TN PHN T
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KHUCH TN PHN T
H s khuch tn: l lng vt cht i qua
mt n v b mt, trong mt n v thigian khi nng vt cht gim mt n vtrn mt n v chiu di theo hngkhuch tn.
Khuch tn ca kh trong kh: V d kh Akhuch tn vo trong kh B (hay ngc li).H s khuch tn (D) c xc nh theo
cng thc sau:
95
KHUCH TN PHN T
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U C
Trong : M
Av M
Bl khi lng phn t ca kh A v kh B
[kg/kmol] T l nhit tuyt i ca kh [K] P l p sut chung ca kh [at] VA v VBl th tch mol ca kh A v kh B
[cm3/mol ] Th tch mol ca cc cht cho trong cc s tay
chuyn mn
Trng hp thiu s liu v th tch mol, c th tnhton theo cng thc sau:
V= nvi n l s nguyn t cng loi Vil th tch nguyn t (Tra bng)
96
KHUCH TN PHN T
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nh hng ca nhit v p sut ln h s
khuch tn:
Ch s 0 l nhit v p sut bit
Khuch tn kh trong lng (c thm)
97
KHUCH TN I LU (C THM)
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( )
Trng hp vt cht khuch tn trong mi trngchuyn ng, v d khuch tn t dng kh vo dngcht lng git.
Dng kh c vn tc w v nng ca cu t phn
b l C. Dng lng i vo vi vn tc u Vn tc khuch tn t kh vo lng khng nhng
nh vo chuyn ng ca phn t m cn nh vochuyn ng ca cc pha.
98
KHUCH TN STEFAN (DIFFUSION)
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( )
C s l thuyt ca qu trnh
Gi thit qu trnh khuch tn trng thitnh, vi ReDT
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( )
Trong :
CGnng mol trong pha kh, mol/cm3 CLnng mol trong pha lng, mol/cm3 d ng knh trong ca ng khuch tn, cm D h s khuch tn (cm2/s )
l chiu di phn khuch tn ti thi im t; l0chiudi phn khuch tn ng vi t = 0 ReDT chun s Reynolds= t l thi gian; t0l thi gian u l vn tc kh trung bnh, cm/s
xenng phn mol ca cu t khuch tn ti b mt = CL/CG khi lng ring, g/cm3 nht ng lc hc, g/cm.s
du
u
100
KHUCH TN STEPHAN
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101
S DI CHUYN CA CC HT KHUCH TN
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102
KHUCH TN STEFAN (DIFFUSION)
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( )
Tin trnh lm thc nghim
Cho cht lng d bay hi vo ng n nh nhit trong bnh (thermostat)
o lu lng dng khng kh m bo
ReDT
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( )
Phn tch d liu
Tnh ton h s khuch tn ca 3 cht lngkhc nhau theo phng trnh cho
V biu h s khuch tn theo nhit
So snh gi tr khuch tn thc nghim vicc s liu trong cc s tay
So snh cc gi tr h s khuch tn thu cvi mt s m hnh d on
nh gi phng php Stefan xc nh cch s khuch tn ca cc cht khc nhau
104
KHUCH TN STEFAN (DIFFUSION)
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H thng o h s khuch tn
Air inlet
Air outlet
Dessicant
Thermostat
Water bathDiffusion tubes
105
KHUCH TN STEFAN (DIFFUSION)
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( )
ng khuch tn
z
r
NA
Species A
0 Stagnant Air
Flowing Air (Re
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( )
H thng khuch tn
316 Stainless Steel
Diffusion Manifold & Tube
107
KHUCH TN STEFAN (DIFFUSION)
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YU CU:
C s l thuyt ca qu trnh Xy dng h th nghim qu trnh (cc trang
thit b cn c, thit b ph tr,)
Nguyn tc vn hnh v o cc thng s Xc nh h s khuch tn
M hnh d on h s khuch tn ca cccht khc nhau
108
TH NGHIM THIT B TRUYN NHIT
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C s l thuyt qu trnh truyn nhit
Cc phng thc truyn nhit Dn nhit (Conduction)
Nhit i lu (Convection)
Natural Convection (i lu t nhin) Forced Convection (i lu cng bc)
Bc x nhit (Radiation)
109
TH NGHIM THIT B TRUYN NHIT
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Cu to thit b trao i nhit:
Loi gin tip: nhit truyn t cht ti nhit ny sangcht ti nhit khc qua b mt phn cch (b mttruyn nhit)
Loi m: qu trnh trao i nhit thc hin trn cng
mt b mt ca vt rn v tin hnh theo cc giaion ni tip nhau u tin, cho cht ti nhit nng tip xc vi b mt rn
(m), vt rn s c un nng n mt nhit cn thit
Khi ngng cung cp cht ti nhit nng, cho cht ti nhit
lnh vo, vt rn s truyn nhit cho cht ti nhit lnh Loi trc tip: Hai cht ti nhit tip xc trc tip vi
nhau
110
TH NGHIM THIT B TRUYN NHIT
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Cc tc nhn truyn nhit ch yu:
Khi l (1000C), dng in (1500-2000C), hi nc,hi qu nhit (180-350C), du khong (250C)
Cc cht hu c c nhit cao v hi ca n(diphenyl, etediphenyl,) [>180C-250], c un
nng bng khi l, hoc dng in
Cc mui v c nng chy (NaNO3hoc KNO3)hochn hp ca n v mt s kim loi hp kim trng
thi lng [Hg, Pb, Antimon] (140-510C)
Nhit ca cc kh thi hoc cht lng thi c nhit cao
111
TH NGHIM THIT B TRUYN NHIT
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Thit b trao i nhit gin tip
Loi c v bc Loi ng
Loi tm
Loi xon c Loi ng gn
112
TH NGHIM THIT B TRUYN NHIT
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Loi c v bc:
113
TH NGHIM THIT B TRUYN NHIT
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Loi c v bc
114
TH NGHIM THIT B TRUYN NHIT
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Loi ng
115
TH NGHIM THIT B TRUYN NHIT
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Loi ng
116
TH NGHIM THIT B TRUYN NHIT
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Loi ng
117
TH NGHIM THIT B TRUYN NHIT
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Thit b trao i nhit ng chm
118
TH NGHIM THIT B TRUYN NHIT
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Cch b tr ng trn li
119
TH NGHIM THIT B TRUYN NHIT
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Cch chia ngn
120
TH NGHIM THIT B TRUYN NHIT
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B gin n
121
TH NGHIM THIT B TRUYN NHIT
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B gin n
122
TH NGHIM THIT B TRUYN NHIT
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Loi tm
123
TH NGHIM THIT B TRUYN NHIT
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Loi xon c
124
TH NGHIM THIT B TRUYN NHIT
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Loi c gn
125
TH NGHIM THIT B TRUYN NHIT
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Mt s m hnh thit b trao i nhit
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127
CC M HNH THIT B TRUYN NHIT
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Lm lnh bng khng kh (Air cooler)
un nng v lm lnh (Heater/Cooler)Trao i nhit (Heat Exchanger)
L t (Furnace-Fired Heater)
Trao i nhit nhiu dng LNG (LiquefiedNatural Gas)
128
TH NGHIM THIT B TRUYN NHIT
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Thit lp h th nghim qu trnh truyn nhit
M hnh cc thit tr trao i nhit trong phnmm m phng HYSYS
Tnh ton cc h s truyn nhit (xem li ccbi tp)
Thc hnh M phng
Mt s bi tp v thit b trao i nhit ngchm (xem li)
129
TH NGHIM THIT B TRUYN NHIT
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Thit lp h th nghim truyn nhit
130
TH NGHIM THIT B TRUYN NHIT
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YU CU:
C s l thuyt qu trnh truyn (trao i)nhit
Nguyn l v cu to cc thit b trao i nhittrong thc t (bao gm c cc thit b lmlnh bng khng kh, l t,)
Thit lp mt m hnh qu trnh trao i nhittrong thc t
131
TI LIU THAM KHO (REFERENCES)
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Chng trnh th nghim qu trnh v thit b trong
cng ngh ha hc, UC Davis, USA, 2012Gio trnh Cng ngh lc du, Phan T Bng, H
M-a cht, NXBXD, 2002Qu trnh v thit b trong cng ngh ha hc, Tp
1&4, Nguyn Bin, H bch khoa H ni, NXB KH&KT,2004
S tay qu trnh v thit b trong cng ngh ha hc,Tp 1&2 , NXB KH&KT, 2006
Qu trnh v thit b trong cng ngh ha hc, Tp 3,
Phm Xun Ton, H bch khoa H ni, NXBKH&KT, 2011 Cc ti liu th nghim cc qu trnh cng ngh ha
hc, UC Davis, USA, 2012
132
YU CU I VI BO CO TH NGHIM
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Vit tay khong 25-30 trang
V hnh hoc ct dn hnh (nu phc tp)Np Bo co ngy 18.02.2013 (Gi ra H Ni)
/C:B mn Lc-Ha Du, Khoa Du Kh,Trng i hc M-a cht, ng Ngc-T
Lim-H NiChm im Bo co ly im thiV s chi tit v m t k lng trnh t
v nguyn tc thc hin cc th nghimKhuyn khch xy dng mt s h th
nghim n gin theo c s l thuyt c hc.
133
NI DUNG BO CO TH NGHIM
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i vi tng bi th nghim:
C s l thuyt Xy dng h th nghim
Nguyn tc o v tnh ton cc thng s
X l cc s liu thc nghim Kt lun
THC HIN THEO YU CU C TH CHOCA TNG BI TH NGHIM
134
TH NGHIM QT&TB TRONG CNHH
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THE END