paraffin wax deposition and fouling

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— A33 — APPENDIX 7 EOUNDARY LAYEE TrIZOBY USED IN THE CALCULATION OF TEIIPEflATUPE PROFILES IN ‘UNBULE pTuT JyJ 7.1 asc iiouaions n turbulent flow it is convenient to describe the transfer of roientum and heat by: -r = — p u’ v’ ..... (A7.1.1) q — k + p h’ v ..... (A7.1.2) where r and q are the momentum flux and heat flux, respectively, in these equations p, and k are density, viscosity and therrral conductivity and H’ the fluctuating enthaipy. Mean values are denoted with a bar and flucuating values with a prite. If u is the real velocity, then we have: U + U’ and similarly for all other properties in turbulent flow. iile u is the velocity in the x (axial) direction, u’ and v” are the velocity fluctua tions in the x and y (radial) directions respective.y. Eoth u’ v’ and h’ v are unknown quantities which are usually uressed as: / I U V = — — u dy -I ‘ fl V = — i ay c and E. are the eddy diffusivities of momentum ard heat respectively. In thermodynamics dh = Cp dT, resulting in the following equations:
L U e;rression: / be used. diffusivities’ are required. Various methods and assumptions have been To solve equations A7.1.3 and A7.1.4 eç3ressions for the eddy q = — (c+pCpeh) U ay dT T (p + fI( ) du — A3LF — = ressions :or dy D:fusvi where n is an experimental constant. employed. In the present work the analogy developed by Deissier Will hypothesis, where: and K is a universal exerimental constant. the wall; close to the wall. where Cp is the heat capacity. Deissler divided the flow in a passage into two regions: away from Ior he region close to the wall Deissier chose a semi—empirical ‘or the region away from the wall Deissler used Karmans similarity = n u y 1 - exp U ‘‘2 ça u /cy ) = K2 2- /n_uy’ \V /j /2- \?
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1 ci 0 Ilc (i) s_ri P4 4) •,-1 0
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ACKC’bJLED3E.:ENTS should like to
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46 iixperimental Results 461 IntroJ
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APPNNDICES 1. PHYSICal PRSPHTIES Oi
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the major unresolved problem in hea
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and time, fouling factors are usual
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o F-I 0 U J ,ij cn J ‘I—I F3 Fl
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—5— vary from less than 1 per c
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2.2.3 Solubility refined paraffin w
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-.9— whica is well novc condition
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— -ii — deposit. Tronov statej
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— 13 remain in solution and the p
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- iuctoov and dorov concluded hat t
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— 17 — a deporsiion ce:Ll in a
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— 19 - toat sur:ace. hjsima.a ot
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— 2 - S * .. -, ‘.: ,- - .-,-
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and surface proueriez reapectlvely_
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- 25 - loading to a random process
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y - F’J CD:’ C) x— Dcpoit thi
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0 C 15O— 200 From ref 2 of wax eo
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0 o3 Tb 3D 0•0 L D 2 •O— Fg.2
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2 I In 0 Tot -D -D U 16H 16 20, In
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C CE) CL) CE) () .: rJ\: - . c: CD
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400 function of roughness factor. m
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— 2o — 3. i3:\CGRDU ND TO TI PR
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3.5 Conclusions decreases At the in
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L - A sz: CF Fo:;:NG BY SOLUTIONS O
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was designed to cut off the steam s
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• saLLy measures were tacen. oa:D
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— 34 .4 ‘mrii:ntal Solution The
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sections were ke-:t the same. fosi:
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sectaon 4- at eajt tests sections h
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These fluctuations were not reduced
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ii ID XXX 9 C-) 0 (N x S x xx< 7r-
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12— -; 11L. s 10E - 9: ‘3) 0 Ru
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(1) U) C’) C) Cl) It) 0 0 0 0 ox
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f-iq. 1.0-3.5.— Hecit trcinsfcr r
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I--i Fig. f.6.3.7. I ;ut transfer r
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0 C’) R — [feat transfer resist
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characteristc does exist and is tyt
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The ziuewor in the circulation syst
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The calibrations o the tesperature
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the solution and water o::a;es thro
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‘-- 5,5 wocrinentsl Resuts with f
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two hours, the deposits were observ
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wcr: on ara:zic: c.eposc.tion consi
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-- II 1 L1 SOLUIIOIJ C;IFCU1_/:[ION
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SCAR FE 1 DEPOSITION PLATE - - 0 C)
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M—AMOUNI DEPOSITED (mg) T1 0_i c)
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C) 0 0 0 Li.] CD - 3 0 3 0 h Iii (E
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- II -fl M—AMOUNT DEPOSITED (rng)
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91 9) :< C) --z 9] mc-) .;J -i ru
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.1 1• ci E 0 Ci) c) — nj
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- . O, O, I— —,-, fouling studi
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profiles at different Reynolds numb
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L Run . (°c) used to calculate tem
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Due to a concentration gradient the
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1 I C. (1.2.2.2 \1L. I .OC[FY V [A[
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V 40 - 0 C—, lt! -— o. ---—-
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Li FIG. G.2.3./. TEMPERAI URE v RAD
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— 1 7.0 0 --Tc.=10.0°C 50 140
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— -- — -——— — -—Tb =
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Z_o_—o-- 50 l0 - yX—--X— —-
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I:302 00 50 Ito -0——— ---—-
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I 50 ;) 30c’/ / C —------------
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FIG. 6. 4.1. AN IDEEAL TEMPERATURE
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— 63 — 7. DISCUSSIOI 7.1 Introd
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— 65 — through it decreases gra
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For breakdown and removal to occur
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— 69 — the large fouling studie
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Increased flowrate and temperature
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— 72 — 8. ICOi’NDATTCNS It is
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EEfiDN2WON
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T TemDerature T = Average temperatu
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= :ieat eddy dfusivity = Xoent eddy
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in Exchar.ge: Tubes”, Chem. Engr.
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Oil Gas J., 58 (38), 87—91 (Sept.
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U U F--I C) (f
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The o1ubi1ity of 5i/54°Cparafin wa
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— — .‘.ti+ c:Lic gravity The
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In section Al .4 the auount of pcra
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0 •) X S (N U ‘0 -° CD c-) ( -
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I-] H — C C) p 0’ H 0’ H CD C
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fully refined paraffin wax in keros
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— A12 — The cloud point decrens
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— A3 — Tnble A2.1 Ca1culccd c i
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calibration constants are given in
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— Al? — Table A3.3.1 Calibratio
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— A19 — APPENDIX 4 THE PRDGR’
Page 180 and 181: C NC = C C REiCS EACH SET OF RE[iJC
Page 182 and 183: 13.42 7.40 7.SC 33.90 33.10 13.8 0.
Page 184 and 185: TIME TI TO TKI TKC DPK EPW DPT V CF
Page 186 and 187: 81.15 7.45 7.7C 33.40 32.70 30.0 0.
Page 188 and 189: RUN A1C—4 TIME 1WI TWO TKI TKC DP
Page 190 and 191: RUN 82—6 TIME TiI TC TKI TKC OPK
Page 192 and 193: TIME TWI TWO TKI TKC OPK CPW OPT V
Page 194 and 195: RUN B7—1C TIME TWI TWC TKI TKO DP
Page 196 and 197: RUN B9—12 T V’E ThI TWC TKI TKC
Page 198 and 199: RUN C1—1t T1’E IWI TWO TKI TKC
Page 200 and 201: PUN C2—15 TIME T’iI T0 TK1 TKC
Page 202 and 203: }U•” C-16 TIME TWI TWO TKI TKC
Page 204 and 205: TIME flit TC TKI TKO DPK DPW OPT V
Page 206 and 207: UN C5-18 TIME TWI TfD TKI TKO DPK C
Page 208 and 209: 14.25 7.IC 10.2C 39.10 38.00 8.8 0.
Page 210 and 211: RUNJ C8-2C T[’E TWE T0 TKI (Hg) (
Page 212 and 213: TIVE M)*2 C) TWI TWO TKI TKC DPK op
Page 214 and 215: Tt’iE TWI TC TKI TKO OPK CPW DPT
Page 216 and 217: — A23 — APPENDIX 5 OALT2RATTUNS
Page 218 and 219: T—- TEI\iFERATUFE (°C) —I’ U
Page 220 and 221: d Average C Table A5.2 0.0452 0.025
Page 222 and 223: 11.1 6.517 10.5 6.418 10.1 6.346 9.
Page 224 and 225: — A27 — Tib1e A6.2 Pun Dl .irn
Page 226 and 227: -A29- Table A6.4 Pun 1)3 ‘ Time (
Page 228 and 229: Time — A51 — Table A6.5 Run D5
Page 232 and 233: — ;55 — 1.7.3 Dimensionless Exp
Page 234 and 235: — = u — u = in — + ± + + or
Page 236 and 237: I A8.21 Data 2 Subroutines usng ite
Page 238 and 239: — ALf1 — Equations L.7.4.3 and
Page 240 and 241: — A1i•3 — Lt Prorran Use The
Page 242 and 243: DIM /\3.2./>. THE iJNI/E?j\I. \ELC)
Page 244 and 245: C DF1ENSIOH VIS(2.) REAL NUWSI INTE
Page 246 and 247: C C SUt3ROUTINE DATA INTEGER SR C C
Page 248 and 249: LI) I Li . 0 0 X .. (1•) U.. UI
Page 250 and 251: C C WRt 1E(6,’O) 60 FQR’AT(1HLf
Page 252 and 253: te 4Z’Xt’9’911’XZ’ 3DNVIS
Page 254 and 255: C C C C C )fl:O .0 DO ‘O 1=3,9,2
Page 256 and 257: C, .4:’. 0 0 —; —s iZ fl r;
Page 258 and 259: KINEMATIC VISCOSITY AT WALL 0.07407
Page 260 and 261: YP UP TP Y U T VIS TC CR PR 39.00 1
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