37 2016 3 3 Vol.37, No.3 JOURNAL OF ENGINEERING THERMOPHYSICS Mar., 2016 ! $ " # %'&' (')'* +-, .'/'0 13UXWZ23YZ43[353\Z63]Z73^383_Z93`Z:3;3aZ<3b3=3cZ>3dZ?3e3@3fZA3gZBDh3CFeZiE3G aZmZn3PZQZo3pZqZM3NZOZP3QZRZW3Y HJ I 3 K 3 L 3 M 3 N 3 O 3 P 3 Q 3 R 3 S V T [3\3P3r3Q3S3o3s3p3t3L3[3M3\3N3u3O3v P3Cxw3Q3y3R3z33{3S3 [3\ZZu33vZZ_3g3`33aZZL}33|~xZ33nZP3C WZQ3Y Z{Zg3 Ckq j3L3lMZWZN3Y3O3[3PZ\ZQ3[3RV\Z3UXS3g}Z| 3S3sZSZO3[3Z\Z3[33\3m 4g33C x3 P3Q3o3p33{ 4C WZY3[3\Z3 C P34DQZx{o3p3 r3[3C \3v 633 ~ z3{ 3¡33¢3£3¤3M3¥ N3O3P3Q3R g3h3e3i W3Y3[3\ [3\3Zg ¥ ¦3§3¨3©3ª ¦3«3¬ 有 Study on Phase Change Flow and Heat Transfer 所 Characteristics of Chevron Corrugated 权Plate 版 》 报 学 理 物 热 程 工 《 n c . t ® 0 ­ ¯±°±²±³±´±µ±¶±·±¸±¹±°±²±³±´±º±»±¼±³±½±¾ ñ ëÅìÅòÅóÅpä.CiDÅe° EÙ 7FGH IJK äÅõÅö Ù ¿ÁÀÃÂÅÄÅÆÅÇÁÀÃÈÅÉÅÊÅËÅÌÅÍÅÎÁÀÃÏÅÐ ½Å¾ÅÑ ÀÃÒÅÓ è L 0 ¼±t³±ý M±í × NPORQ 'Ù S · CD±° T BU ÔÅÕÅÖÅ×ÅØ ÙXÚÅÛÅÜÅÝÅÞ ·ÅßÅàŲųÅáÅâÁãX¯Å° µ j²Åe³Åä × ¯ÅåVžÅíÅëÅìÅïÅð Ù ëÅìÅò ²Å³Å´ÅäůÅåÅæÅçÅèÅéÅêÅæÅëÅìůÅíÅî Ù ëÅìÅïÅð À /ó / ë ¿ ã Ö 34 $ ³ ë ¿±ñ ë±ì±ò±ó±ô±õ±ö±é±ê±æ±ë±ì±¯±²±³±÷ ̱ñ±ø p: Z[\] ¶±é±ê±æ±ë±ì±¯ ^_±²±³±ä±W õ±Ù ö Ù'&X( Y ^ Ù ÍÅù ÷ÅäÅúÅûÅîÅüÅýÅþ ã _±²±³±½±¾ `K ] ] ä ab ñ Z[\] ä c t t Ö ÿ ¼Å³Åý ñ h ý dadb Ù ³ dXdY õ ö H fe dË 5 d`dK ] ] dñ Z ¾ ëÅìÅïÅðÅä Ù ë±ìÅï±ð [d\d] äddcdddc Ù ³ dXdY ä õ ödg H ãihdj Ö k dñ l dÎ m "d#d$ é ê æ ë ì ¯ Zd[dn  ² ³ » !ã º± ñ qrn±Â s ß tu±ä 챯 "#$±¾ Þ% Ù T$ Z[opn±Â± %  )!*+ ¶±é±é±ä ê±æ±ë±  )±Ì ,-. ä / ² ³ ñ dË 5 ù ÷ AdB $ n  ½ d¾ CdD ° iã vdwdx 0 ã'Ù &( Ö ÅÞ 1 % ä Ô234 éÅê Ö y Þ rdz V iÙ ¾ 7 2 ¶ ë ì ! dÿ { ¯ ° Z & ´d"d# æ±ë±ì±¯±ä Ë 56 ²±³ ù ÷ 'Ù 7 "#8 9 % $±¾ % 'Ù &( Z & ²±³±½±¾ `|Y ä c} ä:;Å÷ Ù Â) % * 8 ä<=> è? Ù W c Ù Z[~Åñ Ø 5 ÑÁã Ö @AB $ ý ñ ¼±³±ý C±·±ë±ì±ï±ð À ë ¿ ÿ ¾ % 34 $±é±ê±æ±ë±ì±¯ ? q I ä <3= 35 ~ ²´ ¶µ¸· C¦¹ºC ¡£¢ ¤ C¦¥C¦§¨©C¦ª«¬­®¯°±3j3l ³ ( 310027) 20%∼100% 75◦ : TK124 LI Ming-Chun : A XIAO Gang : 0253–231X(2016)03–0581–05 SHI He-Chun LIU Huan-Lei CHEN Dong LUO Zhong-Yang (State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou 310027, China) Abstract A three dimensional model was established for chevron corrugated plate and numerical simulation was carried out to study the flow and heat transfer characteristics of evaporation process of chevron corrugated plate with different inclination angles, and the results were compared with single-phase flow. The results indicates that the evaporation process has little effect on the flow pattern of fluid in chevron corrugated plate. The corrugated inclination angle is main influence factor on the distribution of gas volume fraction. The heat transfer coefficient of two-phase is larger than singlephase by 20%∼100% under the same inclination angle. With the increasing of inclination angle, heat transfer of evaporation increases and heat transfer performance is the best when inclination angle is 75 ◦ . Key words chevron corrugated plate; numerical simulation; evaporation; heat transfer coefficient [1,2] 66.5◦ / = 2.73 Kim [7] [3] [4] Focke j f 72◦ SST k-ε Lee Kanaris [6] 10% (1991– ) [8] [9] (LES) 2015-01-09; [5] [10] 2016-02-20 (No.51336006) email xiaogangtianmen@zju.edu.cn ^ ½ \ ¼½¾ 5½¿ æÀ Ù rÁ $±ë±ì±ï±ð±¶ æÀ ä±õ öÂà ãÄh Í B Ù"! u ñ # õö±í$%&' ÄÙ # αñÅÆ ¶±é±ê±æ±ë±ì"#$ % Ù T±²±³ ÅíŶ(ÁãÃëÅìÅïÅðÅä)+*Ví Àë ¿ í À ëÅìÅòÅóÅí ý è 6 ý ëÅìÅïÅð À ë ¿ è 6 ëÅì ¯ÅåÅä ù, Vž Ô Ø- ÿ Ù ò±ó±äÇ NÈÉ Ù'7±ÞÊË Ã̱¶±é±ê±æ±ë±ì /Ù .0 ä ëìVž - ã ¯ ÿ{ ?Vä Î N ¼Å³ÂÃ"#$ rÁ ã + é±ä 34 ßMͱè±é±ê±æ±ë±ì± ¯ ?U µ ²±³±ä±¾ % ñ 8 í±î Ù ¶±é±ê±æ±ë±ì±¯ ? & m µÇ ä±²±³ ù ÷ 34ÎÏ 'Ù Ðѱ ¾ % ä Ô234 $±é±ê±æ±ë±ì±¯? & mZ ÿ & µÇ ä ä Ò & 6 × N º±» Ó Ô ä6 Õ²±Ö³ ×ù ØÁ÷ ã Ù ¶±¯±° Z & ´± » 582 37 [11] j 45◦ ∼75◦ mm 2 f 10 mm 1 ÙÛÚÛÜÛÝÛÞÛß 有 M3N3R3u133g23 1.1 àáâãäåæçè 所 y Þ ¾r 6%òéóê ô Gambit "#ëì I äí À Å ±ê äõö ã'÷ø y±Þ ä±é±ê 版权 îðï äñ è æ±ë±ì±¯±î ùúû í 100 mm (ü )×50 mm (ý )Ù 4 1 57678797:7;=<=>@?=A=B þÿ 1(a) ã}é±ê±æ±ë±ì±¯ { ? q±Â Ä Ù 》 Table 1 Geometric parameters of chevron òf> î çÁä Ø Ù ýfí 报 éÁêÁ¯Á corrugated plate yÅÞ ÂÅÄ N ä I îðï Ù þÿ 1(b) 学ã ò 3 P 3 Q 3 o p 3 P 3 P CD Q 3g ódô ê ädõdö þ u " y Þ WdY Ù 理 B y Þ Ë 1 2 Fig. 2 Schematic diagram of characteristic parameters of chevron corrugated plate β/(◦ ) 物 热 h/mm 4 4 4 45 60 75 程 λ/mm 10 10 10 ðîEï Fä±G¾ H] I¶J÷K ø±» - ±ä±õ±ö Ù ¾ ] ÏLM Þ¾ ÷] øQ?@ÏR MÙ ÷ø WÍY ?@nÎNOõ±Pö;÷Yø H ¿ Ù ýîðï ÞS Ù Y Ù î 0T ä îðï ¾ ] ¶t÷.øcUC± V ü!ã"W W ÙÄ ï ¾ ] Ó Ôie ÷ø P Y A ¿ Î í±»X Ù ý ÙZY[C ±y ÷ pÞ.ÿH ä Bîðï ±$ ¾é±"ê±#¯ \]÷ä ±ø îðè ï 9 î ï ä$± ÿ{ F_` t Ù 3^ 1.2 工 《 e j // : p t ht 1 289414 271325 234095 M3N3O3P3Q3R33t3 Fig. 1 Geometric structure and mesh of chevron corrugated plate ab3v A c 3 Fig. 3 Grid independence test 4 ¢ ¤e M3N3O3P3Q3R {3 S3s3t3[3\3u3v j3l d 583 tÁãgf ÿ 3 h èi B Ù î ï ¾ 25 j ÁÙgk m Ç N Ùnm îðï ¾ ]po ¾ N u SÐHl& W Ì,qr P Yst ã 1.3 âãuväwHxy z{ Fluent14.5 |}~ { vof RNG k-ε z{ {£¤ ¥ " ¡¢ ©ª«¬z{ PISO ¨ ®¹º»¼½­ ­®¯°±²p³@´µ·¶¦¸ §udf ®¾¿µÀ¯ÁÂÀÃÄÅ+³=°ÆDz 373 KÅÈ ÉÊË Ç² 400 K Ì Ê ÆnÍÎ Ë ²ÏЫn ­®pÑ@º»Ò¡ÓpÔ@ Õ ÓpÔ ~ ZÖ× Ø !"#$%'&($) ÕÙ+Ú=ÛÜÝ ªÞß Ðàá« 有 2 âäãäåäæäçäèäéäê *+权 ,-所./ Î þÔ 0 *+ 21 3 4 5 6 7 89 β = 60 Ù 2.1 ëìíîïðñòóô õ 4(a)∼(c) ö÷øùúû ² 45 ü 60 ý Õ 版 ¯ “ ” ² <>= ? @ 8È Õ : ; ÿ þ p õ « ÿ õ Ñ ¯ 》 I Î 75 Ù β = 45 Ù +þÕ ² “ 报 É þ AF BC D@ EF ö -.GH ½ Î / J 9 öØ ABLCLK þ ß-. Ô ” Ø Î Õ 学 M NL²L “ O - β =”75 Ù Ø - . C D @ÈÉÕL 理 物 Ap K þ@²ØW ÕPQRS GLHTXY G «VIUZ3 热 ­® ÕÙÕ ~GH\] ¯ [ ² ¼ ½ | Õ 程 « } ^ 工 2.2 ëìíîï _w ` a n 《 õ 5(a)∼(c) ö÷øcùb còúóû ô ² 45 ü 60 ý .L8 ù Ë ¾ öLd õ «eõ Ñ 75 Ùt ¯ Z8 iùeË È¾ ØfögÕ Ó Ô'hjijk ^ pl.Uj? Ú'm ¿ ØÕ ­®Ñ'nм½ ¿ Ô7¾ ejtojpjuXqjrYv« βw =45D ¾ Ù j8 ù Ë ¾ ² Øjfö gy /szjØ t8 T Ë v w D Ø9 fög 1/ x8 / ù “{ | ” β = 60 Ù : ù Ë ¾ Øfög k ^ ¦ Ô Õ ÓpÔ } Ë p t ¾ ØfögtT I~pÔ Õ ÓpÔ } Ë ¾ t h Ø fÓpö Ô g t ^ Ë D ¿} J “{ I| ”~pUÔ ? ÚÓp m¦ Ô Ô Õ Ë È¿} Ð t, ¼½ Õ 9 }"8 Ë ¾t q Vr ELβ =³75 ÙFD ù Øfö gsØtL²^ U? “{| ” ödt Úem úû t ^ Ù ¿ ØÕË È M¿ N ² “ O - ” « | “ ” } ö d 2.3 ëìíîï òóô õ 6(a)ü (b) ö÷ ? }~úûÙ W Ð Ð g ¯Á¼½ M Ð g Re g M 3 : 4 Fig. 4 Streamlined diagram at different inclination angles ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ N O «õ 6(a) ¯ }~úû É W É Ð( W g Ð Re g k ^ k ^ V@ k ~ kRe^ g , ¢ T β= 60 Ù g Ð g £ ú^ û«¤ õ ^ 6(b) ¯j ~úû É ¼½ M Ð j Ðj 584 37 ¡ ◦ 有 所 权 版 》 报 学 理 物 热 程 工 《 !"#­®¯ ° 6 h Re ¯±²³´) Fig. 6 Variation of heat transfer coefficient h with Re number at different inclination angles 9 ~ g µ W É Ð W Ð ngз ¼¸ ½ 20%∼100% ¶ M Re g }~ k m jk. c ÐÐj g «(Uú¾ û ^ et w ^ ¹β = 75 Ùj² gj £ ^ .þ@Ø ¾ifö g úû Iº 45N»Ù ¼ p 9 p ² Øfö2g½ sؾ tT g t= J? e8 túË û D E 60 Ù º y ; Ø fö ¾ g k ^ jË ¢ù 9 ² x “ { ¾ | ” r sØ / Ð / f T úû 75y Ù ¿ Øj®föjgjt : p ^N E ö ¼d ½ ÐV Z3“{ | ”x t úT û k ^ ^ ¼½ À t ht M Ð g k ^ « 3 ç Á Y¯ ²ÃÄ |Å I­ gÆ Ç ÓÃÄ E pþ@½ß¼½ M Ù Õ Á Ð È Ü z< +É þ= ½Ê ß1 ¼É½ Ë M +þ 1) Ù W X Y 9 Õ Õ 8 Ë ~ ¾ w t !"#¥¦§¨©ª«¬ 2) úû| ù Ø f ö g ö d ^ \] úût^Ù ¾ Øfögt^}Ì D ◦ ◦ ◦ ◦ 5 Fig. 5 Gas phase distribution at different inclination angles 3 Í ÎÏÐÑ Ò ÓÔ¥ª²$ÕÖ­×ØÙÚ É ¼½ M Ð Ð g g · ¸ 20%∼100%9 \ ]¼½ M Ð g gk ^ « { | ”9 Wµ 3) ~Ð úÐ û ¾ Ø fö 4) úû k ^ ÛÝÜÝÞÝß îàï á Îâã ¥ä­åÖ­æçèéêëìí ðñòóôõö÷ “ [1] [2] [3] , [7] [8] . 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