Background and Motivation: Importance of Pressure Measurements
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- Domenic Jordan
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1 Imornce of Pressre Mesremens: Pressre s rmry concern for mny engneerng lcons e.g. lf nd form drg. Cvon : Pressre s of fndmenl mornce n ndersndng nd modelng cvon. Trblence: Velocy-Pressre-Grden ensor whch cn be decomosed no he ressre dffson nd ressre-srn ensors s crcl for modelng rblence eseclly ner bondres. However de o he lck of he eermenl cbly hs ensor hs never been mesred drecly*. Bckgrond nd Movon: Imornce of Pressre Mesremens 1 Pressre dffson Pressre-srn Velocy-Pressre-Grden *Hs been deermned bsed on blnce of ll oher erms n rblence knec energy rnsor eqon e.g. L nd Thoms (004 Gmrk nd Wygnnsk (1976 nd Wygnnsk nd Fedler (1969.
2 Bckgrond nd Movon: Toolbo Avlble for Pressre Mesremen Avlble Technqes for Pressre Mesremen Are Qe Lmed: Srfce Pressre Mesremen: Pressre s ledng o rnsdcers; Srfce flsh-moned ressre rnsdcers Pressre sensve n. Pressre Mesremen wy from Bondres: Po Tbe; Fve Hole Probe nd Seven Hole Probes. Drwbcks: Inrsve; Freqency resonse s lmed; Pon mesremen no smlneos globl d.
3 Bckgrond nd Movon: Obecves Obecves nd nqe Feres of he Presen Mehod: To develo sysem h cn mesre he nsnneos globl ressre dsrbon n non-nrsve mnner bsed on PIV echnology. The sysem lzes for-eosre PIV o mesre he dsrbon of merl cceleron nd hen negrng o obn he ressre feld. The sysem cn mesre he nsnneos velocy merl cceleron nd ressre feld smlneosly.
4 Prncles of he Technqe Nver-Sokes Eqon: D D Obn he merl cceleron D bsed on PIV echnology. D Two KK CCD cmers Two orhogonlly olrzed dl-hed Nd:Yg lsers Domnn erm For consecvely eosed mges Wh mesred reference ressre one on one cn negre he ressre grden feld o obn he nsnneos ressre dsrbon. Neglgble for hgh Re flow nd n regons wy from he wll Two consecve velocy vecor ms D D vecor m
5 Obnng he Merl Acceleron from For-Eosre PIV Imges Eosre 1 (Cmer 1 Lser lse 1 Lser lse Lser lse 3 Lser lse 4 Eosre (Cmer Eosre 3 (Cmer 1 Eosre 4 (Cmer Tme ( ( ( 4 ( 13 Prcle Gro Prcle Gro Vecor M 4 Vecor M 13 D D ( ( 13 4 / Merl Acceleron: ( 13( 4 / / Lgrngn Velocy:
6 Vrl Bondry Omn-Dreconl Inegron Inegre he mesred vecor m of merl cceleron srng from reference on. To redce ncerny se Vrl Bondry Omn-Dreconl Inegron over he enre flow feld o obn he nsnneos sl ressre dsrbon: Merl Acceleron Vecor M Vrl Bondry Omn- Dreconl Inegron Insnneos Pressre Dsrbon Inegron o obn ressre
7 Fesbly Sdy wh Synhec Imges: Pre Roonl Flow Eosre 1 Eosre Eosre 3 Eosre 4 Overled mges 1 nd 3 Overled mges nd 4 Imge sze: els Inerrogon wndow : 33 el. Prcle densy: 5 rcles er nerrogon wndow. Prcle sze: Gssn dsrbed wh men dmeer of.4 el sndrd devon of 0.8 el. Prcles roed beween mges. Roon Re: =0.065/sec. Tme nervl beween consecve mges: d=0.5 sec. Theorecl flow feld: =-y; v=.
8 Demonsron sng Synhec Vore Flow Sl Pressre Dsrbon Rdl Pressre Dsrbon Pressre (Arbrry n 1 r C Mesred from he synhec vore flow d. r (el Mgnde of Merl Acceleron PDF of he Relve Error of Pressre Inegron h Averged shores h omn-dreconl negron s lzed for ressre clclon n order o mnmze he error. Probbly Densy Fncon (100% Probbly Densy Fncon (100% Sndrd Devon of he Relve Error =1.% Relve Error (100%
9 Synhec Imge: Consn Srn Re Flow (Sgnon Pon Flow Eosre 1 Eosre Eosre 3 Eosre 4 Imge sze: el Prcle Inensy: 5 er nerrogon wndow of 33 el Inerrogon wndow sze: 33 el Srn Re: S=0.05 (1/sec. Tme Inervl beween mges: 0.5sec. Prcle sze: Gssn dsrbed wh men dmeer of.4 el sndrd devon of 0.8 el.
10 Resls of he Consn Srn Re Flow (Sgnon Pon Flow Velocy Vecor M = v = -y Merl Acceleron Mgnde Conor Rdl Pressre Dsrbon 1 S r C Acceleron Vecor M PDF of he Relve Error of Pressre Probbly Densy Fncon (100% Sndrd Devon =1.9% Relve Error (100%
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