CS CE FS FE mC PC mF PF T T T T q C q C CS FS G CS CE FS FE CE FE T T K S Ln T

Cs ce fs fe mc pc mf pf t t t t q c q c cs fs g cs ce

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. . CS CE FS FE mC PC mF PF T T T T q C q C  . ( ) .(( ) ( )) CS FS G CS CE FS FE CE FE T T K S Ln T T T T T T ( ) ( ) . . . . ( ) e e CS FS CE FE G G CS FS C F T T T T K S K S DTM T T Ln T T   . . . . ( ) sortie entrée G G sortie entrée T T K S K S DTM T Ln T     . . S D L , DTM : Différence de température logarithmique moyenne Flux mis en jeu dépend des températures de sortie des deux fluides T CS et T FS non connues à priori et donc à calculer. )) ( ) ( ( ) ( x T x T dS K x d F C G ( ) . . . . mC PC C mF PF F d x q C dT q C dT  C PC mC F C G dT C q x T x T dS K )) ( ) ( ( . ( ) ( ) . C G C F mC PC dT K dS T x T x q C  -6-
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( ) ( ) 1 1 exp( . . .( + ). ) . . C F G CE FE mC PC mF PF T x T x K D x T T q C q C ) ) 1 1 ( exp( x C q C q D K C q dx D K T T dT PF mF PC mc G PC mc G FE CE C ( ) 1 1 . 1 1 . ( + ) . . 1 1 .(exp( . . . .( + )) 1) . . C CE CE FE mC PC mC PC mF PF G mC PC mF PF T x T T T q C q C q C K D x q C q C ( ) . . ( . + . ) 1 1 (exp( . . . .( + )) 1) . . C CE mF PF CE FE mF PF mC PC G mC PC mF PF T x T q C T T q C q C K D x q C q C te décroissan chaude e Températur : 0 ) ( dx x dT C Un calcul similaire donnera la température locale du fluide froid : F PF mF F C G dT C q x T x T dS K )) ( ) ( ( -7-
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. ( ) . ( . + . ) 1 1 (1 exp( . . . .( + )) . . mC PC F FE CE FE mF PF mC PC G mC PC mF PF q C T x T T T q C q C K D x q C q C * x=L : Températures des deux fluides à la sortie de l’échangeur. * En aucun cas on ne peut pas avoir: CS FS T T * Echangeur à courant parallèle infiniment long : températures de sortie des deux fluides identique : lim . . . . ( . + . ) mC PC CE mF PF FE CS FS mF PF mC PC q C T q C T T T T q C q C -8-
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V. CAS CONTRE-COURANT Travail similaire au cas co-courant : )) ( ) ( ( ) ( x T x T dS K x d F C G F PF mF C PC mC dT C q dT C q x d ) ( x C q C q D K T Ln PF mF PC mC G x ) 1 1 ( ) ( 0 ) ) 1 1 ( exp( ) ( ) ( x C q C q D K T T x T x T PF mF PC mC G FS CE F C A la sortie x=L : ) 1 1 ( ) ( PF mF PC mC G FS CE FE CS C q C q S K T T T T Ln
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  • Fall '16
  • Convection, froid, flux thermique, Échangeur de chaleur

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