2008级(�)第22次课

2008级(�)第22次课 - P l s(stokes s t...

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P /s l+ ——— ¨ ts¿ ª* (stokes) ¨ t s¿ ª * ¨ t s¿ ª * --- ¨ ts¿ ª *
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Γ P /s l+ , Σ Γ P /s l+ , Γ Σ ¸ã ¡¿ ª* , ) , , ( z y x P , ) , , ( z y x Q , ) , , ( z y x R ã ¡¿ ª Σ ÷ ã ¡¿ ª* , ã ¡¿ ª* (stokes) dxdy y P x Q dzdx x R z P dydz z Q y R ) ( ) ( ) ( - + - + - ∫∫ Σ Γ + + = Rdz Qdy Pdx ª *
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n Γ 6h½ ª vs¿ ª* Γ Σ x y z o ) , ( : y x f z = xy D Γ C n ° Σ z y , Σ ° , C Σ ± 4h½ ª Γ xoy y y xy D .
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1 2 ds y P z P dxdy y P dzdx z P ) cos cos ( γ β - = - ∫ ∫ ∫ ∫ Σ Σ Η∑ , cos cos γ - = β y f y ds f z P y P dxdy y P dzdx z P y γ cos ) ( + - = - ∫ ∫ ∫ ∫ Σ Σ
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dxdy f z P y P dxdy y P dzdx z P y ) ( + - = - ∫ ∫ ∫ ∫ Σ Σ , )] , ( , , [ dxdy y x f y x P y dxdy y P dzdx z P xy D ∫ ∫ ∫ ∫ - = - Σ y f z P y P y x f y x P y + = )] , ( , , [ 1
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∫ ∫ = - c D dx y x f y x P dxdy y x f y x P y xy )] , ( , , [ )] , ( , , [ dx y x f y x P dxdy y P dzdx z P c ∫ ∫ = -
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