Ch8-Internal Flows

Ch8-Internal Flows - • Special Case Uniform External Fluid Temperature 1 exp exp m o o s i m i p p tot T T T U A T T T mc mc R ∞ ∞-∆ = =-=

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Chapter 8 Internal Flows
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Velocity boundary layer develops on surface of tube and thickens with increasing x . Inviscid region of uniform velocity shrinks as boundary layer grows. Subsequent to boundary layer merger at the centerline, the velocity profile becomes parabolic and invariant with x ( hydrodynamically fully-developed flow).
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Thermal boundary layer develops on surface of tube and thickens with increasing x . Isothermal core shrinks as boundary layer grows. Subsequent to boundary layer merger, dimensionless forms of the temperature profile become independent of x (thermally-fully developed flow).
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Unformatted text preview: • Special Case: Uniform External Fluid Temperature , , 1 exp exp m o o s i m i p p tot T T T U A T T T mc mc R ∞ ∞ -∆ = =-=- ÷ ÷ ÷ ÷ ∆- & & m s m tot T q UA T R ∆ = ∆ = l l replaced by . m s T T T ∞ ∆ → l Note: Replacement of by T s,o if outer surface temperature is uniform. T ∞ ( 29 ( 29 , , ′′ =-′′ =-i i s i m o o s o m q h T T q h T T ≡ ≡ i h o h i o h D h D Nu Nu k k Concentric Tube Annulus...
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This note was uploaded on 02/01/2012 for the course MECH ENG 225 taught by Professor Koylu during the Spring '11 term at Missouri S&T.

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Ch8-Internal Flows - • Special Case Uniform External Fluid Temperature 1 exp exp m o o s i m i p p tot T T T U A T T T mc mc R ∞ ∞-∆ = =-=

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