Mt: Equation Of Change For Multi-component System

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MT: Equation of change for multi-component system Instructor Date

:Dr. Nurul Hasan :27/04/09

Universiti Teknologi PETRONAS

Multi-component system

♦Continuity equation ♦Momentum equation ♦Energy equation ♦Few applications

Continuity equation for multicomponent system ∂ρα = −( ∇.ραV ) − ( ∇. jα ) + rα ∂t ∂ρ = −( ∇.ρV ) ∂t

( ∇.V ) = 0

Application 1 B is moving A reacts to form C Steady state

dc A ∂ 2c A v0 = DAB 2 − k1′′c′ A dz ∂z

Equation of change multicomponent system ∂ρwα = −( ∇.nα ) + rα ∂t ∂ρv = −( ∇.φ ) + ρg ∂t  ˆ 1 2 ∂ρ U + v  2   = −( ∇.e ) + ρv.g ∂t

Equation of change multicomponent system

nα = jα + ρα v

φ = π + ρvv  ˆ 1 2 e = q + [π .v ] + ρvU + v  2  

Application 2 Condensation of A T (y) xA(y) B Stagnant Layer

Application 3

What we learn’t today?

♦Continuity equation-MC ♦Momentum equation-MC ♦Energy equation-MC ♦Few applications

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