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 ] + ρvU + 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