Slides - School of Engineering - University of Warwick

3.2 Basic Concept - Cont’d
A generic transport equation
∂ρu j φ
∂x j
= ∂
∂x j
(Γ ∂φ
∂x j
) + q φ . (3.1 F&P )
The numbers of equations and unknowns must be equal
∂ρu j φ 1
∂x j
∂ρu j φ 2
∂x j
= ∂
∂x j
(Γ ∂φ 1
∂x j
) + q φ , (1)
= ∂
∂x j
(Γ ∂φ 2
∂x j
) + q φ , (2)
∂ρu j φ N
∂x j
.
= ∂
∂x j
(Γ ∂φ N
∂x j
) + q φ .
(N)
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