§3位势涡度方程 B ∧ a asasasaS L-+v—+1 热力学能量方程的改写P y z aS aS aS Vs+Vu-+vy+vw (a)+(b) r ⅤS|=VS VS·B vS√∧F r§3 位势涡度方程 ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + + ∇ ∧ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎟ = ⋅ ∇ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ∇ ⋅ F B V dt d S a a ˆ ˆ ˆ ˆ ˆ ρ ρ ρ ω ρ ω 1 ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = ∂ ∂ + ∂ ∂ + ∂ ∂ + ∂ ∂ ⋅∇ T Q z S w y S v x S u t ˆ a S ρ ϖ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎥ = ⋅∇ ⎦ ⎤ ⎢ ⎣ ⎡ ∂ ∂ + ∇ ∂ ∂ + ∇ ∂ ∂ ⋅ ∇ + ∇ T Q z S w y S v x S S u dt ˆ a d ˆ a ρ ϖ ρ ω a aa a d SS S SS V u v w dt x y z SB Q S F T ω ωω ρ ρρ ω ρρ ρ ⎛ ⎞ ⎛⎞ ⎡ ⎤ ⎛ ⎞ ∂ ∂ ∂ ⎜ ⎟ ⎜⎟ ⋅∇ =∇ ⋅ ⋅∇ − ⋅ ∇ +∇ +∇ ⎢ ⎥ ⎜ ⎟ ⎝ ⎠ ⎝⎠ ⎝ ⎠ ∂ ∂ ∂ ⎣ ⎦ ∇⋅ ∇ ⎛ ⎞ + + ⋅∇ + ⋅∇∧ ⎜ ⎟ ⎝ ⎠ r rr r r r r 热力学能量方程的改写 (a) (b) (a)+(b):