모두CBT
직각좌표계에 적용되는 가장 일반적인 연속방정식은 ∂ρ∂t+∂(ρu)∂x+∂(ρv)∂y+∂(ρw)∂z=0\dfrac{\partial\rho}{\partial t} + \dfrac{\partial(\rho u)}{\partial x} + \dfrac{\partial(\rho v)}{\partial y} + \dfrac{\partial(\rho w)}{\partial z} = 0∂t∂ρ+∂x∂(ρu)+∂y∂(ρv)+∂z∂(ρw)=0으로 주어진다. 다음 중 정상상태(steady state)의 유동에 적용되는 연속방정식은?
∂ρ∂t+∂(ρu)∂x+∂(ρv)∂y+∂(ρw)∂z=0\dfrac{\partial\rho}{\partial t} + \dfrac{\partial(\rho u)}{\partial x} + \dfrac{\partial(\rho v)}{\partial y} + \dfrac{\partial(\rho w)}{\partial z} = 0∂t∂ρ+∂x∂(ρu)+∂y∂(ρv)+∂z∂(ρw)=0
∂(ρu)∂x+∂(ρv)∂y+∂(ρw)∂z=0\dfrac{\partial(\rho u)}{\partial x}+\dfrac{\partial(\rho v)}{\partial y}+\dfrac{\partial(\rho w)}{\partial z}=0∂x∂(ρu)+∂y∂(ρv)+∂z∂(ρw)=0
∂u∂x+∂v∂y+∂w∂z=0\dfrac{\partial u}{\partial x} + \dfrac{\partial v}{\partial y} + \dfrac{\partial w}{\partial z} = 0∂x∂u+∂y∂v+∂z∂w=0
∂ρ∂t+ρ∂u∂x+ρ∂v∂y+ρ∂w∂z=0\dfrac{\partial\rho}{\partial t}+\rho\dfrac{\partial u}{\partial x}+\rho\dfrac{\partial v}{\partial y}+\rho\dfrac{\partial w}{\partial z}=0∂t∂ρ+ρ∂x∂u+ρ∂y∂v+ρ∂z∂w=0