5.1 One dimensional Inviscid Flow Relations

In the previous lectures, we have derived the one dimensional relation for mass, momentum and energy equations for steady, adiabatic and inviscid flow. The 1-D control volume and the obtained relations are recalled herewith,

Fig.3.1 Control volume for 1-D flow

Mass Conservation Equation

ρ₁u₁A = ρ₂u₂A
ρ₁u₁ = ρ₂u₂
ρu = constant

Momentum Conservation

P₁ + ρ₁u₁² = P₂ + ρ₂u₂²
P + ρu² = constant

Energy Equation

Hence mass momentum and energy equations for 1D steady, inviscid, adiabatic flow without body force are,

ρu = constant

5.1

P + ρu2 = constant

5.2

5.3