where CS
is the control surface CV is the control volume
n1, n2, n3 are the unit outer normal vectors to the
control surface
A1, A2,
A3 are the areas at
stations 1, 2, and 3
V1, V2
are the velocities of the fluid entering the control surface
V3 is the
velocity of the fluid leaving the control surface
ρ is the density of the fluid
θ is the angle at station 3
P1A1, P2A2,
P3A3 are the pressure forces acting on the CS at 1,
2, and 3
Gravity, g, is taken to be into the
paper so that the weight of the fluid in the
CV does not contribute to the forces
else it would need to be included. |