Formulæ: Flow of Fluids & Bernoulli's Equation
Fluids
Volume
Flow
Rate
:
Q
=
A
v
(
m
3
/
s
)
Mass
Flow
Rate
:
M
=
ρ
Q
(
k
g
/
s
)
Weight
Flow
Rate
:
W
=
γ
Q
(
k
N
/
s
)
Continuity
Equation
:
A
1
v
1
=
A
2
v
2
General
Energy
Equation
:
P
A
γ
+
z
A
+
v
A
2
2
g
=
P
B
γ
+
z
B
+
v
B
2
2
g
\begin{array} {rrcl} \textsf{Volume Flow Rate}: & Q & = & Av \quad\left(\mathsf{m^3/s}\right)\\[0.25cm] \textsf{Mass Flow Rate}: & M & = & \rho Q \quad\left(\mathsf{kg/s}\right)\\[0.25cm] \textsf{Weight Flow Rate}: & W & = & \gamma Q \quad\left(\mathsf{kN/s}\right)\\[0.5cm] \textsf{Continuity Equation}: & A_1v_1 & = & A_2v_2\\[0.5cm] \textsf{General Energy Equation}: & \frac{P_A}{\gamma}+z_A+\frac{v_A^2}{2g} & = & \frac{P_B}{\gamma}+z_B+\frac{v_B^2}{2g} \end{array}
Volume Flow Rate
:
Mass Flow Rate
:
Weight Flow Rate
:
Continuity Equation
:
General Energy Equation
:
Q
M
W
A
1
v
1
γ
P
A
+
z
A
+
2
g
v
A
2
=
=
=
=
=
A
v
(
m
3
/s
)
ρQ
(
kg/s
)
γ
Q
(
kN/s
)
A
2
v
2
γ
P
B
+
z
B
+
2
g
v
B
2