Fluid Mechanics Equations
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26 Terms
Mass
m=ρV
Radial velocity
v=ωr
Friction force
F=τA
Power
p=Fv
Force
F=PA
Reynold’s Number
Re=ρUmD/μ
What is 1 bar equal to
105 Pa
What is 1 atm equal to
101,325 Pa
Hydrostatic force
F=PcA
Second moment of area around the center
Ixx,c=integral(y2dA)-yc2A
Angle dealing with acceleration
tan(θ)=-ax/(az+g)
When does Reynold turn into turbulent flow
Above 2300
Volume flow rate
Q̇=UA
Mass flow rate
𝑚̇=ρUA
What is 1 Litre equal to
1L=0.001m3
Momentum
F=𝑚̇V2-𝑚̇V1
head loss
hL=W/𝑚̇g
Fully developed flow water velocity
u(r )=Umax(1-r2/R2)
Change in pressure
ΔP=fL/D*ρU2/2
max velocity
Umax=ΔPR2/4μL
friction coefficient
f=64/Re
hydraulic diameter
D=4a/perimeter
Froude Number
Fr=V/(gh)0.5
Velocity in hydraulic jump
V1=1/2*g*h2/h1(h1+h2)
Loss coefficient
KL=ΔP/(1/2*ρ*U2)
Change in height
Y=L/2tan(theta)
Note 
Flashcards (36)