Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
23 Cards in this Set
- Front
- Back
|
No-Slip Condition |
The requirement that at the interface between a fluid and a solid surface, the fluid velocity and surface velocity are equal. Thus if the surface is fixed, the fluid must obey the boundary condition that fluid velocity=0 at the surface. |
|
|
Boundary Condition |
ada |
|
|
Mass Balance |
(rate in)-(rate out) +generation=rate of accumulation =A( dh/dt) |
|
|
Standard acceleration of gravity |
g=9.80665 (m/s^2) |
|
|
Volumetric flow rate |
Q= V*A (m^3/s) |
|
|
Mass flow rate |
mass entering system = mass exiting system
ρ1 A1 v1 = ρ2 A2 v2 mass flow rate in kg/s or lbm/s |
|
|
Incompressible fluid |
ρ1 = ρ2
|
|
|
Volumetric flow rate
|
Q = A v in m^3/s or ft^3/s
Q1 = Q2 |
|
|
Buoyancy force
|
FB = γf VD
FB = buoyancy force γf = specific weight of fluid VD = volume displaced by an object |
|
|
Center of Pressure Equation
|
Fr = Pc A = γ hc A
Yr = Yc + Ixc / (Yc A) |
|
|
Center of Pressure
|
Magnitude of resultantforce is equal topressure of centroidof surface x surfacearea
Result force acts at thecentroid of thepressure distribution,NOT centroid ofsurface! |
|
|
Friction |
τ = μ dV/dY
dy=gap dv= velocity |
|
|
Absolute Pressure |
Pabsolute = Pgage + Patmosphere
|
|
|
Atmospheric Pressure
|
101 KN/m2 = 14.7 psi
|
|
|
Density
|
ρ = mass / unit volume (kg/m3, slugs/ft3)
ρwater = 1000 kg/m3 = 1.94 slugs/ft3 |
|
|
Specific weight
|
γ = weight / unit volume (N/m3, lb/ft3)
γwater = 9810 N/m3 = 62.4 lb/ft3 |
|
|
Specific Gravity
|
ρfluid / ρwater = γ fluid / γ water
|
|
|
Force on Submerged Surface |
∫p*dA
∫((ρ*g*h)/gc)*dA Horizontal Force: ∫((ρ*g*h)/gc )*dydz Vertical Force: ∫((ρ*g*h)/gc)*dxdz) Width= dz |
|
|
Volume Balance |
h*π*(D^2)=π*d^2*(∆L)
|
|
|
Mass Balance |
∫accumulation=∫A dh/dt
|
|
|
Gage Pressure |
Pressure absolute-pressure atmosphere |
|
|
Vacuum Pressure |
Pressure atmosphere - P absolute |
|
|
Variation of Pressure with Depth |
∆P=-ρg∆z
|
