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FE Exam Formulas > FE Exam Formulas Ch. 8 > Flashcards

FE Exam Formulas Ch. 8 Flashcards

1
Q

Purpose and Variables of…

A

Density Formula

rho=density
m=mass
V=volume

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2
Q

Purpose and Variables of…

A

Specific Weight Formula

gamma=specific weight
W=weight
V=volume

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3
Q

Purpose and Variables of…

A

Specific Weight Using Mass

gamma=specific weight
g=gravity
m=mass
V=volume

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4
Q

Purpose and Variables of…

A

Specific Gravity Formula

SG=specific gravity
g=gravity (32.3 ft/s^2)
gamma=specific weight
gammaw=specific weight of water (62.43 lbf/ft^3)

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5
Q

Purpose and Variables of…

A

Density of Homogeneous Fluids

rho=density
m=mass
V=volume

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6
Q

Purpose and Variables of…

A

Specific Weight of Homogeneous Fluids

gamma=specific weight
W=weight
V=volume

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7
Q

Purpose of…

A

Fahrenheit to Celsius

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8
Q

Purpose and Variables of…

A

Fahrenheit to Rankine

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9
Q

Purpose and Variables of…

A

Kelvin to Celsius

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10
Q

Purpose and Variables of…

A

tau=shear stress

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11
Q

Purpose and Variables of…

A

Normal Stress Component

taun=normal stress
P=pressure

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12
Q

Purpose and Variables of…

A

Tangential Stress Component

taut=tangential stress
mu=absolute dynamic viscosity

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13
Q

Purpose and Variables of…

A

Kinematic Viscosity Formula

upsilon=kinematic viscosity
mu=absolute dynamic viscosity
rho=density

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14
Q

Purpose and Variables of…

A

Linear Velocity Profile

v=velocity
delta=cylinder clearance

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15
Q

Purpose of…

A

Shear Rate

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16
Q

Purpose and Variables of…

A

Pressure Equation Between Two Elevations

Pn=pressure at elevation
gamma=specific weight
zn=elevation
rho=density
g=gravity (32.2)

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17
Q

Purpose and Variables of…

A

Nonlinear Model for Fluids

taut=tangential stress
K=flow consistency index
n=power law index

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18
Q

Purpose and Variables of…

A

Surface Tension

sigma=surface tension
F=surface force at interface
L=length of interface

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19
Q

Purpose and Variables of…

A

Capillarity

h=height of liquid in vertical tube
sigma=surface tension
beta=angle made by liquid with tube wall
gamma=specific weight of liquid
d=diameter of tube

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20
Q

Purpose of…

A

Manometer Pressure

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21
Q

Purpose of…

A

Barometer Pressure

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22
Q

Purpose and Variables of…

A

Atmospheric Pressure Head

h=head
p=pressure
rho=density
g=gravity (32.2)
gamma=specific density

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23
Q

Purpose and Variables of…

A

Force at a Distance

FR=force at a distance
Patm=atmospheric pressure
rho=density
g=gravity
yc=distance
theta=aligned surface angle

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24
Q

Purpose and Variables of…

A

Depth of Resultant Force Location

ycp=depth of resultant force
yc=distance
Ixc=area moment of inertia of the submerged surface

25
Q

Purpose of…

A

Resultant Force on a Vertical Plane Surface

26
Q

Purpose and Variables of…

A

Depth of the Center of Pressure

ycp=depth of resultant force
yc=distance
Ixc=area moment of inertia of the submerged surface

27
Q

Purpose and Variables of…

A

Pressure on a General Vertical Plane Surface

phat=pressure
rho=density
g=gravity (32.2)
hc=height from centroid

28
Q

Purpose and Variables of…

A

Location of the Center of Pressure of Plane Surface

hcp=location of center of pressure
hc=height from center
Ic=moment of inertia at centroid
A=surface area

29
Q

Purpose and Variables of…

A

Buoyant Force

rho=density
g=gravity (32.2)
Vdisplaced=displaced fluid volume within submerged body

30
Q

Purpose and Variables of…

A

Mass Flow Rate (One Dimensional Flow)

m=mass flow rate
rho=density
Q=volumetric flow rate

31
Q

Purpose and Variables of…

A

Volumetric Flow Rate (One Dimensional Flow)

Q=volumetric flow rate
v=average flow velocity
A=area

32
Q

Purpose and Variables of…

A

Continuity Equation (One Dimensional Flow)

v=average flow velocity
A=area

33
Q

Purpose and Variables of…

A

Bernoulli’s Equation

P=pressure
gamma=specific density
v=flow velocity
g=gravity (32.2)
z=elevation

34
Q

Purpose of…

A

Elevation of Hydraulic Gradient

35
Q

Purpose of…

A

Elevation of Energy Grade Line

36
Q

Purpose and Variables of…

A

Energy Equation

37
Q

Purpose and Variables of…

A

Darcy-Weisbach Equation

f=Darcy friction factor
D=diameter of pipe
L=length over which the pressure drop occurs
epsilon=roughness factor for pipe
(epsilon/D)=relative roughness

38
Q

Purpose and Variables of…

A

Reynolds Number

rho=mass density
D=diameter of pipe
mu=dynamic viscosity
upsilon=kinematic viscosity

39
Q

Purpose and Variables of…

A

Laminar Flow Equation

r=distance from centerline
R=distance between plates or radius of tube
v(r)=local velocity at r
vmax=velocity at centerline of a duct
vhat=average velocity

40
Q

Purpose of…

A

Maximum Velocity in Circular Tubes in Laminar Flow

41
Q

Purpose of…

A

Maximum Velocity in Parallel Plates in Laminar Flow

42
Q

Purpose of…

A

Maximum Velocity in Fully Turbulent Flow

43
Q

Purpose and Variables of…

A

Hagen-Poiseuille Equation

r=radius of pipe
Pf=pressure drop due to friction
D=diameter of pipe
L=length of pipe
8muL/pir^4=flow resistance

44
Q

Purpose and Variables of…

A

Head Loss due to Pipe Fitting

P=pressure
gamma=specific density
v=flow velocity
g=gravity (32.2)
z=elevation
hf=head loss due to friction
hffitting=head loss due to fitting

45
Q

Purpose and Variables of…

A

Fluid Shear Stress Distribution

tau=shear stress at r
tauW=shear stress at R (wall)

46
Q

Purpose and Variables of…

A

Fluid Power Equation

Wfluid=power of fluid
H=head increase
Q=volumetric flow rate
hp=head added by pump
rho=density

47
Q

Purpose and Variables of…

A

Pump (Brake) Power Equation

W=power
H=head increase
Q=volumetric flow rate
rho=density
etapump=efficiency of pump

48
Q

Purpose and Variables of…

A

Purchased Power Equation

Wpurchased=purchased power
W=power
etamotor=efficiency of motor

49
Q

Purpose and Variables of…

A

Pump Power Equation

W=power
Q=volumetric flow rate
gamma=specific density
h=head the fluid has to be lifted
etat=total efficiency

50
Q

Purpose and Variables of…

A

Net Positive Suction Head Available

NPSHA=net positive suction head available
Hpa=atmospheric pressure head on the surface of the liquid in the pump
Hs=static suction head of liquid, height of the surface of the liquid above the pump
SigmahL=total friction losses in suction line
Hvp=vapor pressure head of liquid at operating temperature
pinlet=inlet pressure to pump
vinlet=velocity at inlet to pump
Pvapor=fluid vapor pressure of fluid being pumped

51
Q

Purpose and Variables of…

A

Net Positive Suction Head Available

NPSHA=net positive suction head available
Hpa=atmospheric pressure head on the surface of the liquid in the pump
Hs=static suction head of liquid, height of the surface of the liquid above the pump
SigmahL=total friction losses in suction line
Hvp=vapor pressure head of liquid at operating temperature
pinlet=inlet pressure to pump
vinlet=velocity at inlet to pump
Pvapor=fluid vapor pressure of fluid being pumped

52
Q

Purpose and Variables of…

A

Impulse-Momentum Principle

SigmaQ1rho1v1=the rate of momentum of the fluid flow entering the control volume in the same direction of the force
SigmaQ2rho2v2=the rate of momentum of the fluid flow leaving the control volume in the same direction of the force

53
Q

Purpose and Variables of…

A

Power Law Reynolds Number

K=flow consistency index
n=power law index

54
Q

Purpose and Variables of…

A

Stagnation Pressure for an Incompressible Fluid

v=velocity of the fluid
P0=stagnation pressure
Ps=static pressure of the fluid at the elevation where the measurement is taken

55
Q

Purpose and Variables of…

A

Orifice Flow Discharge

C=coeffiecient of discharge
v2=veolicty of fluid exiting the orifice

56
Q

Purpose and Variables of…

A

Orifice Flow Discharge

C=coeffiecient of discharge
v2=veolicty of fluid exiting the orifice

57
Q

Purpose and Variables of…

A

Orifice Flow Discharge

C=coeffiecient of discharge
v2=veolicty of fluid exiting the orifice

58
Q

Purpose of…

A

Venturi Meters

FE Exam Formulas (13 decks)

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