FE Exam Formulas Ch. 8 Flashcards by Unknown Unknown

Purpose and Variables of…

Density Formula

rho=density
m=mass
V=volume

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Purpose and Variables of…

Specific Weight Formula

gamma=specific weight
W=weight
V=volume

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Purpose and Variables of…

Specific Weight Using Mass

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

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Purpose and Variables of…

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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Purpose and Variables of…

Density of Homogeneous Fluids

rho=density
m=mass
V=volume

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Purpose and Variables of…

Specific Weight of Homogeneous Fluids

gamma=specific weight
W=weight
V=volume

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Purpose of…

Fahrenheit to Celsius

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Purpose and Variables of…

Fahrenheit to Rankine

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Purpose and Variables of…

Kelvin to Celsius

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Purpose and Variables of…

tau=shear stress

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Purpose and Variables of…

Normal Stress Component

taun=normal stress
P=pressure

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Purpose and Variables of…

Tangential Stress Component

taut=tangential stress
mu=absolute dynamic viscosity

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Purpose and Variables of…

Kinematic Viscosity Formula

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

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Purpose and Variables of…

Linear Velocity Profile

v=velocity
delta=cylinder clearance

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Purpose of…

Shear Rate

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Purpose and Variables of…

Pressure Equation Between Two Elevations

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

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Purpose and Variables of…

Nonlinear Model for Fluids

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

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Purpose and Variables of…

Surface Tension

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

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Purpose and Variables of…

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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Purpose of…

Manometer Pressure

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Purpose of…

Barometer Pressure

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Purpose and Variables of…

Atmospheric Pressure Head

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

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Purpose and Variables of…

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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Purpose and Variables of…

Depth of Resultant Force Location

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

Purpose of...

Resultant Force on a Vertical Plane Surface

Purpose and Variables of...

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

Purpose and Variables of...

Pressure on a General Vertical Plane Surface phat=pressure rho=density g=gravity (32.2) hc=height from centroid

Purpose and Variables of...

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

Purpose and Variables of...

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

Purpose and Variables of...

Mass Flow Rate (One Dimensional Flow) m=mass flow rate rho=density Q=volumetric flow rate

Purpose and Variables of...

Volumetric Flow Rate (One Dimensional Flow) Q=volumetric flow rate v=average flow velocity A=area

Purpose and Variables of...

Continuity Equation (One Dimensional Flow) v=average flow velocity A=area

Purpose and Variables of...

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

Purpose of...

Elevation of Hydraulic Gradient

Purpose of...

Elevation of Energy Grade Line

Purpose and Variables of...

Energy Equation

Purpose and Variables of...

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

Purpose and Variables of...

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

Purpose and Variables of...

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

Purpose of...

Maximum Velocity in Circular Tubes in Laminar Flow

Purpose of...

Maximum Velocity in Parallel Plates in Laminar Flow

Purpose of...

Maximum Velocity in Fully Turbulent Flow

Purpose and Variables of...

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

Purpose and Variables of...

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

Purpose and Variables of...

Fluid Shear Stress Distribution tau=shear stress at r tauW=shear stress at R (wall)

Purpose and Variables of...

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

Purpose and Variables of...

Pump (Brake) Power Equation W=power H=head increase Q=volumetric flow rate rho=density etapump=efficiency of pump

Purpose and Variables of...

Purchased Power Equation Wpurchased=purchased power W=power etamotor=efficiency of motor

Purpose and Variables of...

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

Purpose and Variables of...

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

Purpose and Variables of...

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

Purpose and Variables of...

Power Law Reynolds Number K=flow consistency index n=power law index

Purpose and Variables of...

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

Purpose and Variables of...

Orifice Flow Discharge C=coeffiecient of discharge v2=veolicty of fluid exiting the orifice

Purpose and Variables of...

Orifice Flow Discharge C=coeffiecient of discharge v2=veolicty of fluid exiting the orifice

Purpose and Variables of...

Orifice Flow Discharge C=coeffiecient of discharge v2=veolicty of fluid exiting the orifice

Purpose of...

Venturi Meters