Technical Equations

Technical Equations

Centrifugal Force    Concentration     Flow Heating and Cooling    Humidity    
Viscosity     Ohm's Law

Centrifugal Force

Relative centrifugal force

rcf = (11.18 x 10-6) RN

R = rotating radius in cm
N = rotation speed in rpm

Concentration
Molar (M) =
Moles of solute
Liters of solution
Weight % =
Grams of solute x 100%     
Grams of solute + grams of solvent
Volume % =
Liters of solute x 100%
Liters of solution
ppm =
mg of solute
kg of solution
=
mg        
Liters of water

Flow

CV factor

Q =
CV
(G/ΔP)1/2

Q = flow rate (GPM)
CV = flow coefficient
G = specific gravity
ΔP = pressure drop (psi)

Heating and Cooling

Cooling capacity of chillers

Btu/hr =
ΔT (°F) x Specific heat of fluid
flow rate (GPM)

Specific heat of water = 500 Btu/hr/GPM/°F
Specific heat of oil = 350 Btu/hr/GPM/°F

Heating water in tanks

kW =
Volume (gallons) x ΔT (°F)
325 x Heat-up time (hours)

Heating oil in tanks

kW =
Volume (gallons) x ΔT (°F)
800 x Heat-up time (hours)

Heating flowing water
kW = Flow (GPM) x ΔT (°F) x 0.16

Humidity

Absolute humidity (as g/m3)

D =
804        
1 + 0.00633t
x
e   
PO
D =
H   
100
x
804        
1 + 0.00633t
x
e   
PO

Dew point temperature (as °C)

T =
237.3/7.5 - 1
log e - 0.786
e =
H   
100
x eS
eS = 6.1078 x 107.5t/(237.3 + t)

Relative humidity (as % RH)

RH =
e  
eS
x 100 =
D  
DS
x 100

H = relative humidity (% RH)
PO = standard air pressure (mm Hg)
D = absolute humidity (g/m3)
e = water steam pressure (mm Hg)
DS = absolute humidity in saturation (g/m3)
eS = saturated water steam pressure (mm Hg)
t = temperature (°C)
T = dew point temperature

Viscosity

Absolute viscosity = kinematic viscosity x density

density = units of specific gravity or g/mL
(eg. poise = stokes x g/mL)

Ohm's Law

Ohm's Law

Volts

Volts = √Watts x Ohms =
Watts  
Amperes
= Amperes x Ohms

Amperes

Amperes =
Volts
Ohms
=
Watts
Volts
= √
Watts
Ohms

Ohms

Ohms =
Volts    
Amperes
=
Volts2
Watts
=
Watts    
Amperes2

Watts

Watts = Volts x Amperes = Amperes2 x Ohms =
Volts2
Ohms