Pressure Calculation for Manometers




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Hydrostatics: Manometer Example


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Manometer
Pressure





Manometers measure a pressure difference by
balancing the weight of a fluid column between the two pressures of
interest. Large pressure differences are measured with heavy fluids,
such as mercury (e.g. 760 mm Hg = 1 atmosphere). Small pressure
differences, such as those experienced in experimental wind tunnels
or venturi
flowmeters, are measured by lighter fluids such as water (27.7
inch H2O = 1 psi; 1 cm H2O = 98.1 Pa).
To calculate the pressure indicated by the manometer, enter the
data below. (The default calculation is for a water manometer with a
10 cm fluid column, with the answer rounded to 3 significant
figures.):





 

Inputs




  Height of fluid
column, h:
 
  m in ft cm mm

  Fluid density, r:
 
  kg/m^3 lb/in^3 kg/l g/cm^3






Answers









  Manometer Pressure, Dp:
 981  Pa

Pa
mmHg inH2O inHg
ftH2O psi atm


















Equations used in the
Calculation





The pressure difference between the bottom and
top of an incompressible fluid column is given by the incompressible
fluid
statics equation,







where g is the acceleration of gravity
(9.81 m/s2).




























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