Bulk Modulus and Fluid Elasticity

Introduction and definition of Bulk Modulus Elasticity - commonly used to characterize compressibility of fluids

The Bulk Modulus Elasticity is a material property characterizing the compressibility of a fluid - how easy a unit of the fluid volume can be changed when changing the pressure working upon it.

bulk modulus elasticity

The Bulk Modulus Elasticity can be expressed as

E = - dp / (dV / V)         (1)

where

E = bulk modulus elasticity

dp = differential change in pressure on the object

dV = differential change in volume of the object

V = initial volume of the object

The Bulk Modulus Elasticity can be alternatively expressed as

E = dp / (dρ / ρ)         (2)

where

dρ = differential change in density of the object

ρ = initial density of the object

An increase in the pressure will decrease the volume (1). A decrease in the volume will increase the density (2).

  • The SI unit of the bulk modulus elasticity is N/m2 (Pa)
  • The imperial (BG) unit is lbf/in2 (psi)
  • 1 lbf/in2 (psi) = 6.894 103 N/m2 (Pa)

A large Bulk Modulus indicate a relative incompressible fluid.

Bulk Modulus for some common fluids can be found in the table below:

Bulk Modulus - E Imperial Units - BG
(105 psi, lbf/in2)
SI Units
(109 Pa, N/m2)
Acetone 1.34 0.92
Carbon Tetrachloride 1.91 1.32
Ethyl Alcohol 1.54 1.06
Gasoline 1.9 1.3
Glycerin 6.31 4.35
Mercury 41.4 28.5
Paraffin Oil 2.41 1.66
Petrol 1.55 - 2.16 1.07 - 1.49
SAE 30 Oil 2.2 1.5
Seawater 3.39 2.34
Water 3.12 2.15

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