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@wikipedia


Amount of of heat required  required to change the temperature of one unit of volume by one unit of temperature:

...

Volumetric Heat Capacity depends on the way the heat is transferred and as such is not a table property of the mattermaterial property.


The two major heat transfer processes are isobaric and isohoric which define:

Isobaric specific volumetric heat capacityIsochoric specific volumetric heat capacity

LaTeX Math Inline
body--uriencoded--c_%7Bvp%7D

LaTeX Math Inline
body--uriencoded--c_V%7BvV%7D


Both

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body--uriencoded--c_%7Bmp%7D%7Bvp%7D
 and
LaTeX Math Inline
body--uriencoded--c_%7BmV%7D
 are characterising the properties of matter and
%7BvV%7D
 are material properties and properly tabulated for the vast majority of materials.


Volumetric Heat Capacity 

LaTeX Math Inline
bodyc_v
 relates to Specific Heat Capacity  
LaTeX Math Inline
bodyc_m
  and density of the matter 
LaTeX Math Inline
body\rho
 as:

...

In many technical papers the "m" or "v"   index  index is omitted which leads to confusion between  Specific Heat Capacity 

LaTeX Math Inline
bodyc_m
and Volumetric Heat Capacity 
LaTeX Math Inline
bodyc_v
.

The other confusion is made between Volumetric Heat Capacity 

LaTeX Math Inline
bodyc_v
 and Isohoric Isochoric Heat Capacity
LaTeX Math Inline
bodyc_V
.

For multiphase fluid in thermodynamic equilibrium the Volumetric Heat Capacity 

LaTeX Math Inline
bodyc_v
 is:

LaTeX Math Block
anchorXMWVD
alignmentleft
c_v = \sum_\alpha s_\alpha c_{v \alpha}

where

LaTeX Math Inline
bodys_\alpha

LaTeX Math Inline
body\alpha
-phase volume share, subjected to
LaTeX Math Inline
body\sum_{\alpha} s_\alpha = 1

LaTeX Math Inline
body--uriencoded--c_%7Bv \alpha%7D

LaTeX Math Inline
body\alpha
-phase Volumetric Heat Capacity

See also

...

Physics / Thermodynamics / Thermodynamic processHeat Transfer / Heat Capacity

[ Heat ] [ Specific heat capacity ]