Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

@wikipedia


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

LaTeX Math Block
alignmentleft
 c_pm =  \frac{\partialdelta Q}{\partialdelta T}m \left(cdot \frac{\delta Q}{\delta m} \right)_pT} 


SymbolDimensionSI unitsOil metric unitsOil field units

LaTeX Math Inline
bodyc_

p

m

L2 T−2 Θ−1J/(kgK)J/(kgK)

 BTU/(lbm°F)


Specific Heat Capacity depends on the way the heat is transferred and as such is not a material property.


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

Isobaric specific heat capacityIsochoric specific heat capacity

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

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


Both

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


Specific Heat Capacity 

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

LaTeX Math Block
anchor1
alignmentleft
c_m =  \rho \cdot c_v


In many technical papers the "m" or "v" 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
.


For multiphase fluid in thermodynamic equilibrium the Specific Heat Capacity 

LaTeX Math Inline
bodyc_m
 is:

LaTeX Math Block
anchor1
alignmentleft
c_m = \frac{\sum_\alpha s_\alpha \rho_\alpha c_{m \alpha}}{\sum_\alpha s_\alpha \rho_\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\rho_\alpha

LaTeX Math Inline
body\alpha
-phase Fluid Density

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 ] Volumetric Heat Capacity ]