Volumetric heat capacity
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Volumetric heat capacity (VHC) describes the ability of a given volume of a substance to store heat while undergoing a given temperature change, but without undergoing a phase change. It is different from specific heat capacity in that the VHC depends on the volume of the material, while the specific heat is based on the mass of the material. If given a specific heat value of a substance, one can convert it to the VHC by multiplying the specific heat by the density of the substance. [1]
Dulong and Petit predicted in 1818 that ρcp would be constant for all solids (the Dulong-Petit law). In fact, the quantity varies from about 1.2 to 4.5 MJ/m3K. For fluids it is in the range 1.3 to 1.9, and for gases it is a constant 1.0 kJ/m3K[citation needed].
The volumetric heat capacity is defined as having SI units of J/(m³·K). It can also be described in Imperial units of BTU/(ft³·F°).
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[edit] Thermal inertia
Thermal inertia is a term commonly used by engineers modelling heat transfers when referring to the volumetric heat capacity. For example, this material has a high thermal inertia. Or, thermal inertia plays an important role in this system, which means that dynamic effects are prevalent in a model, so that a steady-state calculation will yield inaccurate results.
It is a scientific analogy, rather than a physical parameter defined by mass and velocity. In mechanics, inertia is what limits the acceleration of an object. But in a similar way, it is the thermal mass and the velocity of the thermal wave which controls the surface temperature. In heat transfer, a higher value of the volumetric heat capacity means a longer time for the system to reach equilibrium.
Thermal inertia is modeled as a function of the density, specific heat, and heat capacity of a material.
Thermal inertia is the key property controlling the diurnal surface temperature variations and is dependent on the physical character of the top surface. It represents a complex combination of particle size, rock abundance, bedrock outcropping and the degree of induration. In geologic applications, Thermal Inertia can be defined as the amplitude of the diurnal temperature curve (or the maximum minus minimum surface temperature). The temperature of a material with low thermal inertia changes significantly during the day, while the temperature of a material with high thermal inertia does not change as drastically. Deriving and understanding the thermal inertia of the surface can help to recognize small-scale features of that surface. In conjunction with other data, thermal inertia can help to characterize surface materials and the geologic processes responsible for forming these materials.
[edit] Constant volume and constant pressure.
For gases it is useful to distinguish between volumetric heat capacity at constant volume and at constant pressure. This distinction has the same meaning as for specific heat capacity.
[edit] Reference
- ^ U.S. Army Corps of Engineers Technical Manual: Arctic and Subarctic Construction: Calculation Methods for Determination of Depths of Freeze and Thaw in Soils, TM 5-852-6/AFR 88-19, Volume 6, 1988, Equation 2-1
