A source of thermal energy (heat) $\begin{array}{l}E_H\end{array}$ with a reference to location in 3D space.

The quantitative value is given by the pace of thermal energy variation (production or consumption) per unit time:

(1)	$\begin{array}{l}\displaystyle W_H({\bf r}) = \frac{\delta E_H}{\delta t}\end{array}$

where

$\begin{array}{l}{\bf r}\end{array}$

Symbol	Dimension	SI units	Oil metric units	Oil field units
$\begin{array}{l}W_H\end{array}$	M¹L²T⁻³	W	W	BTU/hr

The total volume of Heat Source contained in a given volume $\begin{array}{l}\Omega\end{array}$ can be calculated as:

(2)	$\begin{array}{l}\displaystyle W_H({\bf r}) = \int_{\Omega} q_H({\bf r}) d V\end{array}$

where

$\begin{array}{l}q_H({\bf r})\end{array}$

Heat Source Density at point $\begin{array}{l}{\bf r}\end{array}$

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See also