Fourier’s Law with Exhaustible Reservoirs paper posted

A paper titled “Fourier’s Law with Exhaustible Reservoirs” has been posted to the HeatSuite Journal.

Abstract:

Fourier’s Law of Conduction is reviewed, then considered with exhaustible reservoirs. Differential equations are expressed for the rate of flow of thermal energy versus time, Those equations are solved, and formulas are derived for cumulative thermal energy flow versus time. Several cases of reservoirs are presented. Example results are provided.

 

Hot reservoir on left, conductor in center connecting reservoirs, and cold reservoir on right.

Thermal conductor bridging hot and cold reservoirs

Newton’s Law of Cooling paper posted to Journal

A paper titled “Newton’s Law of Cooling” has been posted to the HeatSuite Journal.

Abstract:

Fourier’s Law is introduced. Fourier’s Law is shown as a prelude to Newton’s Law of Cooling, then contrasted with that law. Newton’s Law of Cooling derived and demonstrated with an example. A simulation produces additional results which show rapid temperature decline and then a long ”tail”.

 

Reproducing Carnot Engines Operating Across Inexhaustible Heat Reservoirs

A paper titled “Reproducing Carnot Engines Operating Across Inexhaustible Heat Reservoirs” has been posted to the HeatSuite Journal.

Abstract:

A Carnot engine operates across a thermal potential to produce work. This work is utilized to build additional Carnot engines, thus generating growth in consumption and production, similar in form to exponential growth. The impact of engine build cost upon growth is explored. A simulator in the Ruby programming language is discussed.