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

Carnot Engine Operating Upon Exhaustible Thermal Potential with Respect to Heat paper posted

A paper titled “Carnot Engine Operating Upon Exhaustible Thermal Potential with Respect to Heat” has been posted to the HeatSuite Journal.

Abstract:

A Carnot engine bridges a thermal potential to perform work. Since one or both reservoirs are exhaustible, the potential is nonrenewable. A formula for the progression of cumulative work performed as well as instantaneous efficiency rate as a function of cumulative heat flow is derived, and an example is presented. A simulator in the Ruby programming language is utilized to plot these relationships.

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.

 

Exponential Growth Simulator Utilizing the Ruby Language

A paper titled Exponential Growth Simulator Utilizing the Ruby Language has been posted.

Abstract:

The nature of exponential growth is discussed, and background and characteristics of the Ruby programming language are provided. An exponential growth simulator written in the Ruby programming language is presented, along with sample results.

 

 

Welcome to HeatSuite

Welcome to HeatSuite. This site contains introductory thermodynamic simulations, chiefly written in Ruby and Ruby on Rails. The Rails simulations may be embedded in web pages or used on their own in a browser window. The Ruby simulations are for more advanced students, and can be run “as is” or altered as needed.

There are also supporting papers in the HeatSuite Journal, which may be of interest primarily for educators.