Using the isobaric process to extract useful energy from the atmosphere by utilising different intake and exhaust expansion ratios

Goran Dakov

Overview of existing facts

The model of a gas as being made of independent particles is a well known and old physics. To simplify things, various “processes” have been devised which simplify things by keeping one parameter constant.

One such process is the isobaric process. (constant pressure). Now the isobaric process can convert heat to potential energy at a constant efficiency, without requiring a temperature difference. This is a known fact. However cyclic operation so far requires a temperature difference and would operate very close to Carnot efficiency. (In theory could reach it).

The isothermal process, is accuring at constant temperature. Tho work done in a isothermal process is described in the following equation:

$\mathrm{\Delta }W=nRT\mathrm{ln}\left(\frac{{P}_{2}}{{P}_{1}}\right)$
(1)

New ideas

A device is construed which would utilise isothermal heat engines (more precisely, approximately isothermal). A larger cylinder is evacuated. After this, a smaller cylinder fills it to pressure ${P}_{3}$
in multiple strokes from a contant pressure source (pressure
${P}_{0}$
). Now, for each stroke, the quantity in the logarhythm (expansion ratio) will be decreasing due to increasing pressure inside. It ends in expansion ratio of
$\frac{{P}_{3}}{{P}_{0}}$
. Thus all but the last stroke have larger expansion ratios.

The incoming air is 6 Kelvin below atmospheric temperature, and it stays the same temperature. (This might not be required; it might work with atmospheric intake. But is included to simplify modelling)

$\frac{{P}_{3}}{{P}_{0}}=0.9$

 Stroke Volume Ratio 1 0.531 1.882 2 0.590 1.694 3 0.656 1.524 4 0.729 1.372 5 0.81 1.235 6 0.9 1.111 AVERAGE weighted 1.69

The average expansion ratio for 6 strokes is 1.69. (based on average logarhythm)

The valve between the cylinders is closed. The gas in the larger cylinder undergoes a short approximately adiabatic contraction until it reaches temperature of 4 Kelvin above the air temperature. It then contracts isothermally until reaching air pressure, after which, the air inside is pushed out.

 Item Balance x nRT Heat engine 0.525 Adiabatic -0.033 Compress >-0.105 Extra volume -0.034 Balance >0.353

Safety warning

This device might produce an entropy-accelerating compensation field, which will speed up heat transfers by modifying the speed of light in the mass energy equivalence equation. Due to that, it should only be run while the Planet neraby surface is cooling. Otherwise, if very powerfull power station is created, it could cause runaway heat-up.