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daumic

I propose you the following conjecture: is it possible to convert directly solar energy in a mechanical form?

Imagine a thin sheet metal made in a strong material like steel, with a thickness approaching 50 µm. This sheet metal is drilled by a very great number of conical holes, the small opening of holes on a face of sheet, the large opening on the other face. The opening angle of these conical holes is very small, approximately 0.1 degree. The diameter of the small opening of holes must be very small, lower or equal to the mean free path of the gas in contact. For example, the mean free path of the molecules of atmosphere at sea level is 70 nanometers. If the gas in contact is the atmosphere at sea level, the diameter of the small opening must be lower than 70 nm, the diameter of the other opening can be bigger, approaching some hundreds nanometers.

The kinetic theory of gases makes the assumption that the collisions of gas particles with the solid walls in contact are perfectly elastic. The smallness of the diameter of conical hole in the part close to the small opening makes that the molecules of gas contained in the hole have more frequently shocks on the wall of hole that among them. The slope of the wall of hole modifies gradually the trajectories of gas molecules. Each elastic shock of gas molecule on solid wall modifies the angle between the speed vector of molecule and the axis of hole. For a molecule entering in hole by the large opening, the angle between the speed vector and the axis of hole increases with a value equal to the opening angle of hole after each shock on solid wall. For a molecule entering in hole by the small opening, the angle between the speed vector and the axis of hole decreases with a value equal to the opening angle of hole after each shock on solid wall. The molecules of gas which enter by the large opening have their trajectories gradually inverted by shocks on wall. These molecules don't reach the small opening of hole. On the contrary, the molecules of gas which enter by the small opening have their trajectories gradually made parallel to the axis of hole by shocks on the oblique wall. These molecules can't return towards the small opening.

The conical hole discriminates the molecules of gas according as they enter by its small or large opening. The molecules of gas entering in hole by the large opening have their trajectories inverted by the shocks on the wall of hole. They quit the hole by the large opening, so their contribution to the pressure applied on the face of the sheet metal is the same as if the holes are absent. On contrary, the molecules of gas which enter in hole by the small opening don't participate on the pressure applied on the face of the sheet metal but, by shocks on the wall of hole, generate a pressure on the opposite face of the sheet metal. If the surface occupied by the small openings represents 1 % of the total surface of the face of sheet metal, it could appear between the two faces of the sheet metal a difference of pressure of 2 %.

Simultaneously at this difference of pressure, a stream of gas through the small openings towards the large openings appears. This orderly movement shows a decrease of disorder of molecules of gas, translated by the decrease of the indicator of this disorder: the temperature. So a difference of pressure could be maintained by the heat of gas in contact. A force, proportional at the area of the sheet metal drilled by conical holes, could be recovered.

If this phenomenon occurs really, it could transform into mechanical form the solar energy stored in the heat of atmosphere. This use of solar energy could have the advantage to be free from the variability of daylight.

One can envisage two modes of manufacture: etching or bombing. Since some years, the single-crystal silicon used in the electronic industry knows new applications for the manufacture of micromechanical devices. The etching is the main tool of this new industry, and more particularly the anisotropic etching. This sort of etching affects the single-crystal silicon in variable speed according as the crystallographic orientation of the silicon surface. It is possible with this technique to make a great variety of holes, particularly conical holes.

The other mode of manufacture could be bombing. One knows how to make metal or ceramic aggregates with a diameter of some nanometers until some hundreds nanometers. Ionized and propelled in high speed by an electrostatic accelerator, these nanometric missiles could generate holes in a sheet metal. If the energy of these solid particles is suitably adjusted, one could, I believe, obtain conical holes. The smallest opening of the hole would be localized in the impact point of the particle and would have its diameter. This mode of ballistic manufacture doesn't necessitate single-crystal silicon as support. Current materials as the steel could be used.

I think that this phenomenon is not incompatible with the second law of thermodynamic. These sheet metal drilled by conical holes could be seen as a dissipative system, permitting the local apparition of negative entropy.

Dau.mic
rpenner
I haven't finished analyzing it, but this appears to be a simple heat engine. It will cease to function if the Earth and the Sun were in equilibrium. This means that this is no more "direct" conversion than a windmill or a water wheel.
daumic
QUOTE (rpenner+Nov 28 2007, 11:49 PM)
I haven't finished analyzing it, but this appears to be a simple heat engine. It will cease to function if the Earth and the Sun were in equilibrium. This means that this is no more "direct" conversion than a windmill or a water wheel.


I said this conversion is direct because there's no heater or rotating part as a classical thermal machine.
Enthalpy
Hi all!
Funny idea, quite refreshing from what we read usually on this forum.

About the feasibility:

- I completely disagree that collisions of gas particles with the walls are perfectly elastic. Quite the opposite. Gas molecules are adsorbed by the walls each time they hit, stay there for a long time, and are reemitted by the wall with a mean speed that depends on the temperature of the wall and not of the gas. So they are perfectly inelastic.

- If I read properly, you hope to get some gas movement from identical gas temperatures on both sides of the sheet? I have big doubts about this.

- Steel sheets of 50µm or much less are easy to find and process. Most drilling processes (laser, waterjet, liquid or plasma etching, electron beam...) make tapered bores - this is usually unwanted. You could lower the gas pressure to increase the diameters, as a hermetic glass cover is cheap, and then you could chose the gas.

May I suggest that you write less monolithic texts? With titles, bold words... You would get more chances to be read.

About the usefulness, just in case this has some importance:

- After thousands of years of engineering, rotating parts are appreciated, as we have off-the-shelf solutions for nearly every aspect. In fact, engineers are relieved when they can have a rotation instead of anything else - think of electric motors, steam turbines, gas turbines...

- Solar energy needs to be stored, transported, and produced cheaply. How many W you get from a m2 seems to be a key factor, just as how many $ a m2 costs. Then, concentrating light with cheap mirrors looks like a solution; The conversion through some combination of engine and generator is the easy part of it and has a rather good efficiency in W/W as well as W/$.

- I would prefer light to be converted by a biological or chemical process to a chemical form of energy. This does improve storage, transport, and hopefully costs. People think of growing kind of algae in flat closed glass containers (no water losses) in deserts.

But maybe you're interested rather in the trick, not in actual applications - perfectly respectable.
Enthalpy
OK, I've taken time to read this idea entirely. Enjoyed.

Manufacturing isn't a concern. Silicon can easily be avoided. One known cheap method is to damage many places of a thin plastic film by alpha rays from a radioactive material; Damaged places are then preferentially etched away by some chemical.

Nanoparticles bombardment looks fun, no idea if it works - this is an interesting feature for itself, independently of your converter. Manufacturing filters for instance would benefit from cheap methods; There, plastic films of 5µm to many 100µm are more common.

"Speeds gradually made parallel to the axis" and "decrease of disorder": They call it a nozzle, especially when the mean free path is smaller than the diameters. Elastic shocks don't occur with molecules and walls, but they nearly occur with ions and electrons in a magnetic bottle, which you may shape conical. Used as a nozzle in certain ion thrusters. So the intellectual idea of elastic shocks in a conus still stands.

Movement for free: I do believe your proposal contradicts the second law.

- You pretend all particles entering the wide end are sent back. This is false. Some get out at the small end. Basically, trajectories are just as acceptable if you invert time, when there are no losses. "All get out parallel at the wide end" only means "only the ones entering the wide end parallel to the axis will go through".

- You didn't tell about the pressure exerted by particles on the flat surface of the sheet, only at the openings...

My guess is that if you make a complete statistical computation (unfortunately, it is complicated: Take all positions, all directions, possibly all speeds) you will find the equilibrium I expect: The particle population at the narrow side need a precise position but accepts un imprecise direction to enter the conus, and is in equilibrium with a population at the wide side, composed of these particles with a precise direction but less precise position.
Enthalpy
Particles exiting and the narrow end are less scarce than I thought. If the wide end has twice the surface, then half of the particles entering the wide end exit the narrow end. This is as many particles as in the opposite direction.

The ones reflected are as many as the ones reflected byt the flat part of the sheet covering the conus.

Complete equilibrium then. No mean movement, no energy.

Over and out for my contribution.
daumic
Hello, Enthalpy



About the elastic shocks

I think that the gas molecules could have the two comportments, elastic and inelastic, according to the link energy between a gas molecule and the solid wall.

If the gas molecule has a kinetic energy smaller than the link energy with the solid wall, it remains glued on the solid wall after the shock. The gas molecule could quit the solid wall later when the thermal agitation permits that. In this case, the comportment of the gas molecule is inelastic.

If the gas molecule has a kinetic energy greater than the link energy with the solid wall, it doesn't be glued and the shock is elastic.

The link energy is small in regard of the kinetic energy of the gas molecules of atmosphere at its mean temperature. So the great part of gas molecules of atmosphere has elastic shocks with solid walls.



About the second law of thermodynamic

I think the device is not contradictory with the second law of thermodynamic.

The conical holes in the sheet metal break the symmetry between the face where are located the small openings of the holes and the face where are located the large openings of the holes. This dissymmetry breaks also the thermodynamic equilibrium.

This device made of a sheet metal drilled by conical nano-holes is a dissipative system. A dissipative system is a thermodynamically open system which is operating far from thermodynamic equilibrium in an environment with which it exchanges energy, matter and/or entropy.

The selective movement of gas molecules through the conical holes from the small openings to the large openings is the manifestation of an exchange of energy and entropy between the device and the gas in contact.


RealityCheck
.
Hi daumic!

Your setup seems to mimic 'convection' effect....only in a biased direction according to the geometry you describe.

If you set it up so the larger opening is on TOP side of a horinzontal sheet, then perhaps the 'bias' you envisage will enhance convection....such that the tendency for the lower side molecules going UPWARDS into the smaller opening is ALREADY (because of ambient pressure) greater than the tendency for the molecules on the upper side to go DOWN into the upper (larger) opening.

However, when heat is trasferred to molecules from the inner walls of the conical 'hole', the REBOUNDS/VIBRATIONS are randomised and not 'stratified/directed' unless the MEAN FREE PATH of INDIVIDUAL MOLECULES is very large and almost the length of the hole 'depth'.....and to get this large mean free path would mean a VERY RARIFIED 'working gas'...which in turn would mean very LOW MECHANICAL PRESSURE/energy density transported.

If the mean free path is NOT long and clear, the many collisions between the molecules will create a localised BACKPRESSURE so that molecules from the lower opening are PREVENTED from 'easy entry' in the first place.


What would happen then is RADIATION LOSSES of energy AS HEAT from the openings.....and the localised holes merely become HOT STAGNANT AIR 'spots' replacing the 'removed material' which would otherwise have been there to ABSORB and then ALSO RE-RADIATE as HEAT energy.


However, one never knows what 'unusual' scale/geometry/bias effects may 'emerge' from various setup/scale tests of your idea! So why not make a simple (small) cone 'pit' in a sheet of metal with a suitably sharpened (made extremely conical) drill bit and see what happens to 'smokey' air blown around the hole from both sides while in bright/hot sunlight (withn the sheet vertical, then horizontal and then in-betwwen etc.)?

Sorry I don't have more time! Cheers, good luck and good thinking, daumic, everyone!

RC.
.
PIATLAS
That reminds me, I have some food in the convection oven, and the timer was beeping ages ago.
RealityCheck
.
Hehehe. Bon appetite!....and it's good night from me, everyone!

.
Enthalpy
Elastic shocks never happen at a surface, because Von der Waal's energies are much bigger than kinetic ones.

In fact, any surface is covered with several layers of adsorbed gas. The energy binding the gas molecules decreases as more layers are absorbed (above the boiling point of course), leading to a self-regulation.

Now, the energy linking the outmost gas molecules to the wall is several times bigger than the thermal energy, as overcoming this binding energy by chance from time to time is enough to desorb the gas molecule. So gas molecules arriving at this outmost layer are adsorbed and stay a long time there. Perfectly inelastic.
daumic
QUOTE (Enthalpy+Mar 17 2008, 02:00 AM)
Elastic shocks never happen at a surface, because Von der Waal's energies are much bigger than kinetic ones.

In fact, any surface is covered with several layers of adsorbed gas. The energy binding the gas molecules decreases as more layers are absorbed (above the boiling point of course), leading to a self-regulation.

Now, the energy linking the outmost gas molecules to the wall is several times bigger than the thermal energy, as overcoming this binding energy by chance from time to time is enough to desorb the gas molecule. So gas molecules arriving at this outmost layer are adsorbed and stay a long time there. Perfectly inelastic.




Hello Enthalpy,

You are right about the comparison between kinetic energy of gas molecules at standard temperature and link energy with solid surface. The link energy is greater than kinetic energy.

The remarkable book of Atkins and de Paula ‘Physical chemistry’ gives the following results:

Maximum enthalpy of adsorption indicated in kJ/mole:
CH4 - 21
H2 - 84
H2O - 59
N2 - 21

By comparison, the mean kinetic energy of a mole of N2 is on order of 3.4 kJ at 273 K.

However, I maintain that the major part of shocks of gas molecules at standard temperature is elastic.

According to these values of enthalpy of adsorption, any solid surface in contact with atmosphere is quickly covered by a monolayer of water molecules.

What could be the enthalpy of adsorption of a second layer of gas molecules? The Van Der Walls forces that generate the adsorption act in a very short distance. So the enthalpy of adsorption of a second layer could be probably smaller.

The solid surface could be covered by multiple layers of gas molecules until the enthalpy of adsorption of the last layer is sufficiently diminished to be in the same level of the mean kinetic energy of the gas in contact.

If the kinetic energy of a gas molecule kicking a solid surface is smaller than the enthalpy of adsorption of the last layer of adsorbed molecules, the gas molecule remains glued: the shock is inelastic. If the kinetic energy of gas molecule is greater than the enthalpy of adsorption of the last layer, the shock of gas molecule is elastic. The molecules in the inner layers are too strongly linked to be moved by the shocks of gas molecules.

I concede to you that the comportment of gas molecules could be massively inelastic in some circumstances: the desorption of water molecules when the void is created in a closed volume or a gas near its condensation temperature.


An example of reality of elastic shocks

The microfluidic is the technology of very small devices where liquids and gas are manipulated. The micropumping by thermal accommodation, an element of this new technology, uses tiny pipes to manipulate gas. The diameter of these pipes must be on the same order of the mean free path of gas. The comportment of gas is different according the state of inner surface of these pipes. If the surface is rough, a difference of temperature between the ends of pipe doesn't generate a flow of gas molecules in the pipe. If the surface is smooth, a difference of temperature between the ends of pipe generates a flow of gas molecules in the pipe. This comportment of gas molecules is only intelligible if the shocks of gas molecules on the surface of pipe are elastic.

Enthalpy
Read a bit.
And be somewhat honest.
Nature won't change because you need it.
daumic
QUOTE (Enthalpy+Mar 28 2008, 02:05 AM)
Read a bit.
And be somewhat honest.
Nature won't change because you need it.


Hello Enthalpy,

I make the conjecture that the movement of gas molecules in small conical tunnels could convert the heat in a useful force.

This conjecture is based on the assumption that the shocks of gas molecules on solid wall are elastic.

The comportment of gas molecules in these small conical tunnels is the same that in the cylindrical tubes used by thermal accommodation micropump.

The scientists describing the comportment of the gas in these tiny tubes used in thermal accommodation micropump assert that the trajectories of molecules hitting the tube surface are specular.

If the trajectories of molecules are specular, the shocks are elastic.

Scientific articles about thermal accommodation micropumping are available on internet.

I give here a list of some articles:
- étude expérimentale d'écoulements gazeux dans les microsystèmes à fluides by P. Lalonde,
- Monte-Carlo analysis of lobular gas-surface scattering in tubes by J.D. Smith and C. A. Raquet,
- la physique des microécoulements by S. Colin,
- effets de raréfaction dans les micro-écoulements gazeux by S. Colin and L. Baldas.
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