Reverse osmosis perpetual motion machine

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Discussion Overview

The discussion revolves around a proposed perpetual motion machine utilizing reverse osmosis in a closed-loop system involving salt water and fresh water. Participants explore the feasibility of continuous flow and energy generation through this mechanism, while addressing the underlying principles of fluid dynamics, thermodynamics, and osmotic pressure.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant outlines a theoretical model where pressure differences between salt water and fresh water could allow for continuous flow, suggesting that the system could function as a perpetual motion machine.
  • Another participant challenges this model by arguing that the density of salt water varies with height, potentially leading to a reversal of flow through the porous plug.
  • Concerns are raised about whether the proposed machine can perform useful work, with some participants questioning the definition of perpetual motion machines (PMMs) in this context.
  • Some participants note that water diffusion may occur in the opposite direction than intended, complicating the proposed mechanism.
  • There are discussions regarding the energy dynamics of the system, including the implications of thermodynamic laws and the potential for cooling if energy is not returned to the salt water.
  • Questions are raised about the accuracy of the osmotic pressure calculations and the assumptions regarding the behavior of fluids under pressure.
  • Some participants express skepticism about the feasibility of the machine, citing thermodynamic principles that would prevent perpetual motion.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the feasibility of the proposed machine, with no consensus reached on its viability or the correctness of the underlying assumptions and calculations.

Contextual Notes

Limitations include the dependence on assumptions about fluid behavior under pressure, the variability of salt water density, and the unresolved implications of thermodynamic laws on the proposed system.

  • #61
Bystander said:
"WORNG!" Salt water is around 10ppm/atm more compressible than fresh water.

Bystander, could you give a reference for this please?
 
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  • #62
DaveC426913 said:
It is not clear yet that the RO system will stop when it releases some amount of potential energy and settles to equilibrium. (We're all sure it does, we're just not sure how or where.)

For a dilute solution, letting r be the ratio between the column height and the fundamental length scale {i_H k_B T}({\kappa g})^{-1} (where \kappa is the difference in mass between a solute molecule and the solvent it displaces), reverse osmosis occurs iff the concentration at the semipermeable membrane (as a fraction of the mean concentration) is less than r. Thus the solvent will start cycling (provided r>1 and that the solution is initially mixed and not yet settled), however, at equilibrium (when the Archimedean force balances the osmotic potential gradient) the concentration increases exponentially with depth and the reverse osmosis cycle halts because the concentration at the membrane is \frac{r}{1-e^{-r}}.

Not sure yet how to generalise this to non-dilute solutions.
 
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  • #63
Here is a detailed explanation: http://www.lhup.edu/~dsimanek/museum/osmosis.htm

The tone of the linked webpage is condescending at times (and starts off that way), but the information is useful.
 
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