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Poynting effect

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The Poynting effect may refer to two unrelated physical phenomena. Neither should be confused with the Poynting–Robertson effect. All of these effects are named after John Henry Poynting, an English physicist.

Chemistry / Thermodynamics

The Poynting effect generally refers to the change in the vapor pressure of a liquid when a non-condensable gas is mixed with the vapor at saturated conditions. If one assumes that the vapor and the non-condensable gas behave as ideal gases and an ideal mixture, it can be shown that:[1]

where

pv is the modified vapor pressure
pv,o is the unmodified vapor pressure
vliq is the liquid specific volume
R is the liquid/vapor's gas constant
T is the temperature
P is the total pressure (vapor pressure + non-condensable gas)

As a common example, the ability to combine nitrous oxide and oxygen at high pressure while remaining in the gaseous form is due to the Poynting effect.

Entonox is a 50:50 combination of the anesthetic gas nitrous oxide and oxygen. This combination is useful because it can provide a sufficient concentration of nitrous oxide to provide analgesia (pain relief) in sufficient oxygen so that the risk of hypoxemia is eliminated. This makes it safe to use by para-medical staff such as ambulance officers. However the ability to combine these two gases at the temperature and pressure in the cylinder while remaining in the gaseous form is unexpected based on the known properties of the two gases.

The Poynting effect involves the dissolution of gaseous O2 when bubbled through liquid N2O, with vaporisation of the liquid to form a gaseous O2/N2O mixture.

Material science

In material science, the Poynting effect is a non-linear elastic effect observed when an elastic cube is sheared between two plates and stress is developed in the direction normal to the sheared faces, or when a cylinder is subjected to torsion and the axial length changes[2][3][4] [5];[6]

References

  1. ^ Wark, Kenneth Advanced Thermodynamics for Engineers. New York: McGraw-Hill, 1995
  2. ^ C. A. Truesdell, A programme of physical research in classical mechanics, Zeitschrift f¨ur Angewandte Mathematik und Physik 3 (1952) 79-95.
  3. ^ Paul A. Janmey, Margaret E. McCormick, Sebastian Rammensee, Jennifer L. Leight, Penelope C. Georges and Fred C. MacKintosh, Negative normal stress in semiflexible biopolymer gels.
  4. ^ L. Angela Mihai and Alain Goriely, Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials, Proceedings of the Royal Society A 467 (2011), 3633-3646.
  5. ^ L. Angela Mihai and Alain Goriely, Numerical simulation of shear and the Poynting effects by the finite element method: An application of the generalised empirical inequalities in nonlinear elasticity, International Journal of Non-Linear Mechanics 49 (2013), 1-14.
  6. ^ HAN-CHIN WU, Continuum Mechanics and Plasticity in: David Gao and Ray W. Ogden (Eds.), Modern Mechanics and Mathematics, Chapman & Hall / CRC, Boca Raton, U.S.A., 2005, p. 189.