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- Knudsen_diffusion abstract "Knudsen diffusion is a means of diffusion that occurs when the scale length of a system is comparable to or smaller than the mean free path of the particles involved. For example in a long pore with a narrow diameter (2–50 nm) because molecules frequently collide with the pore wall.Consider the diffusion of gas molecules through very small capillary pores. If the pore diameter is smaller than the mean free path of the diffusing gas molecules and the density of the gas is low, the gas molecules collide with the pore walls more frequently than with each other. This process is known as Knudsen flow or Knudsen diffusion.The Knudsen number is a good measure of the relative importance of Knudsen diffusion. A Knudsen number much greater than one indicates Knudsen diffusion is important. In practice, Knudsen diffusion applies only to gases because the mean free path for molecules in the liquid state is very small, typically near the diameter of the molecule itself.The diffusivity for Knudsen diffusion is obtained from the self-diffusion coefficient derived from the kinetic theory of gases.or for diffusivity of species j in a mixtureFor Knudsen diffusion, path length λ is replaced with pore diameter , as species A is now more likely to collide with the pore wall as opposed with another molecule. The Knudsen diffusivity for diffusing species A, is thus,Where is the gas constant (8.3144 J/mol K in SI units), molecular weight is expressed in units of kg/mol and temperature T has units of K. Knudsen diffusivity thus depends on the pore diameter, species molecular weight and temperature.Generally, the Knudsen process is significant only at low pressure and small pore diameter. However there may be instances where both Knudsen diffusion and molecular diffusion are important. The effective diffusivity of species A in a binary mixture of A and B, is determined by,Where, For cases where α=0, (=-), or where is close to zero, the equation reduces to,".
- Knudsen_diffusion thumbnail Knudsen_diffusion.svg?width=300.
- Knudsen_diffusion wikiPageID "7032835".
- Knudsen_diffusion wikiPageRevisionID "603786890".
- Knudsen_diffusion hasPhotoCollection Knudsen_diffusion.
- Knudsen_diffusion subject Category:Diffusion.
- Knudsen_diffusion comment "Knudsen diffusion is a means of diffusion that occurs when the scale length of a system is comparable to or smaller than the mean free path of the particles involved. For example in a long pore with a narrow diameter (2–50 nm) because molecules frequently collide with the pore wall.Consider the diffusion of gas molecules through very small capillary pores.".
- Knudsen_diffusion label "Diffusione di Knudsen".
- Knudsen_diffusion label "Difusão de Knudsen".
- Knudsen_diffusion label "Dyfuzja Knudsena".
- Knudsen_diffusion label "Knudsen diffusion".
- Knudsen_diffusion label "Knudsen-Diffusion".
- Knudsen_diffusion label "Кнудсеновская диффузия".
- Knudsen_diffusion sameAs Knudsen-Diffusion.
- Knudsen_diffusion sameAs Diffusione_di_Knudsen.
- Knudsen_diffusion sameAs Dyfuzja_Knudsena.
- Knudsen_diffusion sameAs Difusão_de_Knudsen.
- Knudsen_diffusion sameAs m.0h16qr.
- Knudsen_diffusion sameAs Q628034.
- Knudsen_diffusion sameAs Q628034.
- Knudsen_diffusion wasDerivedFrom Knudsen_diffusion?oldid=603786890.
- Knudsen_diffusion depiction Knudsen_diffusion.svg.
- Knudsen_diffusion isPrimaryTopicOf Knudsen_diffusion.
