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The Kramers’ equation of Brownian motion is applied to investigate the motion of a colloidal particle in a medium subjected to a temperature gradient. The equation is generalized in two ways. First, a chemical force is included in order to account for the non-ideality of the colloidal...
Persistent link: https://www.econbiz.de/10010873727
The paper aims at a molecular understanding of thermodiffusion (the Ludwig–Soret effect) in a liquid binary mixture. To … thermodiffusion. The force driving thermodiffusion arises from Onsager’s reciprocity theorem in non-equilibrium thermodynamics: it is … explicit kinetic expression is given of the force driving thermodiffusion; it involves the interaction cross-section of the two …
Persistent link: https://www.econbiz.de/10010591077
shed light on thermodiffusion (the Ludwig–Soret effect), which often combines inhomogeneities of both kinds. Finally, a … limitation of the Lorentz picture of transport in accounting for thermodiffusion is outlined. …
Persistent link: https://www.econbiz.de/10010872718
We experimentally investigate the scaling probability distributions of various intrachain distances of granular chains … in two-dimensional static packing, the chain length of which ranges from N=64 to 2048. With the scaling method proposed … in the polymer theory, the scaled data from granular chains tend to cluster together so as to form a single experimental …
Persistent link: https://www.econbiz.de/10010872439
/solvent molecular size ratio. The results of the theory are shown to accord well with experiments on polymer solutions in regard to both …
Persistent link: https://www.econbiz.de/10010590622
presence of temperature gradients. It is found that temperature gradients not only introduce a thermophoresis force, but also … compared with each other and with the thermophoresis force. …
Persistent link: https://www.econbiz.de/10010874496
diffusion coefficients, is extended onto thermodiffusion coefficients and heat conductivities. The derivation of the expressions …
Persistent link: https://www.econbiz.de/10010588957
Thermodiffusion of particles suspended in a pure liquid is a thorny problem which has not yet received a solution … relative to the carrier fluid. Focussing on thermodiffusion, we show that the osmotic pressure is irrelevant and that … thermodiffusion cannot have but two distinct origins : the temperature dependence of the stress associated with the distorted particle …
Persistent link: https://www.econbiz.de/10010591840
The Onsager–Casimir reciprocal relations obtained for gaseous systems on the basis of the linearized Boltzmann equation in a general form [F. Sharipov, Onsager–Casimir reciprocal relations based on the Boltzmann equation and gas–surface interaction law. Single gas., Phys. Rev. E 73 (2006)...
Persistent link: https://www.econbiz.de/10010874665
A purely continuum theory for the thermophoretic velocity of aerosol and hydrosol particles in the zero Knudsen number, near continuum limit, Kn=0+, valid for both gases and liquids, is proposed. This theoretical result is based upon a fundamentally modified version of the traditional equations...
Persistent link: https://www.econbiz.de/10010871980