2011
DOI: 10.1016/j.crme.2011.03.001
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Thermodiffusion phenomena

Abstract: The aim of this article is to present briefly a summary of the state of art in theoretical, experimental and numerical approaches in thermodiffusion. The concepts and equations giving the mass flux of constituents in binary, ternary and multicomponent mixtures are presented.

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Cited by 30 publications
(21 citation statements)
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“…In the empirical description of transport by thermal diffusion, because of the complexity of this process when the temperature gradient (▽ T ) creates an additional driving force to the concentration gradients (▽ C ), the Ludwig–Soret effect can be taken into account. In this case, the formulae can be used to express the flux linking to thermal diffusion: J=ρDCρF(C)DTT or J=D{C+C(Q/kT)(T/T)} i.e., two temperature gradient‐driven phenomena can be outlined: D ▽ C – flux of depositing and diffusing atoms caused by their non‐uniform spatially distributed concentration due to temperature spatial non‐uniformity; DC ( Q/kT )(▽ T/T ) – clear expression of the Ludwig–Soret effect in crystalline solids. J=sD[Cnormali/x+knormals(ln(TTnormalz))/x+knormalpP/x], where D ( C , T , t ) is the diffusivity, s ( T , t ) is the solubility, k s ( C , T , t ) is the “Soret effect” factor providing diffusion because of temperature gradient, and k p ( c , T , t ) is the pressure stress factor. The temperature gradient can be created at thermal treatment resulting in the independent driving force for the concentration gradient.…”
Section: Thermal Diffusion Boronizing Process For the Coatings Formationmentioning
confidence: 99%
“…In the empirical description of transport by thermal diffusion, because of the complexity of this process when the temperature gradient (▽ T ) creates an additional driving force to the concentration gradients (▽ C ), the Ludwig–Soret effect can be taken into account. In this case, the formulae can be used to express the flux linking to thermal diffusion: J=ρDCρF(C)DTT or J=D{C+C(Q/kT)(T/T)} i.e., two temperature gradient‐driven phenomena can be outlined: D ▽ C – flux of depositing and diffusing atoms caused by their non‐uniform spatially distributed concentration due to temperature spatial non‐uniformity; DC ( Q/kT )(▽ T/T ) – clear expression of the Ludwig–Soret effect in crystalline solids. J=sD[Cnormali/x+knormals(ln(TTnormalz))/x+knormalpP/x], where D ( C , T , t ) is the diffusivity, s ( T , t ) is the solubility, k s ( C , T , t ) is the “Soret effect” factor providing diffusion because of temperature gradient, and k p ( c , T , t ) is the pressure stress factor. The temperature gradient can be created at thermal treatment resulting in the independent driving force for the concentration gradient.…”
Section: Thermal Diffusion Boronizing Process For the Coatings Formationmentioning
confidence: 99%
“…By contrast, recently developed ionic thermoelectric sensors 26 can provide self-generated open-circuit voltages that are stable over time. A drawback is that ionic thermoelectric voltages do not correspond only to the temperature of a single target sensor spot, but they are induced by a temperature gradient between two different positions 27 . No signal is obtained upon uniform heating of the whole material or device.…”
Section: Introductionmentioning
confidence: 99%
“…The first term of this equation comes from Fick's law and the second term describes the Soret effect (thermodiffusion). VC is the mass fraction gradient induced by the temperature gradient, VT, [3]. Although, the assumption C(1 À C)z C 0 (1 À C 0 ), where C 0 is the initial value of the mass fraction, is widely used, it remains valid within the limits of very small variations of the mass fraction around C 0 .…”
Section: Introductionmentioning
confidence: 99%