New relationship between viscosity and the diffusion coefficients based on Lamm's theory of diffusion

Dullien, F. A. L.

doi:10.1039/tf9635900856

Cited by 50 publications

(12 citation statements)

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“…Cohen and Turnbull,[15] and Kassner et al [16] suggest that D = D 5 * T 1/2 {exp (ÀQ 5 /RT)}. Walls and Upthegrove, [9] Swalin and Leak, [17] Dullien [7] and [8] suggest D = D 7 * T 2 {exp (ÀQ 7 /RT)}. With a judicious choice of the constants D i and Q i , and over the limited temperature range of most liquid diffusion experiments, all of the preceding equations agree reasonably well with experimental results.…”

Section: Interdiffusion Of Cu In Liquid Almentioning

confidence: 97%

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] From these models, the temperature dependence of the diffusion coefficient has been given variously as T À5/2 , T 1/2 , T, T 3/2 , T 2 , exp(ÀQ 1 /RT), T 1/2 exp(ÀQ 2 /RT), T exp(ÀQ 3 /RT), and T 2 exp(ÀQ 4 /RT). Several of these theories [1,2,6,13,14,[16][17][18] have been extended to include solute diffusion as well.…”

Section: Introductionmentioning

confidence: 99%

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Interdiffusion of Copper and Iron in Liquid Aluminum

Lee

Cahoon

2011

J. Phase Equilib. Diffus.

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Liquid diffusion experiments determining the interdiffusion coefficients for Fe and Cu in liquid Al have shown that Fe diffuses 50-60% more slowly than does Cu. Results from the literature indicate that Ni also diffuses more slowly in liquid Al than does Cu but about 25% more quickly than Fe. It is also shown that the concentration dependence for the diffusion of Cu in liquid Al over the concentration range 0-45 at.% is small, only about 35% greater than the tracer diffusion coefficient. A novel and simplified technique for preparation of diffusion capillaries involving a solid wire that acts as both a plug for one end of the capillary and a source of solute is described.

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Section: Interdiffusion Of Cu In Liquid Almentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Interdiffusion of Copper and Iron in Liquid Aluminum

Lee

Cahoon

2011

J. Phase Equilib. Diffus.

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“…4 Different equations have been proposed to compute a transport coefficient in terms of another. 13 Dullien relation 14,15 is an example, which gives the shear viscosity in terms of the diffusion coefficient. In the present study, the outcomes of MD simulations for the diffusion coefficient are used within the Dullien relation to compute the shear viscosity.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic and transport properties of the Weeks–Chandler–Andersen fluid: Theory and computer simulation

Nasrabad

2008

The Journal of Chemical Physics

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The equilibrium molecular dynamics (MD) simulation method is utilized to compute the equation of state, pair correlation function, and transport coefficients of the Weeks-Chandler-Andersen model fluid over a wide range of densities and temperatures. The calculated pair correlation function is used within the virial minimization method to obtain the effective diameter and the results are applied within the generic van der Waals (GvdW) theory to compute the GvdW parameters. The GvdW parameter B, which corresponds to the mean excluded volume of particles, is used to calculate the mean free volume. The computed effective diameter and Gvdw parameters are then fitted to functions of the density and temperature. The modified Cohen-Turnbull theory is employed to calculate the diffusion coefficient using the computed effective diameter and mean free volume. A detailed analysis is presented for the results of the theory and MD simulations for the diffusion coefficient. The system-size dependence of the diffusion coefficient through the MD simulation is studied. The Dullien formula is used to obtain the shear viscosity and the results are compared with those from MD simulations.

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“…Using Lamm's theory, Dullien [30] derived the following equation for the average momentum transfer distance (d) in a liquid:…”

Section: Calculations Based On Fluid Theorymentioning

confidence: 99%

Comprehensive Evaluation of Aluminum Diffusivity in Liquid Zinc

Yang

Wang

et al. 2010

Metall Mater Trans A

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Diffusion coefficients of Al in molten Zn in the temperature range relevant to the industrial applications of the Zn-Al alloy were experimentally measured using the long capillary technique. The diffusion coefficients were also predicted using four methods, including a predictive equation derived recently by the present authors, the Enskog expression, the ''hole'' theory, and the fluid theory. In addition, molecular dynamics simulation was carried out to calculate the Al diffusivity. The experimentally measured Al diffusivity agrees well with the predicted values of the new derived equation and the outcomes of the molecular dynamics computation. An evaluation of the predictions of the four diffusion models favors the density fluctuation model.

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New relationship between viscosity and the diffusion coefficients based on Lamm's theory of diffusion

Cited by 50 publications

References 5 publications

Interdiffusion of Copper and Iron in Liquid Aluminum

Interdiffusion of Copper and Iron in Liquid Aluminum

Thermodynamic and transport properties of the Weeks–Chandler–Andersen fluid: Theory and computer simulation

Comprehensive Evaluation of Aluminum Diffusivity in Liquid Zinc

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