Units of Brinkman's Equation Parameters

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SUMMARY

The discussion focuses on the units of parameters in Brinkman's equation, specifically in the context of tunneling conductance. Andrew Resnick clarifies that in the equation for Poiseuille flow, the coefficient 'k' has units of viscosity per area, while 'mu' represents dynamic viscosity. The conversation shifts to the tunneling equation from the paper "Tunneling Conductance of Asymmetrical Barriers," where the parameters A, phi, and eV are discussed, but their specific units remain unclear. The need for precise unit definitions in these equations is emphasized.

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  • Understanding of fluid dynamics and Brinkman's equation
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  • Knowledge of dynamic viscosity and its units
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  • Research the units of parameters in tunneling equations
  • Study the derivation of Brinkman's equation and its applications
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Physicists, engineers, and researchers involved in fluid dynamics and quantum tunneling, particularly those analyzing Brinkman's equation and tunneling conductance in materials science.

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Does somebody know what are the units of the parameters used in brinkmans equation?
 
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dala wrote:
> Does somebody know what are the units of the parameters used in
> brinkmans equation?[/color]

If, by Brinkman's equation, you mean something like:

0 = -@P/@z + mu*Del^2(U) - k*U, meaning Poiseuille flow with an extra
friction term, then the parameter 'k' is a coefficient of friction,
with units of viscosity/area. 'mu' is the dynamic viscosity.--
Andrew Resnick, Ph.D.
Department of Physiology and Biophysics
Case Western Reserve University
 
thanks for the reply Andy.. But the tunneling equation that I'm concerned about is the tunneling one..

The equations are:
G(V)/G(0)=1-(Aodelta phi)/(16 phi bar^(3/2))*eV+(9Ao^2/128 phi bar)(eV)^2
and
Ao=4(2m)^1/2 * d/3h

The equations are the equations 7 and 8 of this paper
"Tunneling Conductance of Asymmetrical Barrieers", W.F. Brinkman, R.C. Dynes and J.M Rowell
i want to know the units of these parameters used in this equation
 

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