Units of Brinkman's Equation Parameters

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In summary, the parameters used in Brinkman's equation for tunneling conductance are 'k', which has units of viscosity/area, and 'mu', which has units of dynamic viscosity. The equations involve the parameters 'A0', 'phi bar', and 'd', which have units of length.
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dala
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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?


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
 
  • #3
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
 

What are the units for the viscosity parameter in Brinkman's equation?

The units for the viscosity parameter in Brinkman's equation are typically in Pa*s/m^2. This is a combination of units for dynamic viscosity (Pa*s) and length (m).

What are the units for the permeability parameter in Brinkman's equation?

The units for the permeability parameter in Brinkman's equation are typically in m^2. This is a measure of the porous medium's ability to allow fluid flow and is a purely length-based unit.

How do the units for Brinkman's equation parameters change in different systems of measurement?

In different systems of measurement, the units for Brinkman's equation parameters may change. For example, in the cgs system, the units for viscosity would be dyne*s/cm^2, while in the British imperial system, they would be lb*s/ft^2. It is important to pay attention to the units used when applying Brinkman's equation in different systems of measurement.

What is the significance of the units in Brinkman's equation parameters?

The units in Brinkman's equation parameters are crucial in ensuring that the equation is dimensionally consistent. This means that the units on both sides of the equation must be the same for it to be valid. It also allows for easy conversion between different systems of measurement.

Can the units in Brinkman's equation parameters be simplified or combined?

Yes, the units in Brinkman's equation parameters can be simplified or combined using basic unit conversion rules. For example, the units for permeability can be written as m^2 = 10,000 cm^2 or 0.0001 km^2. However, it is important to maintain the same units on both sides of the equation for it to be valid.

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