- #1
MSM
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Greetings,
I hope this is the right place to ask.
I have been working with modeling of thermal conductance, G [W/K] of semi-conductor nanowires as a function of temperature.
To start, thermal conductivity of a nanowire is modeled using BTE (Boltzmann Transport Equation). Then the conductance is calculated based on the following relation:
[itex]G= k * A/L[/itex]
where L is the length of the nanowire and A is the cross sectional area of the nanowire (πr2) and k is the thermal conductivity
Now I have a plot of thermal conductance vs temperature for a specified diameter and length of a silicon nanowire.
Now the next step I want to model the thermal boundary conductance, Gb[W/m2 K], which is the reciprocal of thermal boundary resistance, Rb [m2K/W]. I used DMM (diffuse Mismatch Model) to model this as a function of temperature.
The main goal of doing this is to have a plot showing how boundary conductance is compared to sample conductance over a wide temperature range (5 K to 800 K) (where is it more critical at low temperatures). I am confused because we have different units so I can't simply make 2 y-axis and make the comparison and to my understanding multiplying by area does not seem right..whats the right approach?
I hope this is the right place to ask.
I have been working with modeling of thermal conductance, G [W/K] of semi-conductor nanowires as a function of temperature.
To start, thermal conductivity of a nanowire is modeled using BTE (Boltzmann Transport Equation). Then the conductance is calculated based on the following relation:
[itex]G= k * A/L[/itex]
where L is the length of the nanowire and A is the cross sectional area of the nanowire (πr2) and k is the thermal conductivity
Now I have a plot of thermal conductance vs temperature for a specified diameter and length of a silicon nanowire.
Now the next step I want to model the thermal boundary conductance, Gb[W/m2 K], which is the reciprocal of thermal boundary resistance, Rb [m2K/W]. I used DMM (diffuse Mismatch Model) to model this as a function of temperature.
The main goal of doing this is to have a plot showing how boundary conductance is compared to sample conductance over a wide temperature range (5 K to 800 K) (where is it more critical at low temperatures). I am confused because we have different units so I can't simply make 2 y-axis and make the comparison and to my understanding multiplying by area does not seem right..whats the right approach?