大学物理(热学)
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大学物理(热学). Mean Free Path Diffusion, Thermal conductivity, and Viscosity. 2006-10-12. n i  the number of molecules of. in. v y v y + d v y. Equilibrium distribution. d n is the number of molecules. near v. Meaning of d n / N. among N molecules , how many are near v.

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6736808

大学物理(热学)

  • Mean Free Path

  • Diffusion, Thermal conductivity, and Viscosity

2006-10-12


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ni the number of moleculesof

in

vy vy + dvy

Equilibrium distribution

dn isthe number of molecules

nearv


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Meaning of dn/N

amongN molecules, how many are near v

probability that one molecule is near v

proportional to dvx ...


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Isotropic assumption

The solution is

The probability should be normalized


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a

each normalized

a

12


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Known

while


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For unit volume

Maxwell velocity distribution


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Maxwell speed distribution

Most probable speed

For one molecule, what speed is most possible?

Among N molecules, what is the speed most molecules have in unit interval?




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Conduction

Transport phenomena

Heat transfer :

conduction convection thermal radiation

diffusion

viscosity

thermal conductivity

Fourier’s law


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Diffusion

Fick’s law

Viscosity

6





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Hydrogen under STP

r = 1.12×10−10m



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