Measured viscosities of nitrogen gas at one atmosphere are given below

PHYSICS · Multi-part · Fermi University Physics · Thermal, Statistical & Complex Systems · Kinetic theory and transport in gases · Kinetic theory and transport in gases

Fluid Dynamics, Ch The stress tensor completed: constitutive law and fluid properties

Problem

Measured viscosities of nitrogen gas at one atmosphere are given below. Data:

\mu=1.66

2.09

and

2.46

(in units of

10^{-5}\,\mathrm{Pa\,s}

) at

T=273

373

and

473\,\mathrm{K}

respectively. Sutherland's law is

\mu(T) = \mu(T_0)\left(\frac{T}{T_0}\right)^{3/2}\frac{T_0+S_{\rm su}}{T+S_{\rm su}}.

((a)) Use the values at

273\,\mathrm{K}

and

373\,\mathrm{K}

to find the Sutherland constant

S_{\rm su}

for nitrogen. ((b)) Use this

S_{\rm su}

to predict

\mu

473\,\mathrm{K}

and compare with the tabulated value.

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