(Color online) Averaged dimensionless heat flux (a) and pressure between the cylinders as functions of time, . The rarefaction parameter δ varies from 0.01 to 100.
(Color online) Averaged dimensionless velocity between the cylinders as function of time, . The rarefaction parameter δ varies (a) from 0.01 to 5 and (b) from 10 to 100.
(Color online) Time to reach the steady state conditions ts (in μs) for different gases: xenon (dashed line), argon (solid line), nitrogen (dashed-dotted line), helium (dashed-dotted-dotted line) is plotted as a function of the pressure (in millibars).
(Color online) Time evolution of the dimensionless heat flux on the internal (a) and external (b) cylinders. The rarefaction parameter δ varies from 0.01 to 100, .
(a) Averaged dimensionless heat flux as a function of time for δ = 10, 50, 100 and ; the solution of Eq. (10) with the jump boundary conditions (9) (solid line); the solution of the S-model kinetic equation (dotted line). (b) The steady state solution of the kinetic equation is plotted as the solid horizontal line; the solution of Eq. (10) is scaled to the steady state value obtained from the S-model kinetic equation.
Steady state dimensionless pressure distribution between two cylinders, , δ = 5 (dashed-dotted line) and δ = 50 (solid line).
Dimensionless time to reach the steady state value ts for the averaged heat flux between the cylinders as a function of the gas rarefaction.
Dimensionless time to reach the criterion (26) and the corresponding number of the time steps.
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