Nonequilibrium Gas Dynamics and Molecular Simulation 1st. Edition by Iain D. Boyd, Thomas E. Schwartzentruber | 9781107073449 | 1107073448 | Holooly

Nonequilibrium Gas Dynamics and Molecular Simulation

17 SOLVED PROBLEMS

Question: 6.3

Normal Shock Wave in a Mixture of Helium and Xenon In this example, a normal shockwave is simulated for a gas mixture composed of two species with very different molecular weights, helium and xenon, for ...

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which diffusive transport must be considered. The ...

Question: 4.2

An arcjet is a small rocket used for in-orbit spacecraft propulsion. Consider a hydrogen arcjet with a nozzle length of 1 cm and the following spatially averaged values: P= 15,000 N/m², T = 5000 K, u=5 km/s. For molecular hydrogen (H2): μ = 1, θvib = 6345 K. ...

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We can evaluate a characteristic flow time based o...

Question: 4.1

We evaluate α∗ for the N2 ⇔ N + N dissociation–recombination system. ...

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m_{a}= {14}/{6.023} \times 10^{26} kg =2.3...

Question: 3.5

Evaluate W ⁄ Wmax for N2 in a 1 cm³ volume at standard temperature and pressure. ...

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N=\sum\limits_{j}{N_{j} } = 2\times 10^{19}...

Question: 3.4

Consider a group with Cj = 20, Nj = 10. Using Eqs. 3.6 and 3.8 we find that WBE = 2 × 10^7 and WFD = 2 × 10^5. Thus, at least for this specific example, there are significant differences in the results obtained for the degree of randomness for bosons and fermions. ...

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Equations 3.6 and 3.8 provide the number of combin...

Question: 3.3

Consider a macrostate defined as follows: j = 1 j = 2 j = 3 ∈1 ∈2 ∈3 C1 = 5 C2 = 6 C3 = 3 N1 = 2 N2 = 5 N3 = 1 The system parameters are evaluated as: E = 2∈1 + 5∈2 + ∈3 N = 8. ...

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We can construct many microstates consistent with ...

Question: 3.2

Consider N2 at a temperature of 293 K in a cube with a side length of 1 cm. Let us find the number of translational energy states that lie below the average translational energy under these conditions. ...

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Thus, we use

\epsilon ^{\divideontimes } = ...

Question: 3.1

Consider a system with N = 4, and E = 12, in which each particle has rigid-rotor-like energy states: ∈J = J(J + 1) : J = 0, 1, 2, 3 (3.2) ...

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Table 3.1 shows some of the possible distributions...

Question: 1.1

We use our expressions above to calculate the profiles of surface pressure and heat transfer rate for the front surface of the S putnik spacecraft (a sphere with a diameter of 58.5 cm) orbiting Earth at an altitude of 220 km. ...

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Incident flow conditions:

P_{i}= 5.01\times ...

Question: 3.6

Atomic oxygen: from Table 2.3: ...

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Q^{O}_{el} = \underset{\underset{^{3}P_{2...

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