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portada Quantifying Non-Equilibrium in Hypersonic Flows Using Entropy Generation
Type
Physical Book
Author
Publisher
Language
English
Pages
130
Format
Paperback
Dimensions
24.6x18.9x0.7 cm
Weight
0.24 kg.
ISBN13
9781288331420
Categories

Quantifying Non-Equilibrium in Hypersonic Flows Using Entropy Generation

Ryan W. Carr (Author) · Biblioscholar · Paperback

Quantifying Non-Equilibrium in Hypersonic Flows Using Entropy Generation - Carr, Ryan W.

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Synopsis "Quantifying Non-Equilibrium in Hypersonic Flows Using Entropy Generation"

The constitutive relations traditionally used for finding shear stress and heat flux in a fluid become invalid in non-equilibrium flow. Their derivation from kinetic theory only demonstrates they are valid only for small deviations from equilibrium. Because it is fundamentally linked to non-equilibrium, entropy generation is used to investigate the limits of the continuum constitutive relations. However, the continuum equations are inherently limited to near equilibrium conditions due to the constitutive relations; thus kinetic theory may be used as a basis for comparison. Direct Simulation Monte Carlo (DSMC), a particle method alternative to continuum methods, is based on kinetic theory and is used to develop a flow solution for benchmark comparison. Solutions were obtained for hypersonic flow over two axi-symmetric geometries using both a continuum solver and DSMC. Formulations for entropy generation are presented for each method, and the two solutions are compared. The continuum solutions fail to capture regions of non-equilibrium as evidenced by thicker shocks in the DSMC solution. To extend the useful range of the continuum constitutive relations, the Lennard-Jones model is offered as an alternative to Sutherland's Law for calculating viscosity and thermal conductivity. The two are compared, and parameters offering a good fit for these flows are suggested for the Lennard-Jones model.

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