March 29, 2018

Download PDF by J N Reddy: An Introduction to the Finite Element Method, 3rd Edition

By J N Reddy

ISBN-10: 0071244735

ISBN-13: 9780071244732

The booklet keeps its robust conceptual strategy, essentially reading the mathematical underpinnings of FEM, and delivering a common technique of engineering software components. identified for its targeted, rigorously chosen instance difficulties and wide number of homework difficulties, the writer has comprehensively coated a variety of engineering components making the ebook acceptable for all engineering majors, and underscores the big variety of use FEM has within the specialist global.

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Additional info for An Introduction to the Finite Element Method, 3rd Edition

Example text

However, for the non-catalytic wall and nonequilibrium boundary layer cases, the conclusion will be different, as will be detailed in the fourth chapter. 1 shows that the heat flux to the wall surface is mainly determined by the flow state at the outer edge of the SPBL, and this state needs to be calculated on the basis of the post-shock inviscid flow. Therefore, the existence of an inviscid external flow field is a precondition of the Fay–Riddell equation. 2) where p = ρ RT represents the pressure, and ps p∞ in hypersonic flows; a = √ γ RT represents the speed of sound, with R and γ being the gas constant and the equivalent specific heat ratio.

AIAA J 21(11):1598–1600 60. Macrossan MN (2006) Scaling parameters for hypersonic flow: Correlation of sphere drag data. In: Rarefied gas dynamics: 25th international symposium, pp 759–764 61. Krasnov NF (1970) Aerodynamics of Bodies of Revolution. American Elsevier Publishing Company Inc, New York 62. Lighthill MJ (1957) Dynamics of a dissociating gas. part 1: equilibrium flow. J Fluid Mech 2(01):1–32 63. Lighthill MJ (1960) Dynamics of a dissociating gas. part 2: quasi-equilibrium transfer theory.

3 Nonlinear Heat Transfer in Hypersonic Rarefied Flows 37 so cold. In this way, Eq. 27 establishes a bridge between the actual heat flux under rarefied gas effects and the prediction of the classical theory. As Wr > 0, it is shown the heat flux in this regime is a little higher than the prediction of Fay–Riddell equation, which is consistent with the results [22, 23] of VSL method and higher order boundary layer method, as well as the related experimental data [9]. However, it is worth noting that if CFD method is used to numerically solve NSF equations, the heat flux will generally be overestimated.

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An Introduction to the Finite Element Method, 3rd Edition by J N Reddy

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