Similarity and Dimensional Methods in Mechanics 1959
DOI: 10.1016/b978-1-4832-0088-0.50008-6
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General Dimensional Theory

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Cited by 212 publications
(282 citation statements)
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“…To estimate the fraction of the mass that is retained, we adopt the approach of Kashi & Soker (2011), who assumed that the released gravitational energy is instantaneously ejected at the radius r ej . Under the additional assumption of spherical symmetry, the propagation of the resulting blast wave can be followed by employing the self-similar solution of Sedov (1959). While the assumption of spherical symmetry is certainly an approximation, the calculation by Kashi & Soker (2011) indeed confirmed that the timescale for the blast wave to reach the surface of the common envelope is considerably longer than the time for the inspiral on the scale r ej , implying that the assumption of instantaneous injection is reasonable.…”
Section: Ejection Of Mass and Angular Momentummentioning
confidence: 61%
“…To estimate the fraction of the mass that is retained, we adopt the approach of Kashi & Soker (2011), who assumed that the released gravitational energy is instantaneously ejected at the radius r ej . Under the additional assumption of spherical symmetry, the propagation of the resulting blast wave can be followed by employing the self-similar solution of Sedov (1959). While the assumption of spherical symmetry is certainly an approximation, the calculation by Kashi & Soker (2011) indeed confirmed that the timescale for the blast wave to reach the surface of the common envelope is considerably longer than the time for the inspiral on the scale r ej , implying that the assumption of instantaneous injection is reasonable.…”
Section: Ejection Of Mass and Angular Momentummentioning
confidence: 61%
“…This will increase the cooling timescale of these shocks to ∼13,000 years. Assuming that the outer blast wave is moving at ∼400 km s −1 , and given that the radius of N49 is ∼7 pc, the dynamical age given by the Sedov-Taylor theory (Sedov 1959) is ∼8500 years. This value can be compared with the Sedov age of 4800 years derived from deep Chandra observations by Park et al (2012).…”
Section: Emission Line Mapsmentioning
confidence: 99%
“…The first efforts to model the evolution of CTB 109 were made by Hughes et al (1981) who used the Sedov-Taylor solution (Sedov 1959;Taylor 1946Taylor , 1950 to estimate the age of the remnant. For a homogeneous spherically symmetric medium they obtained an age of 17 000 yr from the Einstein data.…”
Section: Analytic Modelsmentioning
confidence: 99%