Geodesic
Flow past a profile of a given shape in the Chaplygin gas
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 1, pp. 122-133

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In the paper, the problem of a subsonic continuous flow past a profile of a given shape is investigated. The problem is reduced to a nonlinear Villa-type integral equation, which after discretization is solved by Newton's method. It is shown that the velocity distributions computed using the Chaplygin gas model, the Karman–Tsien formula and the CFD Fluent package are very close to each other in the subsonic range of Mach numbers.
Keywords: subsonic flows, Chaplygin equations, Chaplygin gas, discretization, Newton's method.
Mots-clés : Villa's equation 
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     author = {E. M. Kotlyar and D. V. Maklakov},
     title = {Flow past a~profile of a~given shape in the {Chaplygin} gas},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {122--133},
     publisher = {mathdoc},
     volume = {154},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_1_a10/}
}
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E. M. Kotlyar; D. V. Maklakov. Flow past a profile of a given shape in the Chaplygin gas. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 1, pp. 122-133. http://geodesic.mathdoc.fr/item/UZKU_2012_154_1_a10/