Abstract
Two classical gas dynamics axisymmetric problems are considered: the design of a supersonic nozzle with a corner point in the minimum cross section and a uniform exit characteristic and the design of a subsonic nozzle part with a plane sonic line in the minimum cross section. Numerical solving was realized by a direct method by means of minimization of a suitable functional with a minimum corresponding to the optimum nozzle profile. At representation of a nozzle profile were used polynomials, splines and logarithmic functions. In some cases minimization with monotonicity constraits on a nozzle profile is the unique reason of success.
| Original language | English |
|---|---|
| Title of host publication | New Developments in Mathematics Research |
| Publisher | Nova Science Publishers, Inc. |
| Pages | 43-83 |
| Number of pages | 41 |
| ISBN (Print) | 9781613242520 |
| Publication status | Published - 2011 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Monotone nozzle shape by direct method. / Volkov, Yuri S.; Galkin, Vladislav M.
New Developments in Mathematics Research. Nova Science Publishers, Inc., 2011. p. 43-83.Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Monotone nozzle shape by direct method
AU - Volkov, Yuri S.
AU - Galkin, Vladislav M.
PY - 2011
Y1 - 2011
N2 - Two classical gas dynamics axisymmetric problems are considered: the design of a supersonic nozzle with a corner point in the minimum cross section and a uniform exit characteristic and the design of a subsonic nozzle part with a plane sonic line in the minimum cross section. Numerical solving was realized by a direct method by means of minimization of a suitable functional with a minimum corresponding to the optimum nozzle profile. At representation of a nozzle profile were used polynomials, splines and logarithmic functions. In some cases minimization with monotonicity constraits on a nozzle profile is the unique reason of success.
AB - Two classical gas dynamics axisymmetric problems are considered: the design of a supersonic nozzle with a corner point in the minimum cross section and a uniform exit characteristic and the design of a subsonic nozzle part with a plane sonic line in the minimum cross section. Numerical solving was realized by a direct method by means of minimization of a suitable functional with a minimum corresponding to the optimum nozzle profile. At representation of a nozzle profile were used polynomials, splines and logarithmic functions. In some cases minimization with monotonicity constraits on a nozzle profile is the unique reason of success.
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UR - http://www.scopus.com/inward/citedby.url?scp=84895329096&partnerID=8YFLogxK
M3 - Chapter
AN - SCOPUS:84895329096
SN - 9781613242520
SP - 43
EP - 83
BT - New Developments in Mathematics Research
PB - Nova Science Publishers, Inc.
ER -