Monotone nozzle shape by direct method

Yuri S. Volkov, Vladislav M. Galkin

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationNew Developments in Mathematics Research
PublisherNova Science Publishers, Inc.
Pages43-83
Number of pages41
ISBN (Print)9781613242520
Publication statusPublished - 2011

Fingerprint

Nozzle
Direct Method
Monotone
Cross section
Polynomial Splines
Gas Dynamics
Monotonicity
Logarithmic
Line
Profile
Design

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Volkov, Y. S., & Galkin, V. M. (2011). Monotone nozzle shape by direct method. In New Developments in Mathematics Research (pp. 43-83). Nova Science Publishers, Inc..

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 proceedingChapter

Volkov, YS & Galkin, VM 2011, Monotone nozzle shape by direct method. in New Developments in Mathematics Research. Nova Science Publishers, Inc., pp. 43-83.
Volkov YS, Galkin VM. Monotone nozzle shape by direct method. In New Developments in Mathematics Research. Nova Science Publishers, Inc. 2011. p. 43-83
Volkov, Yuri S. ; Galkin, Vladislav M. / Monotone nozzle shape by direct method. New Developments in Mathematics Research. Nova Science Publishers, Inc., 2011. pp. 43-83
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