Monotone nozzle shape by direct method

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

ASJC Scopus subject areas

Mathematics(all)

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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..

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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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