Variational principle for one-dimensional inviscid flow-Reference-Cited by-同舟云学术

Variational principle for one-dimensional inviscid flow

Published:2022 Issue:3 Part B Volume:26 Page:2465-2469
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Liu Xian-Yong¹,Liu Yan-Ping²,Wu Zeng-Wen¹

Affiliation:

1. Robotics Institute, Ningbo University of Technology, Ningbo, Zhejiang Province, China

2. School of Petrochemical Engineering and Environment, Zhejiang Ocean University, Zhoushan, Zhejiang Province, China

Abstract

A family of variational principles is obtained for the 1-D inviscid flow by Ji-Huan He?s semi-inverse method. The invalidy of the Lagrange multiplier method, e. g., the Lagrange crisis, is also discussed to eliminate constraints of a constrained variational principle. Two approaches to the elimination of the crisis are elucidated.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference21 articles.

1. He, J. H., A Fractal Variational Theory for One-Dimensional Compressible Flow in a Microgravity Space, Fractals, 28 (2020), 2, 2050024

2. Wang, K. L., Yao, S. W., Fractal Variational Theory for Chaplygin-He Gas in a Microgravity Condition, J. Appl. Comput. Mech., 7 (2021), 1, pp. 182-188

3. Chaplygin, S., On Gas Jets, Sci. Mem. Moscow Univ. Math. Phys., 1904, Vol. 21, pp. 1-121

4. Lukovskii, I. A., Timokha, A. N., Bateman Variational Principle for a Class of Problems of Dynamics and Stability of Surface Waves, Ukrainian Mathematical Journal, 43 (1991), 3, pp. 1106-1110

5. He, J. H., Hybrid Problems of Determining Unknown Shape of Bladings in Compressible S2-Flow in Mixed-Flow Turbomachinery via Variational Technique, Aircraft Engineering and Aerospace Technology, 71 (1999), 2, pp. 154-159

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