NDLI: Potentials of divergent equations and new additional conservation laws for two-dimensional steady gas flows

Content Provider	Springer Nature Link
Author	Rylov, A. I.
Copyright Year	2012
Abstract	An algorithm is constructed that compares a new divergent equation (the additional conservation law) to each of two divergent equations. Both the starting divergent equations themselves and their potentials participate in the additional conservation law, and both the first and second participate symmetrically. A characteristic feature of such additional conservation laws is that not only are the functions of gas-dynamic parameters and their derivatives taken along streamlines but so are the integrals, i.e., the functionals, and their derivatives participate in them. All these facts reveal the physical sense of the topical conservation laws constructed. A comparison with the asymmetric conservation laws constructed previously by the author (Doklady Physics, 2002) is performed. As an example, the relation that connects four additional laws comparable by dimensionality is constructed as an example. This is the conservation law of the momentum and its three analogs. Two laws are asymmetric (from Doklady Physics, 2002), while two others are constructed in this study.
Starting Page	483
Ending Page	486
Page Count	4
File Format	PDF
ISSN	10283358
Journal	Doklady Physics
Volume Number	57
Issue Number	12
e-ISSN	15626903
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2013-01-06
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical, Mathematical and Computational Physics Mechanics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Computational Mechanics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Shallow-water conservation laws

Chaplygin equations and an infinite set of uniformly divergent gas-dynamics equations

On gas flows with a “one-dimensional” velocity potential

Pulsating gas flows in an annular nozzle

Two-dimensional stationary vortex flows of an ideal imperfect gas in natural coordinates

Two-phase flows in horizontal flat microchannels

Stability of steady-flows of two ideal fluids with different constant densities

Equivalence of measures and stochastic equations for turbulent flows

Conservation laws in vibration theory

Potentials of divergent equations and new additional conservation laws for two-dimensional steady gas flows

Similar Documents

Shallow-water conservation laws

Chaplygin equations and an infinite set of uniformly divergent gas-dynamics equations

On gas flows with a “one-dimensional” velocity potential

Pulsating gas flows in an annular nozzle

Two-dimensional stationary vortex flows of an ideal imperfect gas in natural coordinates

Two-phase flows in horizontal flat microchannels

Stability of steady-flows of two ideal fluids with different constant densities

Equivalence of measures and stochastic equations for turbulent flows

Conservation laws in vibration theory

Potentials of divergent equations and new additional conservation laws for two-dimensional steady gas flows