Analysis of the Equation of the Balance of Energy in the Field of Heating Limited to the Longitudinal Coordinate

The analysis of energy balance equation for viscous laminar flow of fluid or gas in the cylindrical channel in the area (zone) of warm up bounded along the longitudinal coordinate is made. It was found that at laminar flow of fluid or gas in a round pipe, in each warm up area bounded along the longi...

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 40; no. 11; pp. 1929 - 1932
Main Authors Gerasimov, A. V., Kirpichnikov, A. P., Sabirova, F. R.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.11.2019
Springer Nature B.V
Subjects
Algebra
Analysis
Geometry
Laminar flow
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
viscous laminar flow
surface of revolution
velocity of plasma
equation of the balance of energy
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Summary:The analysis of energy balance equation for viscous laminar flow of fluid or gas in the cylindrical channel in the area (zone) of warm up bounded along the longitudinal coordinate is made. It was found that at laminar flow of fluid or gas in a round pipe, in each warm up area bounded along the longitudinal coordinate there are the areas of direct and reverse flows separated by a plane that is a locus of points where temperature is maximal for each fixed value of radial coordinate r . The received results also explain occurrence of returnable currents in plasma of the high-frequency induction discharge of atmospheric pressure.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080219110106