Invariant solutions of the equations of viscous fluid non-isothermal stationary flow in pipes

BAXTİZİN R., Mukhamedshin R.

Prikladnaya Matematika i Mekhanika, vol.55, no.3, pp.520-521, 1991 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 3
  • Publication Date: 1991
  • Journal Name: Prikladnaya Matematika i Mekhanika
  • Journal Indexes: Scopus
  • Page Numbers: pp.520-521
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

Viscous fluid non-isothermal stationary flow in pipes is studied. The group properties of the system of equations, describing fluid flow in pipes at large Peclet numbers are investigated. Consideration is conducted on the basis of the group analysis of Ovsyannikova. Fluid viscosity depends on temperature. It is shown that in case of exponential and power dependences the main conversion group expands. The invariant solutions, having the physical meaning, are determined.