Open AccessCONJUGATION PROBLEM ABOUT JOINTLY SEPARATE FLOW OF VISCOELASTIC AND VISCOUS FLUIDS IN THE PLANE DUCT
Author(s) -
V. I. Korzyuk,
Sergey Lemeshevsky,
П. П. Матус,
V. N. Shalima
Publication year - 1999
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.1999.9637116
Subject(s) - viscoelasticity , mathematics , duct (anatomy) , plane (geometry) , convergence (economics) , flow (mathematics) , mathematical analysis , geometry , physics , thermodynamics , medicine , pathology , economics , economic growth
Conjugation problem about jointly separate flow of viscoelastic and viscous fluids in the plane duct is considered. The results concerning of solvability of this problem are presented. The implicit difference scheme for the conjugation problem is constructed. The consistency conditions are approximated with the second order of approximation with respect to spatial variable. The convergence of the suggested difference scheme is investigated by method of energy inequalities.