Mathematical Modelling and Analysis (Dec 1999)

Conjugation problem about jointly separate flow of viscoelastic and viscous fluids in the plane duct

  • V. I. Korzyuk,
  • S. V. Lemeshevsky,
  • P. P. Matus,
  • V. N. Shalima

DOI
https://doi.org/10.3846/13926292.1999.9637116
Journal volume & issue
Vol. 4, no. 1

Abstract

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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. Sujungimo uždavinys, aprašantis bendrą klampaus ir klampiaielastingo skysčių tekėjimą plokščiuose kanaluose Santrauka Nagrinejamos sujungimo salygos, kai liečiasi klampus ir klampiaielastingas skysčiai. Ištirtas diferencialinio uždavinio išsprendžiamumas. Uždavinys aproksimuojamas neišreikštine baigtiniu skirtumu schema. Suderinamumo salygos aproksimuojamos antrosios tikslumo eiles diskrečiuoju analogu. Energetiniu nelygybiu metodu irodomas baigtiniu skirtumu schemos sprendinio konvergavimas ir ivertinamas konvergavimo greitis. First Published Online: 14 Oct 2010

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