Jurnal Lebesgue (Apr 2024)

SOLUSI MODEL LINEAR NAVIER-STOKES-KORTEWEG DI R_+^3 DENGAN SYARAT BATAS SLIP

  • Jihandika Prayugo,
  • Suma Inna,
  • Mahmudi Mahmudi,
  • Nia Damiati

DOI
https://doi.org/10.46306/lb.v5i1.554
Journal volume & issue
Vol. 5, no. 1
pp. 262 – 277

Abstract

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This article discusses the solution of the linear Navier-Stokes-Korteweg model in considering slip boundary conditions. This model is often used to describe the two-phase flow of fluids, where there is a phase change at the interface known as the capillary effect. To overcome the impact of the capillary effect, Korteweg developed the Navier-Stokes model by incorporating the element of capillary into the Navier-Stokes equations. The results of this article show that the Korteweg-type Navier-Stokes model has a solution for the coefficient case with . The emergence of this coefficient case is related to the condition of the roots of the characteristic equation of the model described in this article.

Keywords