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All Journal Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika
Suma Inna
Universitas Islam Negeri Syarif Hidayatullah Jakarta
Decision Sciences, Operations Research & Management Education Mathematics

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SOLUSI MODEL LINEAR NAVIER-STOKES-KORTEWEG DI R_+^3 DENGAN SYARAT BATAS SLIP Jihandika Prayugo; Suma Inna; Mahmudi Mahmudi; Nia Damiati
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 1 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v5i1.554

Abstract

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.
Co-Authors Damiati, Nia Jihandika Prayugo Mahmudi Mahmudi