Surface Tension-Assisted for Korteweg Fluid Motion in Whole-Space Case Sri Maryani (a*), Mulki Indana. Zulfa (c), Bambang Hendriya Guswanto (a), Triyani (a), Mukhtar Effendi (b), Supriyanto (a)
a) Department of Mathematics, Jenderal Soedirman University, Purwokerto, Indonesia
*sri.maryani[at]unsoed.ac.id
b) Department of Physics, Jenderal Soedirman University, Purwokerto, Indonesia
c) Department of Electrical Engineering, Faculty of Engineering, Jenderal Soedirman University, Purwokerto, Indonesia
Abstract
Diffuse and sharf-interface models are two separated categories of mathematical models that can be used to describe liquid-vapor fluxes. The interfacial layer where phase changes take place is represented differently in each of them. In sharp-interface models, an infinitesimally thin hypersurface is employed in place of the small, positive thickness that is present in diffuse-interface models. By taking the limit where the interfacial region^s thichness goes to zero, the diffuse-intreface model can be connected to the related sharp-interface model. In this paper we consider these phenomena which introduced firstly by Diederik Johannes Korteweg. This calculation was carried out over the model problem in whole space case with surface tension. The calculation showed the solution formula of Korteweg model for velocity and density with same technique with the previous works. In this brief report, we investigated the solution formula of the model problem in whole space with surface tension by using Fourier transform methods.
