LAGRANGIAN FORMULATION OF NAVIER-STOKES EQUATIONS OF MOTIONS FOR THE SURFACE WAVES IN TWO-LAYERED FLUIDS

Mst. Shahana Parvin1*, Mst. Shamima Sultana2

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LAGRANGIAN FORMULATION OF NAVIER-STOKES EQUATIONS OF MOTIONS FOR THE SURFACE WAVES IN TWO-LAYERED FLUIDS

Mst. Shahana Parvin1*, Mst. Shamima Sultana2

1.Mst. Shahana Parvin

Professor

Department of Applied Mathematics

University of Rajshahi

Rajshahi-6205, Bangladesh

2.Mst. Shamima Sultana

Professor

Department of Applied Mathematics

University of Rajshahi

Rajshahi-6205, Bangladesh

Email: shahana_amath79@ru.ac.bd

A R T I C L E  I N F O

Article Type: Research

Received: 08, May. 2024.

Accepted: 19, May. 2024.

Published: 29, May. 2024.

 

 

 A B S T R A C T

Depending on the specific situations, there are various types of equations can be employed to describe fluid flows. There are two kinds for describing the physical governing equations, the Navier- Stokes equations and Lagrangian equation. The Navier-Stokes description is a spatial description. On the other hand, Lagrangian description is a material description. The main focus is to highlight some important points for solving Navier-Stokes equations and its applications on different branches of fluid mechanics. Lagrangian formulations of Navier-Stokes equations for two layers of different densities subject to gravity force for irrotational, incompressible fluids are formulated.
KEYWORDS:

Navier Stokes equations, Lagrangian formulation.

 

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