Understanding Water Wave: A Journey Through Time - Essay Sample

Introduction

For many years, both scientists and laymen have struggled to understand how water wave behaves. Generally water wave comes in the form of continuous arrays which is getting its shape through ever-changing influences of the topography of the waterbed, wind velocity and availability of strong current. Although it water wave is influenced by such phenomenon, it can still be predicted mathematically by scientists and mathematicians. The initial research study on water wave was conducted in early 19th century to the time when the study of solitons that began in 1960 and the study of waves of large amplitude in the last twenty years. To date there are several scientists who have contributed in building literature on water waves, meaning that there are various areas of water waves which have been studied by various researchers. The research on tsunamis has been used as a very important study of water wave as it improved the understanding of the mechanism of water waves which has a greater adverse effect on either human beings or other living things. The other research study which also stands out include the interaction of wave current and another research relating to flow pattern beneath a regular surface water wave. These two topics of study can be studied further because they are at the interface of theories and other applications. They can also be explained mathematically with some relevant information borrowed from physics. In this research study, the study of water wave is examined in various forms. It can either be considered through the estimation of minute amplitude motions or through the use of nonlinear governing equations for water waves. For that matter it is essential to apply various mathematical methods and other modeling approaches to provide an overall view on the topic of the research study.

Is your time best spent reading someone else’s essay? Get a 100% original essay FROM A CERTIFIED WRITER!

Save 25%

Water waves are the natural phenomenon which is mostly observed in large water bodies such as oceans and seas. It is a topic which is fascinating and mathematical and therefore requires a deep understanding on mathematics and physics. The study of water waves in therefore is related to the study of fluid dynamics and the dynamics of the ocean in general. The use of mathematical theories to study water wave is very interesting because it is being used to provide the foundation for the creation of nonlinear dispersive wave theory. This is because the study of waves has led to the development of the idea of nonlinear dispersive waves and solitons. Water wave problems in large water bodies have been solved through the works of Leon-hard Euler in the year 1707 to 1783. There were other people such as A.G Cauchi (1789 to 1857) and S.D Poissson (1789 to 1840) who contributed significantly to the understanding of water wave phenomenon and also participated in the formulation and development of mathematical models that explains incompressible nature of fluid motion in oceans.

In studying water wave it is essential to understand and know the equations for water waves. Under this condition it is important to consider water as a constant gravitational field which has coordinates such as (x1, x2, y) and equivalent constituents of velocity vector u by (u1, u2, and v). In addition gravitational acceleration g is considered to be negative y direction.