The motion equation of seawater is divided into two parts: continuity equation and momentum equation. The continuity equation describes the conservation of seawater quality, that is, the change of seawater quality in space and time. The momentum equation describes the conservation of momentum of seawater, that is, the mechanical properties of seawater movement. The continuity equation is based on the principle of mass conservation. It means that the change rate of seawater quality in space and time is equal to the difference between the inflow and outflow speed of seawater. Specifically, the continuity equation can be expressed in the following form:
dp/at+v (pv)=0
Where p represents the density of seawater, t represents time, v represents the velocity vector of seawater, and v represents the divergence of vector. The momentum equation is obtained according to the principle of momentum conservation. It describes the mechanical properties of seawater movement, including pressure, friction and external force. Specifically, the momentum equation can be expressed in the following form:
(pv)/0t+v(pvv)=-vP+VT+F
Where p stands for seawater static pressure, t stands for seawater stress tensor and f stands for external force vector.
The solution of seawater motion equation needs to consider the interaction of various factors. For example, there is a relationship between the density and temperature of seawater, which is called the equation of state. In addition, the movement of seawater is also affected by the earth's rotation and topography.
The equation of seawater motion has important application value in marine scientific research and marine engineering. By solving the equation of seawater motion, we can predict the change of ocean current and analyze the change of marine environment, and provide scientific basis for marine engineering design and marine resources development.
The equation of sea water motion is a basic equation describing the movement of water in the ocean. It includes two parts: continuity equation and momentum equation, through which the laws of mass conservation and momentum conservation of seawater can be described. The equation of seawater motion is widely used in marine scientific research and marine engineering, and it is of great significance to predict ocean currents and analyze the changes of marine environment.