Basics of Fluid Mechanics, 2014a

4.4. FLUID IN A ACCELERATED SYSTEM 97
velocity liquid start to exit the U tube? If the rotation of U tube is exactly at the center,
what happen the rotation approach very large value?
Advance material can be skipped
4.4.3 Fluid Statics in Geological System
This author would like to express his gratitude to
Ralph Menikoff for suggesting this topic.
In geological systems such as the Earth provide cases to be used for fluid static for
estimating pressure. It is common in geology to assume that the Earth is made of
several layers. If this assumption is accepted, these layers assumption will be used to
do some estimates. The assumption states that the Earth is made from the following
layers: solid inner core, outer core, and two layers in the liquid phase with a thin crust.
For the purpose of this book, the interest is the calculate the pressure at bottom of
the liquid phase. This explanation is provided to understand how to use the
Fig. -4.18. Earth layers not to scale. 10
bulk modulus and the effect of rotation. In reality, there might be an additional effects
which affecting the situation but these effects are not the concern of this discussion.
Two different extremes can recognized in fluids between the outer core to the
crust. In one extreme, the equator rotation plays the most significant role. In the
10 The image was drawn by Shoshana Bar-Meir, inspired from image made by user Surachit