Solution Manual to An Introduction to Fluid Mechanics (Cambridge, 2013) by Faith A. Morrison Chapter 3c

Document Content and Description Below

Solution Manual to An Introduction to Fluid Mechanics (Cambridge, 2013) by Faith A. Morrison Chapter 3c 2013 Faith A. Morrison, all rights reserved. 203 PROBLEM: 3.1 What is a control volume? W... hy does the field of fluid mechanics introduce this concept? SOLUTION Newton’s laws of motion govern the motion of bodies. When the body considered is a thrown ball or a moving train, the body is an integral solid and all parts move at the same speed. When the body considered is part of a fluid, different parts of the system under consideration move at different speeds. The laws of motion still apply; they are just very difficult to apply since there is a nearly infinite number of “bodies” in a fluid (compared to just one in the case of the ball or the train). The approach of classical fluid mechanics is to step away from keeping track of the motion of an infinite number of fluid packets (bodies) and to keep track instead of the fluid that enters and leaves a chosen region in space. This region is called the control volume. Balances written on control volumes rather than on bodies have an additional term, called the convective term, that accounts for changes due to material flow into and out of the control volume. [Show More]

Last updated: 6 months ago

Preview 1 out of 84 pages