×
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 4 - Problem 88p
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 4 - Problem 88p

×

# Briefly explain the similarities and differences between

ISBN: 9780071284219 39

## Solution for problem 88P Chapter 4

Fluid Mechanics | 2nd Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Fluid Mechanics | 2nd Edition

4 5 1 357 Reviews
19
1
Problem 88P

Problem 88P

Briefly explain the similarities and differences between the material derivative and the Reynolds transport theorem.

Step-by-Step Solution:
Step 1 of 3

Material derivative:-

• Material derivative describes the time rate of change of some physical quantities.

• To get the equation of motion by this, we need to solve partial differential equations by which the system is defined.

• It is a lagrangian way of describing the rate of change of properties of the fluid.

• The differentiation has to be taken with respect to time and space in this case.

• For an example by this we can calculate the temperature change in the fluid as the fluid flows in space and time.

• As it is a lagrangian way, it depends on the time and spatial coordinates of individual particles in the fluid.

Reynolds transport theorem:-

• Here we use the differentiation under the integral sign which is not so trivial and we need to follow some rigorous steps without fail.

• It associated with the control volume control system.

• It relates the change in system properties with the change in control volume system.

• It can be used in the laws of thermodynamics as it deals with volume and systems which are parts of thermodynamic variables.

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution