Navier-Stokes Equations

Question 1

What do the Navier-Stokes Equations Describe?

Answer 1

How the Velocity, Pressure, Temperature, and the density of a moving fluid are related.

Question 2

What is a number that is an indicator of continuum?

Answer 2

Knudsen number: Kn = lambda / l = mean free path length / characteristic length

Question 3

For what Knood’s number is Navier-Stokes Applicable?

Answer 3

Kn < 0.01

Question 4

What are the four independent variables in Navier-Stokes?

Answer 4

The spatial coordinates and time.

Question 5

What are the six dependent variables for Navier-Stokes?

Answer 5

Pressure
Density
Temperature
Velocity components

Question 6

What is the formula for Stokes hypothesis?

Answer 6

Lambda = -2/3 micro

Question 7

What are the Euler Equations?

Answer 7

Set of partial Differential Equations governing adiabatic and inviscid flow. Also called momentum equations

Question 8

What to Navier-Stokes Equations Consist of?

Answer 8

Conservation of Mass, Momentum and Energy

Question 9

What are the Euler Equations?

Answer 9

The momentum equations

Question 10

What is Time Averaging?

Answer 10

Unsteady signal is decomposed in a mean and a fluctuating part.