Help Setting Up Equation To Find Curl of Navier-Stokes Equation

Click For Summary
SUMMARY

This discussion focuses on the challenges of applying equations 2.1 and 2.2 from a provided article to compute the curl of the Navier-Stokes equation. The user expresses difficulty in understanding the steps outlined by the professor, particularly in evaluating the term '(Beta)yk X v'. The conversation highlights the need for clarity in the explanation of vector operations and the use of LaTeX for better communication of mathematical expressions. The user seeks assistance in navigating these complexities to successfully complete their homework assignment.

PREREQUISITES
  • Understanding of vector calculus, specifically curl operations
  • Familiarity with the Navier-Stokes equations
  • Proficiency in LaTeX for mathematical typesetting
  • Basic knowledge of fluid dynamics concepts
NEXT STEPS
  • Study the derivation and application of the Navier-Stokes equations in fluid dynamics
  • Learn how to compute the curl of vector fields in vector calculus
  • Explore LaTeX documentation for formatting complex mathematical equations
  • Review examples of vector operations in physics, particularly in fluid mechanics
USEFUL FOR

Students studying fluid dynamics, mathematicians working with vector calculus, and anyone involved in computational fluid dynamics who needs to understand the Navier-Stokes equations.

AKBob
Messages
1
Reaction score
0
1.
Homework Statement

I'm having trouble using equation 2.1 or 2.2 in the article to find the curl of the navier-stokes equation. I understand how to find curl, but can't make sense of the explanation/steps in the document provided by the professor.

Homework Equations


All relavent equations are included in the two attachments.

The Attempt at a Solution


I'm really having trouble getting started. The document provided by my professor says to "First evaluate the '(Beta)yk X v' term, substitute that in (v is the vector discussed at the top)," but the equation at the top looks like a general equation, and I'm starting to get frustrated.

Any help/ideas/suggestions would really be appreciated.
 

Attachments

Physics news on Phys.org
All the equations in the attachments are broken beyond repair.
 
Yeah, sorry, use some LaTeX please. It'll be easier on everyone (well, except maybe you). Example:

[tex]\rho \left(\frac{\partial v}{\partial t} + v \cdot \nabla v \right) = - \nabla p + f + \overline T(\nabla)[/tex]

Is given by

Code:
[tex]\rho \left(\frac{\partial v}{\partial t} + v \cdot \nabla v \right) = - \nabla p + f + \overline T(\nabla)[/tex]
 

Similar threads

Replies
1
Views
6K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K