
Applied Math Applied Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 9th, 2013, 11:24 PM  #1 
Newbie Joined: Sep 2013 Posts: 6 Thanks: 0  Vector field, curl and divergence question
Hi, I'm having a little trouble interpreting the first part of the problem, consequently I don't really know how to find v(x, y, z). What I interpret is that the fluid is rotating around the zaxis (since it says that the rotation is in the xyplane), so the vector v would be v=(Vx, Vy, 0) and since it's counter clockwise then it would become V=(wx, wy, 0). Is this correct or am I missing something? 
November 10th, 2013, 04:06 AM  #2 
Senior Member Joined: Feb 2013 Posts: 281 Thanks: 0  Re: Vector field, curl and divergence question
Yes, v_z = 0. But you don't need to introduce a new variable like w. You have to determine v_x and v_y with correct sign. Think in polar coordinate system if necessary. If you pick up a point, its orbit will be a circle. The velocity is always perpendicular to the radii, that is the tangential. You can find the length of the velocity considering that the omega is consant: v=omega*r. So make a sketch and try to find the component of v.

November 10th, 2013, 09:06 AM  #3 
Newbie Joined: Sep 2013 Posts: 6 Thanks: 0  Re: Vector field, curl and divergence question
Well yeah, what I meant by "w" was omega. Since I don't have the Greek letters here I used the one that looks like it.


Tags 
curl, divergence, field, question, vector 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Curl and divergence of units vectos  Jhenrique  Linear Algebra  11  January 18th, 2014 02:15 AM 
Vector field  Uniman  Linear Algebra  2  October 19th, 2012 08:32 AM 
Vector Calculus Divergence of a Vector Field  MasterOfDisaster  Calculus  2  September 26th, 2011 09:17 AM 
vector field  vv19882000  Real Analysis  1  July 2nd, 2009 03:44 PM 
Curl of a Radial field  dave111  Calculus  0  November 13th, 2008 03:31 PM 