1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gradient anf flux

  1. Mar 19, 2006 #1
    Is it always true that the gradient of a function is normal to the flux coming out of the surface represented by the function?
  2. jcsd
  3. Mar 19, 2006 #2


    User Avatar
    Homework Helper

    The gradient of a function is normal to the surfaces on which the function is constant. To see why this is, note that if you move in the plane tangent to such a surface, the function does not change value (to first order), so you must be moving perpendicular to the gradient.
  4. Mar 20, 2006 #3


    User Avatar
    Staff Emeritus
    Science Advisor

    The flux of what? Depending on the formula for the flux, the flux may be at any angle to the surface and, if your surface is a level surface for some function, then the gradient of that function is normal to the surface. That has nothing to do with the flux which may depend on an entirely different function.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Gradient anf flux
  1. Question on Gradient (Replies: 11)

  2. Curl of a gradient (Replies: 3)

  3. Gradient problem (Replies: 5)