# computing flux

• Apr 23rd 2009, 09:10 PM
TheRekz
computing flux
Compute the flux of the vector field, $\displaystyle \vec{F}$, through the surface, S.
$\displaystyle \vec{F} = (e^{xy} + 11z + 4)\vec{i} + (e^{xy} + 4z + 11)\vec{j} + (11z + e^{xy})\vec{k}$ and S is the square of side 2 with one vertex at the origin, one edge along the positive y-axis, one edge in the xz-plane with $\displaystyle x \geq 0, z \geq 0$, and the normal is $\displaystyle \vec{n}= \vec{i} -\vec{k}$ .

Can someone help me...
• Apr 23rd 2009, 10:21 PM
foxjwill
We can parameterize the surface S as
$\displaystyle \vec{S}(u,v)=u\,(\hat{k}-\hat{\imath}) + v\,\hat{\jmath}$
for $\displaystyle u,v\in [0,2]$ which can then be plugged into the formula for the surface integral.
• Apr 26th 2009, 01:20 PM
TheRekz
Quote:

Originally Posted by foxjwill
We can parameterize the surface S as
$\displaystyle \vec{S}(u,v)=u\,(\hat{k}-\hat{\imath}) + v\,\hat{\jmath}$
for $\displaystyle u,v\in [0,2]$ which can then be plugged into the formula for the surface integral.

I don't understand why you use u and v...