For my transport physics I have to describe how much volume through a rectangular pipe goes. The speed is given by $\displaystyle V_x=V_0 \frac{y}{h}$.
But I have to define the plane with a double integral.
I have to solve the equation on the right bottom hand of my picture. Which borders to I have to set and over which value $(dx, dy, dz)$ should I integrate.
I now that I can describe the plane by using pythagoras and the average speeds but I have to describe it with a double integral. Anyone an idea?
Kind regards,
Glenn