fullaclips
New member
- Joined
- Oct 7, 2016
- Messages
- 3
Any help on this problem would be greatly appreciated.
I've never dealt with a PDE that was raised to the second power.
From what I can gather from this powerpoint http://www2.latech.edu/~sajones/Biotransport/Lecture 7 on Stokes Flow.ppt (starting on slide 56), I am supposed to take the partial derivative of psi according to the equation as if the squared term was not there, then take the partial derivate of the resulting equation once more. This is represented in the transition from slide 58 to 59. I am able to take the partial derivative the first time and get the result shown, but I do not understand what is being done on slide 59 after the 1st equation.Namely (partial/partial r^2) does not seem correct to me, since the r^2 in the denominator of the second term seems to be treated as a constant when taking the partial derivative with respect to r. I also do not understand why they are taking (partial/partial theta) of what seems to be a different function.
I am trying to explain as clearly as possible, but I realize my description may be difficult to understand. So the tl;dr version of my question is:
how do you deal with the 2nd power in equation 2.5.12
I've never dealt with a PDE that was raised to the second power.
From what I can gather from this powerpoint http://www2.latech.edu/~sajones/Biotransport/Lecture 7 on Stokes Flow.ppt (starting on slide 56), I am supposed to take the partial derivative of psi according to the equation as if the squared term was not there, then take the partial derivate of the resulting equation once more. This is represented in the transition from slide 58 to 59. I am able to take the partial derivative the first time and get the result shown, but I do not understand what is being done on slide 59 after the 1st equation.Namely (partial/partial r^2) does not seem correct to me, since the r^2 in the denominator of the second term seems to be treated as a constant when taking the partial derivative with respect to r. I also do not understand why they are taking (partial/partial theta) of what seems to be a different function.
I am trying to explain as clearly as possible, but I realize my description may be difficult to understand. So the tl;dr version of my question is:
how do you deal with the 2nd power in equation 2.5.12