Hi, I am having difficulty understanding and applying Duhamel's principle. (I'm not great with math but somehow I found myself in this graduate math class of death)...
From my text its stated that
Ux1x1+Ux2x2+...+Uxnxn - Utt = f(x,t) (for x an element of all real), t>0
u(x,0)=0...
you don't HAVE to use phi(theta,phi), you can do this in cartesian coordinates... but i think it would be easier to use a different coordinate system. ( i would suggest trying spherical?)
Yes, I you have to change the object of the integral if you want to use a different coordinate system...
1. Homework Statement [/b]
See attached
2. Homework Equations
See attached
3. The Attempt at a Solution
I know the answer is 6 or zero... but I can't figure out how to "show" this. When typing this equation into my calculator, I can clearly see that the number always ends in .0...
well, you have multiple unknowns and 2 equations. u need as many equations as you have unknowns. Maybe you can choose i such that you have enough equations to solve?
[b]1. Homework Statement
I am suppose to use polar coordinate data to find derivatives, ie
x = r cos(theta)
y = r sin(theta)
r^2 = x^2 + y^2
[b]2. Homework Equations
show dtheta/dy = cos(theta)/r
show dtheta/dx = -sin(theta)/r...
I have seen a cooling problem solved in COMSOL which, I think is a form of CFD and the results were accurate and neat to look at too!
I have a quesiton, why do you say "Turbulent flow against the part to be cooled is MUCH more effective than laminar flow." I don't understand these physics.
this is an interesting site you may like. If you click tutorials on the side bar it takes you to a balancing tutorial and talks about different kinds of coolers etc...