I think maybe that is the problem. This is but one step in a Taylor Aris dispersion problem. I am unsure if I can even go back and change my differential equation into a more friendly form. Essentially, what I have presented here is a multiplication of two functions which each were obtained...
Thanks for the response. I0 is the modified Bessel function of the 1st kind. If r was raised to an integer power, there is a well-known recursion formula. I cannot take advantage of that recursion, because there are only special instances where x will give me an integer value for the power of r.
I am having some difficulty figuring out how to do this integral analytically.
∫r1-x*I0(alpha*r)dr
I have attempted to do integration by parts, but am unable to find any recursion. This would be easy if x was not variable. Also, I have attempted just expanding this term into a Taylor...
^That wouldn't work. Table sugar or Sucrose is nonreducing and will not give a positive Benedict's test result.
Edit: Aspartame breaks down when heated and the drink would loose its sweetness, plus it is free to do this test.
I believe your problem lies in the fact that you are only looking in two dimensions. What orbital theory are you using? Valence shell theory is useless for all practical applications anyway.
I would use a non dimensionalized Navier Stokes to solve for this sort of thing, but with the case that you are speaking involving temperature gradients, I might suggest using Femlab to do this sort of thing.
hmm... Things I am thinking include:
what is your fluid?
How does it's density change with temperature?
what is your mass/volumetric flow rate?
Can you make any assumptions about either the inlet or outlet pressure?
How did you calculate your Re to determine turbulence without a velocity?
Actually I'm doing reaction equillibria with the extended van't Hoff equation. Thank you so very much for your assistance.
Can I get the name of the database you are using if you don't mind?
I need the heat capacity Ethyl Acetate as a function of temperature. I've seen books that give heat capacity as a function of functional group, but the problem is they are only at one temperature. What I basically need is some coefficients that would fit into the equation Cp= A +BT+CT^2+DT^-2...