Has Anyone Experienced Challenges with the Weber-Davis Solar Wind Model?

AI Thread Summary
The discussion centers on challenges faced while using the Weber-Davis solar wind model, particularly in integrating a specific equation. The user is struggling with a paradox where the integration requires knowledge of a function, u, that is dependent on r, creating a circular problem. They are considering estimating u and using an iterative approach to resolve the issue. The conversation highlights the complexities of applying theoretical models to practical projects. Seeking assistance from others with experience in this model is a key focus.
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Hi, I was wondering if anyone here had any experience (preferably intimate) with the Weber-Davis solar wind model, i.e. : http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?db_key=AST&bibcode=1967ApJ...148..217W&letter=0&classic=YES&defaultprint=YES&whole_paper=YES&page=217&epage=217&send=Send+PDF&filetype=.pdf

I'm currently usuing their results on a related project and I'm in need of some help!

Thanks
 
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Greg Bernhardt said:
What is your problem specifically?
Integrating (22) to get (24) (or a variation of).

The problem is that, after making the substitution and reducing the function to only u and r (as per the text below (22)), the integral seems paradoxically impossible. That is, I'm ultimately, via way of transcendental equation, looking to express u (which is in itself a function of r, i.e. u=u(r)) in terms of r, but in order to integrate (22) you need to know u, creating an infinite loop of head-against-the-wall confusion.

My best guess is to estimate u and iterate, but I'm really not sure
 

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