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

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SUMMARY

The discussion centers on challenges faced when using the Weber-Davis solar wind model, specifically regarding the integration of equation (22) to derive equation (24). The user encounters difficulties in expressing the function u, which is dependent on r, leading to a paradoxical situation where the integration requires knowledge of u itself. The proposed solution involves estimating u and iterating, although uncertainty remains about the effectiveness of this approach.

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JvD
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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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