Would a Professor be responsive to a meeting request from a PhD student like this? I am a graduate school applicant and am considering requesting a meeting with a professor while I'll be visiting a city near their university town.

The current e-mail format I have in mind goes roughly as follows:


  Dear Professor X,
  
  I am a graduate school applicant at University A. Before this I
  graduated from University B and have worked with Professor C* on some
  research projects. I am visiting City D for the next two weeks or so
  and I would be delighted if you could meet with me for a few minutes
  to discuss your latest work on topic E. I've been very interested in
  topic E and have been spending time trying to learn more about it, writing up
  some notes on this and related topics along the way (which you can
  find on webpage F). 
  
  Thanks for your time. (signed, me)


*Professor X has coauthored many papers with Professor C and they still collaborate frequently.

My question is that would you as a Professor be responsive to an email of this nature? What improvements or extra information would you suggest to add that would make you more likely to grant such a request to meet? Is there something in the above which would make you not want to meet?

Other info: I have never had any contact with Prof X before this. Prof X is a big name and an extremely active researcher in the relevant field.
@Penguin_Knight's comment is the best advice in this situation: ask Professor C to introduce you (via email with you in CC) to Professor X and mention that you will be in town and would like to chat.  Professor X may not have time to read all the messages she gets from students and other people she doesn't know, so there is always a chance your message -- not matter how well-crafted -- may be overlooked.  But a message from a coauthor will immediately stand out and is sure to be read carefully.

This is a very natural thing for Professor C to do (assuming she has a positive opinion of you and your work); you should make the request politely but you don't need to feel that it is a huge favor.

If you leave a good impression, this introduction and the subsequent visit will usually drastically improve your chances of admission.