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Homework Help: Divergent nozzle

  1. Dec 11, 2017 #1
    1. The problem statement, all variables and given/known data
    upload_2017-12-12_0-14-50.png upload_2017-12-12_0-15-6.png

    where the boldface type denotes a vector quantity. In general, the incremental surface dS may be expressed as r dψ R d∅. Examining Figure 1, we see that dS = R2 sin∅ dψ d∅ for this particular nozzle. Substituting Equations 3 and 4 in Equation 2 and integrating ∅ from zero to θ and ψ circumferentially from zero to π, we arrive at the result
    upload_2017-12-12_0-14-29.png

    2. Relevant equations


    3. The attempt at a solution
    When I integrate to get 5, I get 0.5ρve2R2sin2θ instead. Shouldn't there be a 0.5 when you integrate sinθcosθ or did the paper miss out on something?

    Source: https://mdao.grc.nasa.gov/publications/NASA-TM-105176-Diverge.pdf
     
  2. jcsd
  3. Dec 16, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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