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Student Notes Solution - LSN 12 - Vortex Flows

# Student Notes Solution - LSN 12 - Vortex Flows - ME 387...

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Unformatted text preview: ME 387, Introduction to Applied Aerodynamics Spring 2000 STUDENT NOTES AA-10 You are designing a spinning cylinder for use in a solar powered sailing competition. Your current design has a diameter of 2.00 feet and a length of 10.00 feet. You have determined the drag on your boat at cruise conditions to be 50 lbf. You have also contacted the National Weather Service to ﬁnd the mean wind speed for the time of year in which your craft will be competing. It is 35 knots. Assuming Standard Sea Level (SSL) conditions and that you are operating in a direct cross wind: 1. Determine the circulation required to propel your craft. 97*: ﬁx to at L: vl‘b . F: —D-= 9W 3 f “P Ts‘om " up V i: o,sm¢W%b;-‘(5‘i.iHJ/r)(lo 9:) r ..-::.:c.~'" 2. Write the expressions for the velocity components around your cylinder. Use cylindjcal coordinates. (is. write your answer with ‘r’ and '0‘ as the only variables) (ﬁti—L'Dﬁ' v s (l, {5;} v... (:ch : Q, m 5.” we "in . r " .___, M -1:i_?79_,,f ' ,W Va -: 4+ mm}; 3. Determine the Coefﬁcient of Pressure on the top surface of the cylinder( 0 = 00°) C? a (he ‘SﬁfAﬁL :12:- \thﬂ Ni: Va ~_— _ (1+?) SW s...,?o'— gist, : j— i 23,136 (3%} ﬁrst??? l* (’2?ng v” — Lit. _ 4B ' )1 ﬂab-F .'_H“'"_.”‘—'..- "t____ Ci)“: E" 95%.) @mg {or \{N may 3151' ‘uu5 ‘E’a‘vl fﬁﬁj’ 2:16 ...
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