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10-98 For the linear approximation of Prob. 10-97, use the definition of local skin friction coefficient and the Kármán integral equation to generate an expression for 8/x. Compare your result to the Blasius expression for 8/x. (Note: You will need the results of Prob. 10-97 to do this problem.)

10-98 For the linear approximation of Prob. 10-97, use the definition of local skin friction coefficient and the Kármán integral equation to generate an expression for 8/x. Compare your result to the Blasius expression for 8/x. (Note: You will need the results of Prob. 10-97 to do this problem.)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.70P
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10-98 For the linear approximation of Prob. 10-97, use the definition of local skin friction coefficient and the Kármán integral equation to generate an expression for 8/x. Compare your result to the Blasius expression for 8/x. (Note: You will need the results of Prob. 10-97 to do this problem.)
Transcribed Image Text:10-98 For the linear approximation of Prob. 10-97, use the definition of local skin friction coefficient and the Kármán integral equation to generate an expression for 8/x. Compare your result to the Blasius expression for 8/x. (Note: You will need the results of Prob. 10-97 to do this problem.)
10-97 The streamwise velocity component of a steady, incompressible, laminar, flat plate boundary layer of boundary layer thickness 8 is approximated by the simple linear expression, u = Uy/8 for y<8, and u = U for y> 8 (Fig. P10-97). Generate expressions for displacement thickness and momentum thickness as functions of 8, based on this linear approximation. Compare the approximate values of 8/8 and 8/8 to the values of 8*/8 and 9/8 obtained from the Blasius solution. Answers: 0.500, 0.167 000) = V (10-97 provided as context for 10-98 only)
Transcribed Image Text:10-97 The streamwise velocity component of a steady, incompressible, laminar, flat plate boundary layer of boundary layer thickness 8 is approximated by the simple linear expression, u = Uy/8 for y<8, and u = U for y> 8 (Fig. P10-97). Generate expressions for displacement thickness and momentum thickness as functions of 8, based on this linear approximation. Compare the approximate values of 8/8 and 8/8 to the values of 8*/8 and 9/8 obtained from the Blasius solution. Answers: 0.500, 0.167 000) = V (10-97 provided as context for 10-98 only)
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