chapter 7 (cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269...

31
Chapter 7

Upload: others

Post on 16-Aug-2021

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7

Page 2: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 3: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

CV analysis (laminar or turb.) gives:

Page 4: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Karman’s laminar BL approximate solution:

Using the velocity profile he found the BL thickness, the shear-stress, and the momentum thickness as:

which are only 10% higher than the exact solution for laminar flat-plate flow (shown later).

Page 5: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 6: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 7: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 8: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 9: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 10: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 11: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 12: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 13: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 14: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 15: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 16: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 17: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 18: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 19: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 20: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 21: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 22: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 23: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 24: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 25: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 7 (Cont’d)

Page 26: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 8

Page 27: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 8 (Cont’d)

Page 28: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 8 (Cont’d)

Page 29: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 8 (Cont’d)

Page 30: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 8 (Cont’d)

Page 31: Chapter 7 (Cont’d) - user.engineering.uiowa.edume_160/2017...0.95552 0.96696 0.97587 0.98269 0.98779 0.99155 where the prime denotes differentiation with respect to n. Substitution

Chapter 8 (Cont’d)