p0410 - 4.10. CHAPTER 4, PROBLEM 10 379 4.10 Chapter 4,...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
4.10. CHAPTER 4, PROBLEM 10 379 4.10 Chapter 4, Problem 10 U y x . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................................... ..... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................................... . .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .......... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....... Figure 4.2: Stagnation-point flow. 4.10(a): In general, we know that the acceleration is a = d u dt ±,²1 Total = u t ±,²1 Unsteady + u · u ± 1 Convective First, compute the unsteady acceleration, i.e., u t = 2 R dU dt ( x i y j ) Next, evaluate the differential operator u · .W eh av e u · = 2 U R X x x y y ~ Thus, the convective acceleration is u · u = 2 U R X x x y y ~ 2 U R ( x i y j ) = 4 U 2 R 2 ( x i + y j ) Therefore the total acceleration is a = d u dt = 2 R X dU dt +2 U 2 R ~ x i 2 R X dU
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/12/2009 for the course AME 309 at USC.

Page1 / 2

p0410 - 4.10. CHAPTER 4, PROBLEM 10 379 4.10 Chapter 4,...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online