p0456 - 4.56. CHAPTER 4, PROBLEM 56 429 4.56 Chapter 4,...

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4.56. CHAPTER 4, PROBLEM 56 429 4.56 Chapter 4, Problem 56 0 hx y h Plane 2 Plane 1 n 1 n 2 ......................... . . . . . . . . . . . . . . . . . . . . . . . . . . .. . .... ................. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...... . . . . . . ..... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .................................................. . . . . . . . . . . . . . . . . . . . ............................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Figure 4.24: Stagnation-point flow. On Plane 1, the unit normal is n 1 = j , so that u · n 1 =( Ax i Ay j ) · ( j )= Ay Hence, the mass flux per unit width (out of the page) across Plane 1 is ˙ m 1 = 8 h 0 ρ ( Ay ) y = h dx = ρ Ah 2 Proceeding in a similar manner, the momentum flux per unit width, ˙ P 1 ,is ˙ P 1 = 8 h 0 ρ ( Ax i Ay j ) y = h ( Ay ) y = h dx = ρ A 2 h 8 h 0 ( x i h j ) dx = ρ A 2 h } 1 2 x 2 i xh j ] x = h x =0 = ρ A 2 h 3 } 1 2 i j ] On Plane 2, the unit normal is
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This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.

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p0456 - 4.56. CHAPTER 4, PROBLEM 56 429 4.56 Chapter 4,...

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