Environmental Fluid Mechanics - Chapter 2 pdf

... D  S 12 C 1 2 ∂S 12 ∂x 1 dx 1  dx 2 dx 1 2 C  S 12  1 2 ∂S 12 ∂x 1 dx 1  dx 2 dx 1 2   S 21 C 1 2 ∂S 21 ∂x 2 dx 2  dx 1 dx 2 2   S 21  1 2 ∂S 21 ∂x 2 dx 2  dx 1 dx 2 2 2. 6 .2 Copyright ... u 1 x 2  D 1 2  ∂u 2 /∂x 1 x 1 x 1  ∂u 1 /∂x 2 x 2 x 2  D 1 2  ∂u 2 ∂x 1  ∂u 1 ∂x 2  D ω 21 Dω 12 2. 3.10 C...

Ngày tải lên: 11/08/2014, 13:21

... represented by z 1 z 2 D x 1 C iy 1 x 2 C iy 2 D x 1 C iy 1 x 2  iy 2  x 2 C iy 2 x 2  iy 2  D x 1 x 2 C y 1 y 2 x 2 2 C y 2 2 C i y 1 x 2  x 1 y 2 x 2 2 C y 2 2 1.3.87 Copyright 20 01 by Marcel ... of Eq. (1.3.58) are given by X 11 h 2 1 X 12 h 1 h 2 X 13 h 1 h 3 X 21 h 2 h 1 X 22 h 2 2 X 23 h 2 h 3 X 31 h 3 h 1 X 32 h 3 h...

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... this chapter by examples of agency regulations for their implementa- tion. Finally, a brief discussion will present similar requirements by states and munic- ipalities. 2. 1 THE NATIONAL ENVIRONMENTAL ... Statement (EIS) will be described: 1. The National Environmental Policy Act (NEPA). 2. The Council on Environmental Quality (CEQ) Regulations for Imple- menting NEPA. 3. Executiv...

Ngày tải lên: 11/08/2014, 04:20

...  i1 /2, j x 3.5.4  ∂ ∂y  i,j ³  i,jC1 /2   i,j1 /2 y 3.5.5  ∂ 2  ∂x 2  i,j ³ 1 x   ∂ ∂x  iC1 /2, j   ∂ ∂x  i1 /2, j  ³  iC1 /2, j  2 i,j C  i1 /2, j x 2 3.5.6  ∂ 2  ∂y 2  i,j ³ 1 y   ∂ ∂y  ,jC1 /2   ∂ ∂y  i,jC1 /2  ³  i,jC1 /2  ... we obtain ∂ 2 v ∂x∂t  ∂ 2 u ∂y∂t C u  ∂ 2 v ∂x 2  ∂ 2 u ∂y∂x  C v  ∂ 2 v ∂x∂...

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... D dw dz D q 2 z D qQz 2 zQz D q 2  x iy x 2 C y 2  4 .2. 22 Therefore the complex velocity is given by V D q 2  x Ciy x 2 C y 2  D q 2  cos  C i sin  r  D q 2 r e i 4 .2. 23 This result ... 4 .2. 29 aq  !  The complex potential function of the doublet is developed as follows: w D q 2 ln  z Ca z a  D q 2 ln  z 2 C 2az Ca 2 z 2  a 2  D q 2...

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... be obtained: c D D c E V D D V E 8.7 .24 a V A  2c A D V D  2c D 8.7 .24 b V B  2c B D V E  2c E 8.7 .24 c V A  2c A D V B  2c B 8.7 .24 d Copyright 20 01 by Marcel Dekker, Inc. All Rights ... 8. 12 shows a schematic of the formation of a hydraulic jump in a rectangular channel. Neglecting the right-hand side of Eq. (8.7.11), we have q 2 gy 1 C y 2 1 2 D q 2 gy 2 C y...

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... D C 1 exp  z p 2  cos  z p 2 C C 3  C C 2 exp   z p 2  cos  z p 2 C C 4  9.4.9 and v D C 1 exp  z p 2  sin  z p 2 C C 3  C C 2 exp   z p 2  sin  z p 2 C C 4  9.4.10 where ... (9.4.1) and (9.4 .2) are rewritten as i 2  2 v D d 2 u dz 2 9.4.4 and i 2 u D i d 2 v dz 2 9.4.5 where i D p 1 and ordinary derivatives are substitu...

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... D q 0 expxU/2E x  4E x E y  1 /2   U 2 t/4E x CKt 0 1  1 exp   1  ˇ 2 2  1  d 1  10.7 .21  where  1 D  U 2 4E x C K  t  t 1 10.7 .22  ˇ 2 D [E y x 2 C E x y 2 U 2 E y C 4E x E y K] 1 /2 4E x E y 10.7 .23  and ... 4E x E y K] 1 /2 4E x E y 10.7 .23  and q 0 is the injection rate (per unit length). The steady-state solution is C D q 0 expxU...

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... h i1 /2, j ] mC1 (11.6.9b) ∂ ∂x  T ∂h ∂y  ³ 1 y     T mC1  ∂h ∂y  mC2  i,jC1 /2   T mC1  ∂h ∂y  mC2  i,j1 /2    D 1 y 2 [T mC1 i,jC1 /2 h mC2 i,jC1  h mC2 i,j T mC1 i,j1 /2 h mC2 i,j  ... D dQ dx DKB d 2 h dx 2 q v D ˛ h  h 0 b 4 Introducing Eqs. (1), (2) , and (4) into Eq. (3), we obtain BK d 2 h dx 2  ˛ h  h 0 b D 0 5 Rearranging this res...

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... to 0.016. Upon substituting Eqs. ( 12. 2.1), ( 12. 2 .2) , and ( 12. 2.5) into ( 12. 2.3), an expression for c z is obtained, 1 p c z D 1 Ä ln  gz ˛ c c z W 2 z   12. 2.6 which must be solved iteratively ... 0.97T 4 s Ł  12. 3 .21  where T s Ł is the absolute water surface temperature. Substituting for ,  b ¾ D 4 ð 10 8 T 4 s Ł Btu/ft 2  day 12. 3 .22 a or  b ¾ D 1.4 ð 10...

Ngày tải lên: 11/08/2014, 13:21