Environmental Fluid Mechanics - Chapter 3 docx

... (3. 3.1), we obtain ∂ 2 p ∂x 2 k D 0 3. 3.2 This indicates that the pressure is a harmonic function in creeping flows. In two-dimensional, steady creeping flow, Eq. (3. 3.1) becomes r 4 D 0 3. 3 .3 indicating ... u  ∂ 2 v ∂x 2  ∂ 2 u ∂y∂x  C v  ∂ 2 v ∂x∂y  ∂ 2 u ∂y 2  D v  ∂ 3 v ∂x 3  ∂ 3 u ∂y∂x 2 C ∂ 3 v ∂x∂y 2  ∂ 3 u ∂y 3  Problem 3. 2 Figure 3. 2 shows a plate with...

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... following require a record of environmental consideration (REC), which is another DA safeguard for the NEPA process: A-7, A-11(b), A-12, A-14, A-19, A-20, A-21 through A-29. A REC describes the ... necessary revi- sions required by the client are made then. 3. 4 .3 T ASK 3SCOPING MEETINGS Prior to the scoping meetings, it is often useful to prepare a 5 to 10 page preliminary environmen...

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... components: 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 2 X 33 h 2 3 1 .3. 58 In terms of the contravariant components of the second order tensor, the phys- ical components ... phys- ical components 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...

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... components of the vorticity vector are given by ω 1 D ∂u 3 ∂x 2  ∂u 2 ∂x 3 ω 2 D ∂u 1 ∂x 3  ∂u 3 ∂x 1 ω 3 D ∂u 2 ∂x 1  ∂u 1 ∂x 2 2 .3. 12 Irrotational flow is a flow in which all components of ... R 3 E i 3 2.7.6 A fixed observer, F.O., observes the rate of change of the vector E R as  d E R dt  F.O. D d dt R 1 E i 1 C R 2 E i 2 C R 3 E i 3  D E i 1 dR 1 dt C E i 2 d...

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... the hydraulic conductivity are given as k D d 2 32 K D gk v 4 .3. 7 For three-dimensional domains, Eq. (4 .3. 5) can be generalized as Eq DKrh4 .3. 8 This proportionality between the specific discharge ... applied. Solution (a) K D gd 2  32 v D 9.81 ð 0.1 ð10 3  2 ð 0 .3 32 ð 10 6 D 9.2 ð 10 4 m/s D 79.5m/day (b) Re D qd v D 1 ) q D Re v d D 1 ð 10 6 0.1 ð 10 3 D 10 2 m/s...

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... downstream of the jump Fr 2 , giving y 1 y 2 D 1 2   1 C 8Fr 2 2  1  8.7 .33  Equations (8.7 .32 ) and (8.7 .33 ) determine the relationships between y 1 and y 2 that lead to the formation of ... to Eq. (8.7 .31 ), V s C V 1  2 gy 1 D 1 2  y 2 y 1  y 2 y 1 C 1  8.7 .34  The continuity equation yields V s C V 1 y 1 D V s C V 2 y 2 8.7 .35  Equations (8.7 .34 ) and (8.7 .3...

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... results in ∂u ∂z D ∂ v ∂z D 0 9 .3. 3 Since there is no vertical motion, the angular velocity vector is oriented in the z-direction. Equations (9 .3. 2) and (9 .3. 3) indicate that the velocity vector does ... eastern Pacific. Proc. Nat. Acad. Sci. 33 :31 8 32 6. Veronis, G. and Stommel, H., 1956. The action of variable wind stresses on a stratified ocean. J. Mar. Res. 15(1): 43 75. von Arx,...

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... in the x-direction are shown in Fig. 10.6, but similar fluxes may be defined for the y-andz-directions. Using a truncated Figure 10.6 Fluid element, showing fluxes of species 1 in the x-direction. Copyright ... Rights Reserved. 10 Environmental Transport Processes 10.1 INTRODUCTION The field of environmental fluid mechanics spans a broad range of topics. Though based primarily on fluid mec...

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... Á n dÁ  D D y n υ 11 .3. 32 After performing the integral of Eq. (11 .3. 32), using separation of variables and integrating again, using Eq. (11 .3. 39), we obtain υ 2 D 2 D y V nn C 1x (11 .3. 33) As an example, ... 0att>0,x D1 11 .3. 7c The Laplace transform of Eqs. (11 .3. 6), (11 .3. 7b), and (11 .3. 7c), respectively, yields ∂ 2 C ∂x 2  V D ∂ C ∂x  p C D 0whereC D Cx, p...

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... temper- ature is related to actual temperature by T v Ł D T Ł  1–0 .37 8 e a p  12 .3. 31 where p is pressure. Using the virtual temperature difference in Eq. (12 .3. 30),  e D T sv  T av  1 /3 e s  ... Interface Gas K g (cm/hr) K L (cm/h) K H SO 2 1,600 34 ,420 0. 038 N 2 O 1,900 20 1.6 CO 2,400 20 50 CH 4 3, 180 20 42 CCl 4 1, 030 10.7 1.08 CCl 3 F 1,085 11 .3 5 Source: Ad...

Ngày tải lên: 11/08/2014, 13:21