ENVIRONMENTAL FLUID MECHANICS potx

... roasting a pig and having a picnic. The pig is roughly cylindrical and about 26 cm in diameter. It is roasted 248 Transient and multidimensional heat conduction Đ5.8 It requires solving the heat conduction ... impose heat transfer coef- ficients of 46 W/m 2 K. The two intervening sides are cooled by natural convection to water at 15 ◦ C, with a heat transfer coef- ficient of...

Ngày tải lên: 21/06/2014, 22:20

... condition of geometric similarity, so that any alteration in specific 20 Fluid Mechanics, Thermodynamics of Turbomachinery machine is plotted as a function of Pm p T 01 /p 01 for fixed values of N/ p T 01 , this ... namely a pump of a given size. To extend the range of this discussion, the effect of the geometric FIG. 1.2. Turbomachine considered as a control volume. 4...

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... Averaged Equations of Motion 378 3 80 385 393 406 424 427 428 4 30 431 432 444 448 453 461 467 471 475 4 80 482 483 485 493 495 4% 498 499 502 506 16 InbrMm where ... functions of temperature alone. See Exercise 7. Fluid Mechanics Second Edition Rjucsh K. Kundu Oceanographic Center Nova Universily Dmiu. Florida Ira M. Cohen...

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... discipline, called Environmental Fluid Mechanics. This synthesis is the object of the present book. Environmental Fluid Mechanics (EFM) borrows most of its materials from clas- sical fluid mechanics, ... Cataloging-in-Publication Data: Cushman-Roisin, Benoit Environmental Fluid Mechanics / Benoit Cushman-Roisin p. cm. Includes bibliographical references and index. ISBN 0- 1....

Ngày tải lên: 08/08/2014, 13:20

... 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 2 X 33 h 2 3 1. 3.59 Copyright 20 01 by Marcel Dekker, Inc. All Rights ... Reserved. Contents Preface Part 1 Principles of Environmental Fluid Mechanics 1. Preliminary Concepts 1. 1 Introduction 1. 2 Properties of Fluids 1. 3 Mathe...

Ngày tải lên: 11/08/2014, 13:21

... 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

... (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...

Ngày tải lên: 11/08/2014, 13:21

... introducing Eq. (4. 4.22) into Eq. (4. 4.21) we obtain Q F D i  2      U C i 2z   z 2 CÐÐÐ     2 dz 4. 4.23 The residue of the complex function subject to integration in Eq. (4. 4.23) is ... quantity, along with Eqs. (4. 4.6) and (4. 4.7) into Eq. (4. 4.1), the pressure distribution is obtained along the surface as shown in Fig. 4. 16. By integrating the pressure Figure 4. 16...

Ngày tải lên: 11/08/2014, 13:21

... of Eqs. (8. 7.19) and (8. 7.20) are given, respectively, by dx dt D V C c dx dt D V  c 8. 7.21 If the terms on the right-hand sides of Eqs. (8. 7.19) and (8. 7.20) are small, then Eq. (8. 7.19) indicates ... x  ∂Q ∂t C ∂QV ∂x  8. 7 .8 Combining Eqs. (8. 7.7) and (8. 7 .8) yields   ∂Q ∂t C ∂ ∂x QV  DA ∂h ∂x   0 P 8. 7.9 where h is the elevation of the water surface, given b...

Ngày tải lên: 11/08/2014, 13:21

... written as ∂f ∂y D ˇ 9. 5 .9 and models that consider constant values of ˇ are called beta-plane models. The first term on the right-hand side of Eq. (9. 5.8) is the vertical compo- nent of the curl ... that  has units of length 1 . Using Eq. (9. 4.3), Eqs. (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 d...

Ngày tải lên: 11/08/2014, 13:21

... 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 ... the y-andz-directions). For these conditions the governing equation (10. 7.1) becomes ∂C ∂t C U ∂C ∂x D E x ∂ 2 C ∂x 2  KC 10. 7.26 It should be noted that the diffusion terms in...

Ngày tải lên: 11/08/2014, 13:21

... 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 11. 3.8 C D C 0 p at x D 0 11. 3.9a C ... D y ∂ 2 C ∂y 2 11. 4.13 For steady-state conditions, we apply the following approximations (refer to Eqs. 11. 3.14 and 11. 3.27): D y D a T V (11. 4.14a) C D C 0 1 Á n Á D y υ (1...

Ngày tải lên: 11/08/2014, 13:21

... also that D  V Dt Ð  V D D Dt  V 2 2  12. 3.5 we substitute Eqs. (12. 3.2) and (12. 3.3) into Eq. (12. 3.1), rewriting the surface integral in Eq. (12. 3.1) as a volume integral, and combine ... important environmental transport pathway, as noted above. The usual approach for calculating volatilization or mass transfer rates is the two-layer model discussed in Sec. 12. 4. Equation (1...

Ngày tải lên: 11/08/2014, 13:21

... developed from Eqs. (13. 3.37)– (13. 3.39), along with Eqs. (13. 3.49) and (13. 4.5), ∂u j ∂x j D 0 13. 4.6 ∂u ∂t D 1  0 ∂p 0 ∂x C r 2 u 13. 4.7 ∂ v ∂t D 1  0 ∂p 0 ∂y C r 2 v 13. 4.8 ∂w ∂t D 1  0 ∂p 0 ∂z   0  0 g ... ∂z  ∂ 2 w ∂y 2  13. 4.12 Making a substitution as in Eq. (13. 2.17) for the velocity gradients, this becomes  ∂ ∂t  r 2  r 2 w Dgr 2 h ˛T 0 C ˇS 0  13....

Ngày tải lên: 11/08/2014, 13:21

... expvL/D 16. 2.4 The Peclet number of the barrier is defined by Pe b D vL D 16. 2.5 If Pe b is high, then Eq. (16. 2.4) can be approximated by F ³  vC en 16. 2.6 If Pe b is very small, then Eq. (16. 2.4) ... Eq. (16. 3.3) yields D max 16. 3.4 When this occurs, the reaction is called a zero-order reaction. Alternatively, in the limiting case of C s − K c , Eq. (16. 3.3) yields  D ...

Ngày tải lên: 11/08/2014, 13:21