Environmental Fluid Mechanics - Chapter 9 pot
Environmental Fluid Mechanics - Chapter 9 pot
... 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...
Environmental Fluid Mechanics - Chapter 8 pot
... of
Eqs. (8.7. 19) and (8.7.20) are given, respectively, by
dx
dt
D V C c
dx
dt
D V c8.7.21
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 ... channels.)
Henderson, F. M., 196 6. Open Channel Flow. Macmillan, New York. (Contains mate-
rial in a format of a textbook referring to waves in open channels.)
Hofman, J. D., 199 2. Numer...
Environmental Fluid Mechanics - Chapter 13 pot
... Press, NY.
Harleman, D. R. F., 196 1. Stratified flow. In Handbook of Fluid Mechanics, ed.
V. L. Streeter, ch. 26, McGraw-Hill, New York.
Lighthill, James, 197 8. Waves in Fluids. Cambridge University ... Buoyancy Effects in Fluids. Cambridge University Press,
Cambridge.
Turner, J. S., 197 9. Buoyancy Effects in Fluids. Cambridge University Press,
Cambridge.
Watson, Andrew, E. P. (ed.), 197...
Environmental Fluid Mechanics - Chapter 1 pdf
... of theo-
retical principles used in describing fluid motion and includes the derivation
of the basic mathematical equations governing fluid flow. Chapters 4 through
9 include discussions of potential ... students with appro-
priate fluid mechanics backgrounds. Although the book addresses principles
of fluid mechanics relevant to the entire environment, the emphasis is mostly
on water-related...
Environmental Fluid Mechanics - Chapter 2 pdf
... terms in Eq. (2 .9. 2)
are negligibly small, and the right-hand side is zero, the only way to balance
the equation is to have the third term also equal 0, i.e.,
rÐ
V D 0 2 .9. 9
which is the ... these assumptions, Eq. (2 .9. 10) reduces to
D
V
Dt
C2
ð
V C
D
Dt
ð
r C
ð
ð
rD
g
1
rp Cvr
2
V
2 .9. 11
For problems in environmental fluid mechanics, the...
Environmental Fluid Mechanics - Chapter 3 docx
... member?
SUPPLEMENTAL READING
Batchelor, G. K., 196 7. An Introduction to Fluid Dynamics, Cambridge University
Press, London.
Streeter, V. L., 196 1. Handbook of Fluid Dynamics, McGraw-Hill, New York.
(Summarizes ... potential (irrota-
tional) vortex with circulation ,givenby
D 2
1
r
2
1
3.2.32
The solution of the Navier–Stokes equations given by Eq. (3.2.31) is an inter-
esting cas...
Environmental Fluid Mechanics - Chapter 4 doc
... flows.
4.2 TWO-DIMENSIONAL FLOWS AND THE COMPLEX
POTENTIAL
4.2.1 General Considerations
In cases of potential, incompressible, two-dimensional flows, velocity compo-
nents are derived from the potential ... Reserved.
The major properties of the complex potential and its implications with
regard to and are presented in Eqs. (1.3 .90 )–(1.3 .99 ). The complex poten-
tial function is an analyt...
Environmental Fluid Mechanics - Chapter 10 doc
... formulated as “box - or “segment”-type models, especially when applied
to large systems or for long-term simulations (see, for example, Bierman et al.,
199 2; DePinto et al., 199 5). On the other ... 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-direct...
Environmental Fluid Mechanics - Chapter 11 ppsx
... 199 6. Transport Modeling for Environmental Engineers and Scientists.
John Wiley, New York. (Contains several comprehensive chapters referring to
transport in porous media.)
Hofman, J. D., 199 2. ... much larger
than is usually required, according to continuum mechanics of single-phase
materials. In single-phase materials, continuum mechanics requires reference
to an elementary volume s...
Environmental Fluid Mechanics - Chapter 12 ppt
... and Ghosh, U., 199 5. Surface aeration. J. of
Environmental Engineering 121(1):113–118.
Chapra, S. C., 199 7. Surface Water Quality Modeling. McGraw-Hill, Boston.
Danckwerts, P. V., 195 1. Significance ... 195 8).
Swinbank, W. C., 196 3. Longwave radiation from clear skies. Quar. J. Roy. Met. Soc.,
London, 89.
Upstill-Goddard, R., Watson, A., Liss, P. and Liddicoat, M., 199 0. Gas transfer...