Dispersion of mass in open-channel flow

Sayre, William W.

doi:10.3133/ofr67192

Cited by 47 publications

(38 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The conservation equation and its approximation -The area-averaged, one-dimensional equation of conservation of mass, neglecting vertical water velocities but accounting for settling of the particulate phase, can be written as (Jassby and Powell 1975;Sayre 1966) where c(z, t) is area-averaged concentration, t is time, z is depth (measured positive downward from the lake surface), A(z) is lake area enclosed within the z-depth contour, K(z, t) is an area-averaged vertical eddy diffusivity, w, is settling velocity (here taken as a constant for all particulate phases), and R(z, t) is a residual term arising both from the source-sink terms in the original threedimensional equation and from area-averaging the three-dimensional equation. R can be partitioned into at least four components for conceptual purposes: In Eq.…”

Section: Mathematical Modelmentioning

confidence: 99%

A numerical analysis of hypolimnetic nitrogen and phosphorus transformations in Lake Rotoiti, New Zealand: A geothermally influenced lake

Priscu

Spigel

Gibbs

et al. 1986

Limnology & Oceanography

View full text Add to dashboard Cite

Measurements of chlorophyll, oxygen, and particulate and dissolved forms of nitrogen and phosphorus made over a year were used in a one-dimensional diffusion model to calculate rates of generation or loss of these substances in the hypolimnion of Lake Rotoiti, New Zealand. During summer stratification the hypolimnion was always a sink for chlorophyll, particulate nitrogen (PN), particulate phosphorus (PP), and dissolved oxygen. The order of decomposition was chlorophyll > PP >PN. The hypolimnion was a source for NH4+ and dissolved reactive phosphorus (DRP), whereas dissolved organic nitrogen (DON) and dissolved organic phosphorus (DOP) showed no distinct seasonal trends. N,O reached 8,800% of air saturation just before the hypolimnion became anaerobic. At this time, the hypolimnetic N,O pool comprised about 13% of the total dissolved inorganic nitrogen pool. Diffusion of dissolved inorganic nitrogen (DIN) and DRP from the hypolimnion to the epilimnion could increase mean epilimnetic concentrations during summer stratification by 0.10 mg DRP m-3 d-l and 0.34 mg DIN m-3 d-l. The ratio of DIN : DRP supplied to the epilimnion was 3.4 (by weight), which would exacerbate DIN deficiency in this lake.

show abstract

Section: Mathematical Modelmentioning

confidence: 99%

A numerical analysis of hypolimnetic nitrogen and phosphorus transformations in Lake Rotoiti, New Zealand: A geothermally influenced lake

Priscu

Spigel

Gibbs

et al. 1986

Limnology & Oceanography

View full text Add to dashboard Cite

show abstract

“…We can point out that the experimental and theoretical studies were initiated by Taylor (1953) and Taylor (1954) [13][14], and were then somewhat expanded by Scheidegger (1954), Elder (1959), Parker (1961), Fischer (1967), Thackston and Krenkel (1967), Fischer (1968a), Fischer (1968b), Sayre (1968), Sayre and Chang (1968), Fischer (1969), and Sooky (1969) [16][17][18][19][20][21][22][23][24][25][26]. However, since technology was not yet well-developed at that time of these studies, they do not offer highly accurate measurements.…”

Section: Background Of the Literature Of Ldcmentioning

confidence: 99%

“…): There many current studies in this category. Some of these are, listed chronologically: Fischer (1967), Thackston and Krenkel (1967) [19][20] Nordin and Sabol (1974) [37][38], Day (1975), Fischer (1975) [39][40], Liu (1977) [42], Graf (1986) [45], Yu and Wenzhi (1989) [46], Al Naib and Sanders (1997) [49], Jobson (1997) [15], Koussis and RodriguezMirasol (1998), Seo II and Cheong (1998) [55][56], Strack and Fairbrother (1997) [53] 3) Canals (artificial/prismatic canal): In this category, we can mention Sayre (1968), Sayre and Chang (1968) [23][24], Sooky (1969) [26], Atesman (1970) [28], Fukooka and Sayre (1973) [35], Basha (1997) [50], Guymer (1998) [54], and Baek and Seo II (2008) [72]. …”

Section: Classification Of the Previous Workmentioning

confidence: 99%

“…These include Taylor (1953) [13], Scheidegger (1954) [16], Taylor (1954) [14], Parker (1961) [18], Fischer (1967), Thackston and Krenkel (1967), Fischer (1968a), Fischer (1968b), Sayre (1968), Sayre and Chang (1968), Fischer (1969), Sooky (1969) [19][20][21][22][23][24][25][26], Atesman (1970) [28], Bansal (1970), Sümer (1970) [30][31], Goodfrey and Frederick (1970) [29], Yotsukura et al (1970) [27], Chang (1971), Savci (1972), Fukooka and Sayre (1973), Savci (1973), McQuivey and Keefer (1974), Nordin and Sabol (1974), Day (1975), Fischer (1975), Abd El-Hadi and Davar (1976), Liu (1977), Fischer (1979), Chatwin (1980), Graf (1986), Yu and Wenzhi (1989), <...>…”

Section: Classification According To Dimension Of Longitudinal DImentioning

confidence: 99%

See 1 more Smart Citation

A Review of Proposed Techniques for Modeling Longitudinal Dispersion Coefficient in Natural Channels

Toprak

2016

JWRHE

View full text Add to dashboard Cite

Abstract-The World is facing a global climate change, while the world's population continues to grow. Therefore, providing sufficient water has become increasingly difficult in the last few decades. Artificially providing fresh water requires complex technology and economic investment. This is almost impossible, especially in underdeveloped countries. Due to these issues, water scarcity and/or stress is expected to rise dramatically in many regions in the world in the near future. Furthermore, current fresh water resources are vulnerable to pollutants (nuclear, biological, physical, and chemical). Conservation of fresh water resources has therefore become a critical issue. As is well known, the main fresh water sources are rivers and natural streams. Convective longitudinal dispersion is the most effective parameter in such sources. The longitudinal dispersion coefficient represents the rate of pollution and it is mostly used in water pollution modeling studies. Hence, learning the longitudinal dispersion mechanism in natural channels is vitally important to control water pollution. This paper's main purpose is to present a significant review and criticism on the literature related to both the longitudinal dispersion mechanism and the modeling techniques proposed for determining longitudinal dispersion coefficient in natural channels.

show abstract

“…Then, for an instantaneous injection of tracer mass at x = 0 and t = 0, eq. 12 has the well-known analytical solution, which may be written as a normalized response function (Sayre, 1968) …”

Section: Equation For Straight Prismatic Channelmentioning

confidence: 99%

An assessment of steady-state propane-gas tracer method for reaeration coefficients — Cowaselon Creek, New York

Yotsukura¹,

Stedfast²,

Draper³

et al. 1983

View full text Add to dashboard Cite

Dispersion of mass in open-channel flow

Cited by 47 publications

References 26 publications

A numerical analysis of hypolimnetic nitrogen and phosphorus transformations in Lake Rotoiti, New Zealand: A geothermally influenced lake

A numerical analysis of hypolimnetic nitrogen and phosphorus transformations in Lake Rotoiti, New Zealand: A geothermally influenced lake

A Review of Proposed Techniques for Modeling Longitudinal Dispersion Coefficient in Natural Channels

An assessment of steady-state propane-gas tracer method for reaeration coefficients — Cowaselon Creek, New York

Contact Info

Product

Resources

About