Discussion of “Mathematical Model for Dissolved Oxygen”

1964 ◽  
Vol 90 (6) ◽  
pp. 117-125
Author(s):  
Donald J. O'Connor ◽  
Dominic Di Toro ◽  
Robert V. Thomann
Keyword(s):  
Mathematical Model ◽  
Dissolved Oxygen

Prediction of dissolved oxygen concentration along sanitary sewers

1996 ◽  
Vol 34 (5-6) ◽  
pp. 525-532 ◽  
Author(s):  
J. Saldanha Matos ◽  
E. Ribeiro de Sousa
Keyword(s):  
Mathematical Model ◽  
Dissolved Oxygen ◽  
Oxygen Concentration ◽  
Oxygen Transfer ◽  
Oxygen Balance ◽  
Dissolved Oxygen Concentration ◽  
Empirical Expression ◽  
Slime Layer ◽  
Sanitary Sewers ◽  
The Mathematical Model

The oxygen balance in wastewater collection systems is important in respect to the degree of biological oxidation that occurs within the stream and in respect to the control of septicity and its effects. In this paper, a simple mathematical model is presented, in order to predict dissolved oxygen concentration profiles along sanitary sewers. The mathematical model was developed based on an analytical solution of the simple differential equation of dissolved oxygen balance in sewers, and includes an empirical expression for prediction of dissolved oxygen transfer to the slime layer on the pipe walls. Because the factors controlling dissolved oxygen balance in sewers are so complex, it would be unrealistic to expect, that with this rather simple model, dissolved oxygen concentrations can be accurately predicted. Nevertheless, it is reasonable to suppose that the predictions may be adequate for some design and operation purposes.

Numerical Simulation of Plug Discharge with Dissolved Oxygen Convection and Diffusion

2012 ◽  
Vol 433-440 ◽  
pp. 1920-1925
Author(s):  
Ze Gao Yin ◽  
Le Wang ◽  
Jin Xiong Zhang ◽  
Xian Wei Cao
Keyword(s):  
Mathematical Model ◽  
Dissolved Oxygen ◽  
Oxygen Concentration ◽  
Dissipation Rate ◽  
Concentration Distribution ◽  
Coupled Model ◽  
Computational Results ◽  
Dissolved Oxygen Concentration ◽  
Velocity Pressure ◽  
And Diffusion

In Fluent, the 3-D RNG k- ξ mathematical model is employed to compute the plug discharge, and dissolved oxygen convection and diffusion model is established to simulate the concentration distribution of dissolved oxygen with user defined scalar method. Velocity, pressure, turbulence kinetic energy, turbulence dissipation rate and dissolved oxygen concentration are computed. Then, velocity, pressure and dissolved oxygen concentration are compared with the data of physical model, and they agree with each other approximately, showing it is valid and reliable to compute the plug discharge and dissolved oxygen concentration with the coupled model. Furthermore, the characteristics of hydraulic factors including dissolved oxygen concentration are analyzed and generalized based on the computational results.

scholarly journals Follicle Structure Influences the Availability of Oxygen to the Oocyte in Antral Follicles

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
A. R. Clark ◽  
Y. M. Stokes
Keyword(s):  
Mathematical Model ◽  
Dissolved Oxygen ◽  
Oxygen Concentration ◽  
Oxygen Transport ◽  
Follicular Fluid ◽  
Antral Follicle ◽  
Antral Follicles ◽  
Cumulus Oocyte Complex ◽  
The Mean ◽  
Size And Structure

The ability of an oocyte to successfully mature is highly dependent on intrafollicular conditions, including the size and structure of the follicle. Here we present a mathematical model of oxygen transport in the antral follicle. We relate mean oxygen concentration in follicular fluid of bovine follicles to the concentration in the immediate vicinity of the cumulus-oocyte complex (COC). The model predicts that the oxygen levels within the antral follicle are dependent on the size and structure of the follicle and that the mean level of dissolved oxygen in follicular fluid does not necessarily correspond to that reaching the COC.

scholarly journals Mathematical model for predicting oxygen concentration in tilapia fish farms

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
El-Sayed Khater ◽  
Adel Bahnasawy ◽  
Hossam El-Ghobashy ◽  
Yousry Shaban ◽  
Faisal Elsheikh ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Oxygen Consumption ◽  
Dissolved Oxygen ◽  
Growth Period ◽  
Fish Growth ◽  
Fish Farms ◽  
Recirculating Aquaculture ◽  
Oxygen Generator ◽  
Oxygen Addition ◽  
The Individual

AbstractThe main aim of this research is to develop a mathematical model to predict the dissolved oxygen in recirculating aquaculture system. The oxygen consumption of the model through the fish respiration and nitrification and the oxygen addition of the model through oxygen generator and water pumping. The effect of different water temperatures (24, 26, 28, 30 and 32 °C) on the dissolved oxygen consumption through fish respiration, biofilter and nitrification and fish growth were studied. An experiment to measure oxygen consumed by fish respiration and biofilteration and fish growth with the growth period and to validate the model results was carried out. The oxygen consumption predicted by the model was in a good agreement with those measured by the system. The oxygen consumption by fish respiration ranged 12.04 to 47.53 g O2 m−3 h−1 experimentally, while it was from 12.01 to 46.06 g O2 m−3 h−1 theoretically. The predicted and measured oxygen consumption through biofilteration values ranged from 0.43 to 21.91 and 0.45 to 23.09 g O2 m−3 h−1, respectively. The individual fish weight from the system ranged from 3.00 to 209.52 g experimentally while it was from 3.00 to 226.25 g theoretically during the whole period.

scholarly journals MODELO MATEMÁTICO DEL ECOSISTEMA DE LA CIÉNAGA GRANDE DE SANTA MARTA

2016 ◽  
Vol 32 ◽  
Author(s):  
Yuri S. Tuchkovenko ◽  
Luis Alfredo Calero
Keyword(s):  
Mathematical Model ◽  
Organic Matter ◽  
Spatial Distribution ◽  
Dissolved Oxygen ◽  
Coastal Lagoon ◽  
Two Dimensional ◽  
Balance Equations ◽  
Dead Organic Matter ◽  
Shallow Reservoir ◽  
Nitrite Nitrate

The structure of the chemical – biological block of two-dimensional mathematical model of ecosystem and shallow reservoir and his methods of calibration is described in detail. The model includes the balance equations for the following components of ecosystem: phytoplankton, bacteria, zooplankton, dead (organic) matter, phosphate, ammonium, nitrite, nitrate and dissolved oxygen. Results of calculations of spatial distribution of several components of the ecosystem for the Ciénaga Grande de Santa Marta coastal lagoon (Colombia) in various seasons of year are given.

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