A New Empirical Equation for Limited Growth Functions

2021 ◽  
Vol 95 (11) ◽  
pp. 2355-2357
Author(s):  
T. S. Jakubov ◽  
E. S. Jakubov
Keyword(s):  
Empirical Equation ◽  
Limited Growth ◽  
Growth Functions

scholarly journals Stability Analysis of a Nonlinear System with Different Growth Functions

2018 ◽  
Vol 37 ◽  
pp. 111-119
Author(s):  
Md Kamrujjaman ◽  
Ashrafi Meher Niger
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Nonlinear System ◽  
Asymptotic Stability ◽  
Carrying Capacity ◽  
Competitive Exclusion ◽  
Logistic Growth ◽  
Limited Growth ◽  
Growth Functions

A competitive mathematical model for the growth of two species is considered in this study. The main goal of the present study is to investigate the roles of two different growth functions: the logistic growth and the food limited growth. We established the main results that determine the asymptotic stability of semi-trivial as well as the coexistence solutions. If higher carrying capacity is embodied for the population following logistic growth then competitive exclusion of a food limited population is imminent and vice versa.GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 111-119

Prediction of Palm Based Biodiesel Properties Through the Preparation of Empirical Equation

2019 ◽  
Vol 2 (1) ◽  
pp. 12-23
Author(s):  
Joelianingsih Joelianingsih ◽  
◽  
Marcelinus Christwardana ◽  
Is Sulistyati Purwaningsih ◽  
◽  
...  
Keyword(s):  
Empirical Equation ◽  
Biodiesel Properties

Laboratory Prediction of Phosphorus Release from Deciduous Leaves to Urban Runoff

1995 ◽  
Vol 30 (2) ◽  
pp. 243-246 ◽  
Author(s):  
Heather Culbert ◽  
Robert France
Keyword(s):  
Total Phosphorus ◽  
Empirical Equation ◽  
Urban Runoff ◽  
Phosphorus Release ◽  
Total Export ◽  
Forested Watershed ◽  
Distilled Water ◽  
Trembling Aspen ◽  
Urban Catchments

Abstract In urban centres, leaves are customarily gathered and temporarily stored in large roadside piles prior to their transport to disposal sites. To simulate the release of total phosphorus to urban runoff, birch and trembling aspen leaves were leached with distilled water in laboratory flasks. There was no difference in rate of total phosphorus release between oven-dried and non-dried leaves. An empirical equation developed from these data and knowledge of the litterfall rates for southern Canada indicated that leaves yielded from 11 to 45 mg TP m−2 of forested watershed. This amount represents up to 5% of the total export of total phosphorus from urban catchments and has the potential to exacerbate eutrophication of municipal waters if leaf pickup is not promptly enforced.

An equation for the empirical design of anoxic zones used to eliminate rising sludges at nitrifying activated sludge plants

1996 ◽  
Vol 33 (3) ◽  
pp. 185-194 ◽  
Author(s):  
M. Sarioglu ◽  
N. Horan
Keyword(s):  
Activated Sludge ◽  
Empirical Equation ◽  
Nitrate Nitrogen ◽  
Critical Concentration ◽  
Settling Tank ◽  
Limited Information ◽  
Batch Experiments ◽  
Anoxic Zone ◽  
Secondary Settling ◽  
Anoxic Zones

Anoxic zones are designed for the removal of nitrogen in nitrifying activated sludge plants. This can be carried out either to achieve a nitrogen discharge consent or to eliminate the problem of rising sludges. The rising sludge problem is mostly encountered in medium and small size plants in warm conditions and there is limited information as to the appropriate design of anoxic zones to protect against rising sludges in the secondary sedimentation tanks. Therefore a series of batch experiments were undertaken in order to establish the critical concentration of nitrate-nitrogen which causes rising sludge in the secondary settling tank and the effect of environmental factors such as temperature (15°C to 30°C) and residual carbon source (100 to 600 mg/1 COD) were examined. Based on the results of these experiments an empirical equation was presented which can be used to size an anoxic zone to eliminate rising sludges. The application of this equation at full-scale plants is discussed.

Competition between nitrogen-fixing cyanobacteria during phosphorus-limited growth

1995 ◽  
Vol 32 (4) ◽  
pp. 99-101 ◽  
Author(s):  
W. T. (Pim) De Nobel ◽  
N. Staats ◽  
L. R. Mur
Keyword(s):  
Light Intensity ◽  
Competitive Advantage ◽  
Future Study ◽  
Nitrogen Fixing ◽  
Limited Growth

The phosphorus-limited growth of cultures of the nitrogen-fixing cyanobacteria Aphanizomenon and Anabaena was investigated. In conditions of nutrient and light excess Anabaena has a competitive advantage. The lower the light intensity conditions at which Aphanizomenon populations dominate are indicated for future study.

Diffusion limited growth-up of channels of ICF and its influence on integral flow through the channel

2009 ◽  
Vol 45 (4) ◽  
pp. 613-621
Author(s):  
V. Frishfelds ◽  
◽  
A. Jakovičs ◽  
B. Nacke ◽  
E. Baake ◽  
...  
Keyword(s):  
Limited Growth ◽  
Diffusion Limited ◽  
Flow Through

Equation of state of a Lennard-Jones 12-6 pairwise additive fluid

1980 ◽  
Vol 45 (4) ◽  
pp. 977-983 ◽  
Author(s):  
Jan Sýs ◽  
Anatol Malijevský
Keyword(s):  
Equation Of State ◽  
Empirical Equation ◽  
The State ◽  
Critical Properties ◽  
Lennard Jones ◽  
State Behaviour ◽  
Compressibility Factors

An empirical equation of state was proposed, which is based on pseudoexperimental data on the state behaviour. The equation can be used at reduced temperatures from the range 0.7-100.0 and reduced densities up to 2. Calculated compressibility factors and critical properties agree well with available literature data.

Mass Transfer in Liquid in an Apparatus with Mobile Packing. Application of a Dispersion Model

1993 ◽  
Vol 58 (5) ◽  
pp. 1078-1086
Author(s):  
Zdeněk Palatý
Keyword(s):  
Experimental Data ◽  
Mass Transfer ◽  
Empirical Equation ◽  
Dispersion Model ◽  
Transfer Coefficients ◽  
Mass Transfer Coefficients

The paper deals with the mass transfer in a liquid on a plate with mobile packing. A procedure has been suggested which enables estimation of the mass transfer coefficients from experimental data considering the dispersion flow of the liquid. The results obtained from the desorption of CO2 from water are presented graphically and in the form of empirical equation.

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