Assessment of a mathematical model to predict spray deposition under laboratory track spraying conditions. II: Examination with further plant species and diluted formulations

1993 ◽  
Vol 37 (2) ◽  
pp. 133-140 ◽  
Author(s):  
B. Terence Grayson ◽  
Simon E. Pack ◽  
Dean Edwards ◽  
James D. Webb
Keyword(s):  
Mathematical Model ◽  
Plant Species ◽  
Spray Deposition

Development and assessment of a mathematical model to predict foliar spray deposition under laboratory track spraying conditions

1991 ◽  
Vol 33 (3) ◽  
pp. 281-304 ◽  
Author(s):  
B. Terence Grayson ◽  
James D. Webb ◽  
Simon E. Pack ◽  
Dean Edwards
Keyword(s):  
Mathematical Model ◽  
Spray Deposition ◽  
Foliar Spray

Mathematical Model of In-Flight Oxidation of Metallic Particles in Thermal Spraying

2000 ◽  
Author(s):  
A.M. Ahmed ◽  
R.H. Rangel ◽  
V.V. Sobolev ◽  
J.M. Guilemany
Keyword(s):  
Mathematical Model ◽  
Thermal Behavior ◽  
Spray Deposition ◽  
Particle Surface ◽  
Thermal Spraying ◽  
Deposition Process ◽  
Conservation Equation ◽  
Spherical Particles ◽  
Energy Conservation Equation ◽  
Acceleration And Deceleration

Abstract This paper presents a mathematical model of the in-flight oxidation of spherical particles during thermal spray deposition process. The model includes analysis of the mechanical and thermal behavior of the powder particles. The former accounts for acceleration and deceleration of the particles at the spray distance under different fluid velocities. The thermal behavior takes into account heating, melting, cooling and possible solidification as the particle travel towards the substrate. A finite-difference method is used to solve the thermal energy conservation equation of the particles. The model includes nonequilibrium calculations of the phase change phenomena in the liquid-solid (mushy) zone. The growth of the oxide layer at the particle surface is represented by a modified boundary condition, which includes finite-rate oxidation. The results obtained give the interrelations between various process parameters and the oxidation phenomenon and agree with experimental observation.

scholarly journals Discovery of the spatial pattern of prickles on the stem of the rose and the mathematical model of the pattern

2019 ◽  
Author(s):  
Kazuaki Amikura ◽  
Hiroshi Ito
Keyword(s):  
Mathematical Model ◽  
Spatial Pattern ◽  
Plant Species ◽  
Statistical Data ◽  
Model Parameters ◽  
Developmental Patterns ◽  
The Mathematical Model ◽  
The Rose

Reproducible pattern is a key characteristic of organisms. Many developmental patterns are known that it is orchestrated by diffusion of the factors. Herein, we reported a novel patterning that seems to be controlled by diffusion factors. Although it looks like the prickles randomly emerge on the stem of rose, we deciphered patterns for the position of prickles with statistical data and proposed a mathematical model to explain the process via which the pattern emerged. By changing the model parameters, we reproduce another pattern on other plant species. This finding indicates that the patterns between many species are organized by similar systems. Moreover, although the pattern of organisms is often linked to its function, we consider the spatial pattern of prickles may have a function to play the role of prickles effectively. Further studies will clarify the role of prickles and reveal the entity of diffusive factors.

Novel fuzzy linguistic based mathematical model to assess risk of invasive alien plant species

2017 ◽  
Vol 59 ◽  
pp. 326-339 ◽  
Author(s):  
H.O.W. Peiris ◽  
S. Chakraverty ◽  
S.S.N. Perera ◽  
S.M.W. Ranwala
Keyword(s):  
Mathematical Model ◽  
Plant Species ◽  
Alien Plant Species ◽  
Alien Plant ◽  
Invasive Alien Plant ◽  
Fuzzy Linguistic

scholarly journals Discovery of spatial pattern of prickles on stem of Rosa hybrida ‘Red Queen’ and mathematical model of the pattern

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Kazuaki Amikura ◽  
Hiroshi Ito ◽  
Miho S. Kitazawa
Keyword(s):  
Mathematical Model ◽  
Spatial Pattern ◽  
Plant Species ◽  
Spatial Patterns ◽  
Comprehensive Analysis ◽  
Leaf Primordia ◽  
Rosa Hybrida ◽  
Model Parameters ◽  
Red Queen ◽  
Developmental Patterns

AbstractThe developmental patterns of many organisms are orchestrated by the diffusion of factors. Here, we report a novel pattern on plant stems that appears to be controlled by inhibitor diffusion. Prickles on rose stems appear to be randomly distributed, but we deciphered spatial patterns of prickles on Rosa hybrida cv. ‘Red Queen’ stem. The prickles primarily emerged at 90 to 135 degrees from the spiral phyllotaxis that connected leaf primordia. We proposed a simple mathematical model that explained the emergence of the spatial patterns and reproduced the prickle density distribution on rose stems. We confirmed the model can reproduce the observed prickle patterning on stems of other plant species using other model parameters. These results indicated that the spatial patterns of prickles on stems of different plant species are organized by similar systems. Rose cultivation by humans has a long history. However, prickle development is still unclear and this is the first report of prickle spatial pattern with a mathematical model. Comprehensive analysis of the spatial pattern, genome, and metabolomics of other plant species may lead to novel insights for prickle development.

Mathematical Modeling for the Absorption Capacity of Heavy Metals from the Soil in the Case of Phragmites Australis Plant Species

2019 ◽  
Vol 70 (7) ◽  
pp. 2545-2551
Author(s):  
Alexandra Dana Chitimus ◽  
Valentin Nedeff ◽  
Ion Sandu ◽  
Cristian Radu ◽  
Emilian Mosnegutu ◽  
...  
Keyword(s):  
Heavy Metals ◽  
Mathematical Model ◽  
Plant Species ◽  
Phragmites Australis ◽  
Mathematic Model ◽  
Absorption Capacity ◽  
Plant Samples ◽  
The Mathematical Model ◽  
Very High ◽  
High Absorption

This paper proposes a tridimensional mathematical model of the absorption capacity of heavy metals (cadmium and nickel) from the soil in the case of Phragmites Australis plant species (the soil and plant samples was taken from six locations/areas along the Bistri�a and Crac�u Rivers, belonging to the Siret hydrographic basin). The variable measures taken into consideration when carrying out the experiments and realizing the mathematical model are the distance from the water-soil interface from which the plant samples were taken and the concentration of the heavy metals in the soil. The mathematical model was elaborated and tested by means of the TableCurve 3D program used for generating linear and non-linear equations. A very high absorption capacity of cadmium from the soil was recorded A very high absorption capacity of cadmium from the soil was recorded, in the case of Phragmites Australis plant species (190�234 % higher than in the soil). The correlation coefficient of the mathematic model was between 0.90 and 0.98.

A mathematical model of the spray deposition process

1989 ◽  
Vol 20 (1) ◽  
pp. 71-85 ◽  
Author(s):  
E. Gutierrez-Miravete ◽  
E. J. Lavernia ◽  
G. M. Trapaga ◽  
J. Szekely ◽  
N. J. Grant
Keyword(s):  
Mathematical Model ◽  
Spray Deposition ◽  
Deposition Process

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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