Mathematical simulation on accumulation process of a blooming plankton Peridinium bipes (Dinophyceae) in a dam reservoir

2001 ◽  
Vol 1 (2) ◽  
pp. 37-48 ◽  
Author(s):  
N. Kishimoto ◽  
I. Somiya ◽  
Y. Ohnishi ◽  
T. Nakamura
Keyword(s):  
Mathematical Model ◽  
Numerical Analysis ◽  
Surface Water ◽  
Mathematical Simulation ◽  
Vertical Migration ◽  
Flow Model ◽  
Accumulation Process ◽  
Dam Reservoir ◽  
One Dimensional ◽  
Layered Flow

The accumulation process of the blooming plankton Peridinium bipes was studied in this paper using a mathematical model based on a horizontal one-dimensional multi-layered flow model coupled with a vertical migration model of the Peridinium bipes community. The estimated accumulation process consisted of three processes: upward swimming and dispersion of Peridinium bipes cells, advection of the cells with the countercurrent of surface water, and entrainment and effluent of the cells with the plunging flow of inflow river water. The numerical analysis has revealed that the accumulation process helps Peridinium bipes to avoid hydraulic washout and it contributes to a contributes to a concentration of Peridinium bipes cells on the upper side of the reservoir.

scholarly journals Mathematical simulation of forest fire front influence on wood-based building using one-dimensional model of heat transfer

2020 ◽  
Vol 200 ◽  
pp. 03007
Author(s):  
Nikolay V Baranovskiy ◽  
Aleksey Malinin
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Heat Conduction ◽  
Mathematical Simulation ◽  
Forest Fire ◽  
Dimensional Model ◽  
One Dimensional ◽  
Building Enclosures ◽  
Fire Front ◽  
Fire Impact

The purpose of the present paper is to mathematical simulation of heat transfer in enclosures of wood-based building when exposed to thermal radiation from forest fire front. One-dimensional mathematical model is used. Mathematically, heat transfer in building enclosures is described by system of non-stationary equations of heat conduction with corresponding initial and boundary conditions. It is suggested to use several scenarios of forest fire impact. Temperature distribution on wall depth is obtained for different scenarios of forest fire impact on building enclosures.

scholarly journals On the one-dimensional nonlinear elastohydrodynamic lubrication

1994 ◽  
Vol 50 (3) ◽  
pp. 353-372 ◽  
Author(s):  
Daniel Goeleven ◽  
Van Hien Nguyen
Keyword(s):  
Mathematical Model ◽  
Variational Inequality ◽  
Numerical Analysis ◽  
Elastohydrodynamic Lubrication ◽  
Existence Of A Solution ◽  
One Dimensional ◽  
Abstract Theorem ◽  
The One ◽  
The Mathematical Model ◽  
Lubricant Viscosity

In this paper the authors prove an abstract theorem for solutions of a variational inequality on a cone and use it to study the free boundary problem of elastohydrodynamic lubrication from mechanical engineering. The mathematical model is set in a one-dimensional geometry. The existence of a solution for every non-negative lubricant viscosity is proved, and some properties useful for the numerical analysis are obtained.

A ONE-DIMENSIONAL TWO-PHASE FLOW MODEL AND EXPERIMENTAL VALIDATION FOR A FLASHING VISCOUS LIQUID IN A SPLASH PLATE NOZZLE

2015 ◽  
Vol 25 (9) ◽  
pp. 795-817 ◽  
Author(s):  
Mika P. Jarvinen ◽  
A. E. P. Kankkunen ◽  
R. Virtanen ◽  
P. H. Miikkulainen ◽  
V. P. Heikkila
Keyword(s):  
Viscous Liquid ◽  
Experimental Validation ◽  
Flow Model ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

scholarly journals Theoretical and numerical analysis of novel COVID-19 via fractional order mathematical model

2021 ◽  
Vol 20 ◽  
pp. 103676
Author(s):  
Amjad Ali ◽  
Muhammad Yasin Khan ◽  
Muhammad Sinan ◽  
F.M. Allehiany ◽  
Emad E. Mahmoud ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Numerical Analysis ◽  
Fractional Order ◽  
Theoretical And Numerical Analysis

The Numerical Analysis of the Velocity and Pressure Distribution of the Oil Film in Heavy Hydrostatic Thrust Bearing

2014 ◽  
Vol 541-542 ◽  
pp. 658-662
Author(s):  
Jian Li ◽  
Yuan Chen ◽  
Yang Chun Yu ◽  
Zhu Xin Tian ◽  
Yu Huang
Keyword(s):  
Mathematical Model ◽  
Numerical Analysis ◽  
Pressure Distribution ◽  
Working Conditions ◽  
Thrust Bearing ◽  
Rotation Speed ◽  
The Other ◽  
Surface Load ◽  
Oil Film ◽  
Volume Method

To study the velocity and pressure distribution of the oil film in a heavy hydrostatic thrust bearing, a mathematical model of the velocity is proposed and the finite volume method (FVM) has been used to simulate the flow field under different working conditions. Some pressure experiments were carried out and the results verified the correctness of the simulation. It is concluded that the pressure distribution varies small under different rotation speed when the surface load on the workbench is constant. But the velocity of the oil film is influenced greatly by the rotation speed. When the rotation speed of the workbench is as quick as enough, the velocity of the oil film on one radial side of the pad will be zero, that is to say the lubrication oil will be drained from the other three sides of the recess.

Sign in / Sign up

Export Citation Format

Share Document