A Mathematical Model for Response of the Coronary Circulation to High Sustained Gravitational Force Fields

1989 ◽  
pp. 284-304
Author(s):  
Sophia Huai Zhou ◽  
Emilia Mateeva ◽  
Richard Collins
Keyword(s):  
Mathematical Model ◽  
Gravitational Force ◽  
Coronary Circulation ◽  
Force Fields

Numerical Simulation of the Coffee-ring Effect Inside Containers with Time-dependent Evaporation Rate

2021 ◽  
Author(s):  
Hyundong Kim ◽  
Junxiang Yang ◽  
Sangkwon Kim ◽  
Chaeyoung Lee ◽  
Sungha Yoon ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Numerical Experiments ◽  
Evaporation Rate ◽  
Gravitational Force ◽  
Time Dependent ◽  
Coffee Ring ◽  
Proposed Model ◽  
Coffee Ring Effect ◽  
Ring Effect

Abstract In this work, using a mathematical model and numerical simulation, we investigate the effect of time-dependent evaporation rates on stripe formation inside containers, which is driven by the coffee-ring effect. The coffee particles inside a container move according to random walk and under the gravitational force. Because of the non-uniform evaporation rate, we can observe stripe formation inside a container filled with liquid carrying coffee particles. We perform various numerical experiments to demonstrate the proposed model can simulate the stripe formation in a container.

scholarly journals Operationally Complete Work Done Suggests Presence of Extra Potentials Corresponding to Repulsive Forces

2014 ◽  
Vol 37 ◽  
pp. 16-30
Author(s):  
Jakub Czajko
Keyword(s):  
Potential Energy ◽  
Force Field ◽  
Gravitational Force ◽  
Force Fields ◽  
Attractive Force ◽  
Mass Source ◽  
Complete Representation ◽  
Complete Work ◽  
Repulsive Forces ◽  
Work Done

Operationally complete representation of work done and the corresponding to it potential energy within the usual radial/center-bound, nonrotating gravitational force fields comprises two extra terms: linear nonradial and angular nonradial, in addition to the usual radial term. Since these nonradial terms have negative signs, they suggest presence of potentials corresponding to repulsive forces generated by the very same, usual radial attractive force field. The extra linear nonradial term depends on exposure of an orbiting satellite to the distribution of mass within the field, whereas the extra angular nonradial term also depends on that as well as on exposure of the satellite to density of matter of the mass source that generates the usual, locally dominant radial/center-bound attractive gravitational force field.

Use of the Magnetostatic Analogue In Electromagnetic Lens Engineering

1970 ◽  
Vol 28 ◽  
pp. 360-361
Author(s):  
John W. Coleman
Keyword(s):  
Boundary Conditions ◽  
High Performance ◽  
Force Fields ◽  
Optical Design ◽  
Direct Conversion ◽  
Design Engineering ◽  
Design Data ◽  
Scalar Potentials ◽  
Geometric Elements ◽  
At Will

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.

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