Experimental Results on Matrix-Analytical Solution Techniques: Extensions and Comparisons*

2021 ◽  
pp. 659-661
Author(s):  
Levent Gün
Keyword(s):  
Analytical Solution ◽  
Experimental Results ◽  
Solution Techniques

Guidelines for Design of Dividing Manifolds With Discharge Uniformly Distributed at Different Positions Along the Device Axis

2019 ◽  
Vol 142 (2) ◽  
Author(s):  
Honggang Yang ◽  
Yi Wang ◽  
Xiaojing Meng ◽  
Dong Li ◽  
Xiaofan Cai
Keyword(s):  
Experimental Data ◽  
Analytical Solution ◽  
Governing Equation ◽  
Analytical Solutions ◽  
Dimensionless Parameter ◽  
Operating Conditions ◽  
Experimental Results ◽  
Practical Operation ◽  
Discharge Distribution

Abstract For practical operation of dividing manifolds, the discharge uniformity is a property generally required. To investigate the dependence of discharge uniformity on the manifold geometry and operating conditions, analytical solution to the governing equation, Bajura's equation, was secured. Furthermore, examples were derived by substituting experimental data into the analytical solutions; the resultant curves of discharge distribution indicated essential agreement between the theoretical and experimental results. For evaluating the property of discharge distribution, a uniformity index, U, was introduced. The calculated results of U showed a well-defined dependence of uniformity on the dimensionless parameter, γ, and a maximum of U presented around 1.44 of γ.

An Experimental Investigation of the Temperature Field Produced by a Cryosurgical Cannula

1974 ◽  
Vol 96 (3) ◽  
pp. 415-420 ◽  
Author(s):  
T. E. Cooper ◽  
W. K. Petrovic
Keyword(s):  
Experimental Investigation ◽  
Temperature Field ◽  
Liquid Crystals ◽  
Analytical Solution ◽  
Growth Rates ◽  
Experimental Results ◽  
Experimental Uncertainty ◽  
One Dimensional ◽  
Ice Growth

Liquid crystals, a material that exhibits brilliant changes in color over narrow temperature bands, have been successfully used to study the temperature field that is produced by a cryosurgical cannula (cryoprobe). Cryoprobe tip temperatures ranging from −36 to −117 C were used to produce frozen regions in a clear gel. Experimental results compare within experimental uncertainty with results of a one-dimensional analytical solution for predicting ice growth rates.

scholarly journals Solutions without Space-Time Separation for ADS Experiments: Overview on Developments and Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
B. Merk ◽  
V. Glivici-Cotruţă
Keyword(s):  
Analytical Solution ◽  
Analytical Solutions ◽  
Space Time ◽  
Experimental Results ◽  
Time Dependent ◽  
Special Configuration ◽  
Time Separation ◽  
Function Solution ◽  
Boundary Source ◽  
Good Agreement

The different analytical solutions without space-time separation foreseen for the analysis of ADS experiments are described. The SC3A experiment in the YALINA-Booster facility is described and investigated. For this investigation the very special configuration of YALINA-Booster is analyzed based on HELIOS calculations. The results for the time dependent diffusion and the time dependentP1equation are compared with the experimental results for the SC3A configuration. A comparison is given for the deviation between the analytical solution and the experimental results versus the different transport approximations. To improve the representation to the special configuration of YALINA- Booster, a new analytical solution for two energy groups with two sources (central external and boundary source) has been developed starting form the Green's function solution. Very good agreement has been found for these improved analytical solutions.

scholarly journals Возбуждение и регистрация нелинейного резонанса колебаний пружинного маятника с использованием электромагнитной индукции

2020 ◽  
Vol 90 (1) ◽  
pp. 5
Author(s):  
И.С. Зейликович ◽  
А.В. Никитин ◽  
А.Е. Василевич
Keyword(s):  
Numerical Simulation ◽  
Theoretical Model ◽  
Analytical Solution ◽  
Electromagnetic Induction ◽  
Nonlinear Oscillations ◽  
Nonlinear Effects ◽  
Oscillatory System ◽  
Experimental Results ◽  
Induction Method ◽  
Simulation Results

The nonlinear oscillations and resonances of the spring pendulum are experimentally and theoretically investigated. A unified by electromagnetic induction method of excitation, dissipation and registration of nonlinear oscillations is proposed. Experimental results demonstrate typical nonlinear effects, such as nonisochronism and bistability of vibrations. A theoretical model of the oscillatory system, leading to the Duffing equation, is proposed, an analytical solution and numerical simulation results are given, which agree well with the experiment.

Moving Boundary-Moving Mesh Analysis of Freezing Process in Water-Saturated Porous Media Using a Combined Transfinite Interpolation and PDE Mapping Methods

2008 ◽  
Vol 130 (1) ◽  
Author(s):  
P. Rattanadecho ◽  
S. Wongwises
Keyword(s):  
Porous Media ◽  
Analytical Solution ◽  
Moving Boundary ◽  
Grid Generation ◽  
Experimental Results ◽  
Freezing Process ◽  
Saturated Porous Media ◽  
Two Dimensional ◽  
Transfinite Interpolation ◽  
Water Saturated

This paper couples the grid generation algorithm with the heat transport equations and applies them to simulate the thermal behavior of freezing process in water-saturated porous media. Focus is placed on establishing a computationally efficient approach for solving moving boundary heat transfer problem, in two-dimensional structured grids, with specific application to an undirectional solidification problem. Preliminary grids are first generated by an algebraic method, based on a transfinite interpolation method, with subsequent refinement using a partial differential equation (PDE) mapping (parabolic grid generation) method. A preliminary case study indicates successful implementation of the numerical procedure. A two-dimensional solidification model is then validated against available analytical solution and experimental results and subsequently used as a tool for efficient computational prototyping. The results of the problem are in good agreement with available analytical solution and experimental results.

scholarly journals Smoluchowski equations for linker-mediated irreversible aggregation

Soft Matter ◽  
2020 ◽  
Vol 16 (32) ◽  
pp. 7513-7523
Author(s):  
J. M. Tavares ◽  
G. C. Antunes ◽  
C. S. Dias ◽  
M. M. Telo da Gama ◽  
N. A. M. Araújo
Keyword(s):  
Analytical Solution ◽  
Time Evolution ◽  
Computer Simulations ◽  
Smoluchowski Equation ◽  
Experimental Results ◽  
Smoluchowski Equations ◽  
Irreversible Aggregation

An analytical solution of a generalized Smoluchowski equation for linker-mediated aggregation, validated by computer simulations, describes experimental results for the time evolution of clustering.

Development of a Periodic Flow in a Rigid Tube

1968 ◽  
Vol 90 (3) ◽  
pp. 395-399 ◽  
Author(s):  
P. J. Florio ◽  
W. K. Mueller
Keyword(s):  
Velocity Field ◽  
Analytical Solution ◽  
Axial Velocity ◽  
Circular Tube ◽  
Approximate Analytical Solution ◽  
Experimental Results ◽  
Oscillating Flow ◽  
Periodic Flow ◽  
Mean Flow ◽  
Rigid Tube

The development of a pulsating velocity field in a rigid, circular tube was experimentally investigated. The wall pressure and the radial variation of the axial velocity were measured at several axial locations. The measured inlet velocities were compared with the fully developed velocities. The experimental results show that, for the range of parameters investigated, the developing pulsating flow can be considered to be simply a superposition of a developing mean flow and a fully developed oscillating flow. These results are in agreement with a previous approximate analytical solution by Atabek and Chang.

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