Testing Analytical Models Using Archival or Experimental Methods

2012 ◽  
Vol 27 (1) ◽  
pp. 129-139 ◽  
Author(s):  
Shane S. Dikolli ◽  
John H. Evans ◽  
Jeffrey Hales ◽  
Michal Matejka ◽  
Donald V. Moser ◽  
...  
Keyword(s):  
Experimental Data ◽  
Empirical Research ◽  
Analytical Model ◽  
Empirical Data ◽  
Review Process ◽  
Experimental Methods ◽  
Analytical Models ◽  
Journal Review ◽  
Advantages And Disadvantages ◽  
Jel Classifications

SYNOPSIS Analytical models can quite naturally complement empirical data, whether archival or experimental. This article begins by discussing the advantages and disadvantages of combining an analytical model with archival or experimental data in a single study. We next describe how models are typically used in empirical research and discuss when including an analytical model is more versus less useful. Finally, we offer examples of more and less successful combinations of analytical models and empirical data, along with a brief discussion of how such studies are likely to fare in the journal review process. JEL Classifications: C02; C51; C99.

scholarly journals Approximate Analytical Models of Shock-Wave Structure at Steady Mach Reflection

Fluids ◽  
2021 ◽  
Vol 6 (9) ◽  
pp. 305
Author(s):  
Mikhail V. Chernyshov ◽  
Karina E. Savelova ◽  
Anna S. Kapralova
Keyword(s):  
Experimental Data ◽  
Shock Wave ◽  
Comparative Analysis ◽  
Analytical Model ◽  
Mach Reflection ◽  
Supersonic Jet ◽  
Wave Structure ◽  
Analytical Models ◽  
Analytical Prediction ◽  
Shock Wave Structure

In this study, we obtain the comparative analysis of methods of quick approximate analytical prediction of Mach shock height in planar steady supersonic flows (for example, in supersonic jet flow and in narrowing channel between two wedges), that are developed since the 1980s and being actively modernized now. A new analytical model based on flow averaging downstream curved Mach shock is proposed, which seems more accurate than preceding models, comparing with numerical and experimental data.

Relationship Between Improved Inverse Eigensensitivity and FRF Sensitivity Methods for Analytical Model Updating

1997 ◽  
Vol 119 (3) ◽  
pp. 354-362 ◽  
Author(s):  
R. M. Lin ◽  
M. K. Lim
Keyword(s):  
Analytical Model ◽  
Model Updating ◽  
Analytical Models ◽  
Practical Application ◽  
Solution Uniqueness ◽  
Mathematical Relationship ◽  
Practical Applications ◽  
Advantages And Disadvantages ◽  
Model Improvement ◽  
Sensitivity Method

Improved inverse eigensensitivity method and improved frequency response function (FRF) sensitivity method developed for analytical model updating have become increasingly popular among other methods and have been successfully applied to the practice of analytical model improvement. This paper examines the mathematical relationship between these two powerful methods for updating analytical models of undamped systems with objectives of demonstrating the advantages and disadvantages of each method as well as their specific practical application conditions. The problem of solution uniqueness associated with these methods is addressed. Computational considerations regarding the practical application of the methods are discussed. Numerical simulations are given to demonstrate the practical applications of these methods.

scholarly journals Generalized Peukert Equations Use for Finding the Remaining Capacity of Lithium-Ion Cells of Any Format

Energies ◽  
2021 ◽  
Vol 14 (16) ◽  
pp. 5009
Author(s):  
Nataliya N. Yazvinskaya ◽  
Nikolay E. Galushkin ◽  
Dmitry V. Ruslyakov ◽  
Dmitriy N. Galushkin
Keyword(s):  
Experimental Data ◽  
Lithium Ion Batteries ◽  
Entire Range ◽  
Lithium Ion ◽  
High Accuracy ◽  
Analytical Models ◽  
Advantages And Disadvantages ◽  
Electrochemical Systems ◽  
Lithium Ion Cells ◽  
Remaining Capacity

In many studies, for predicting the remaining capacity of batteries belonging to different electrochemical systems, various analytical models based on the Peukert equation are used. This paper evaluates the advantages and disadvantages of the most famous generalized Peukert equations. For lithium-ion batteries, the Peukert equation cannot be used for estimation of their remaining capacity over the entire range of discharge currents. However, this paper proves that the generalized Peukert equations enable estimation of the capacity released by lithium-ion batteries with high accuracy. Special attention is paid to two generalized Peukert equations: C = Cm/(1 + (i/i0)n) and C = Cmerfc((i-i0)/n))/erfc(-i0/n). It is shown that they correspond to the experimental data the best.

scholarly journals A Novel Analytical Model of Solute Transport in an Aquifer-Aquitard System with Mixing Processes in the Reservoirs

2022 ◽  
Author(s):  
Wenguang Shi ◽  
Wang Quanrong
Keyword(s):  
Experimental Data ◽  
Solute Transport ◽  
Analytical Model ◽  
Poor Performance ◽  
Controlled Experiment ◽  
Analytical Models ◽  
Observation Data ◽  
The Novel ◽  
Mixing Processes ◽  
Concentration Variation

Abstract Analytical models have been widely used to aid understanding the physical and chemical processes of tracer (or chemicals) in an aquifer-aquitard system in the laboratory-controlled experiment, when the observation data is few or not available during the experiment. When injecting tracer into (or extracting them from) the aquifer-aquitard system during experiments, the pre-inlet and after-outlet reservoirs are indispensable. However, the concentration variation in the reservoirs was not treated properly in previous analytical models, resulting in poor performance in interpreting experimental data. In this study, new mathematical models describing the concentration variation in the pre-inlet and the after-outlet reservoirs are proposed, and they are integrated into the novel analytical model. The novel analytical model is developed under the mobile-immobile (MIM) framework in the aquifer-aquitard system, considering the longitudinal and vertical dispersion, the advection, and the first-order chemical reaction in both aquifer and aquitard. A finite-difference solution is developed and the experimental data are employed to test the new analytical model. Results indicate that the concentration variation in the reservoirs is important to solute transport in the aquifer-aquitard system in the laboratory-controlled experiment, and the new analytical model outperforms the previous models in interpreting experimental data. The global sensitivity analysis demonstrates that the output concentration of solute transport in the aquifer-aquitard system is most sensitive to the volume of water in the pre-inlet reservoir. The contribution of the diffusion effect to the total mass flux of tracer crossing the aquifer-aquitard interface is much smaller than the contribution of the dispersive and advective effects.

scholarly journals Development of an information and analytical model of soils based on X-ray fluorescence analysis

2021 ◽  
Vol 282 ◽  
pp. 07016
Author(s):  
E.M. Basarygina ◽  
N.A. Pakhomova ◽  
O.E. Akulich
Keyword(s):  
Experimental Data ◽  
Trace Elements ◽  
Analytical Model ◽  
Chemical Elements ◽  
Fluorescence Analysis ◽  
Analytical Models ◽  
Soil Reclamation ◽  
X Ray ◽  
Fallow Lands ◽  
Chelyabinsk Region

The purpose of the research was to build information and analytical models of the soil based on the data of energy-dispersive X-ray fluorescence analysis. For the soil of the Chelyabinsk region, on the basis of experimental data, information and analytical models are constructed, showing a complete list of chemical elements and trace elements, the content of which exceeds the permissible concentration. These models, which clearly reflect the content of micro-and macronutrients in the soil, are recommended for use in the development of measures for soil reclamation and the involvement of fallow lands in agricultural turnover.

Analytical Modelling of I-V Characteristics for 4H-SiC Enhancement Mode VJFET

2006 ◽  
Vol 527-529 ◽  
pp. 1195-1198
Author(s):  
Praneet Bhatnagar ◽  
Alton B. Horsfall ◽  
Nicolas G. Wright ◽  
C. Mark Johnson ◽  
Konstantin Vassilevski ◽  
...  
Keyword(s):  
Experimental Data ◽  
Finite Element ◽  
Analytical Model ◽  
Computational Efficiency ◽  
Analytical Models ◽  
Analysis Tool ◽  
Power Devices ◽  
Enhancement Mode ◽  
High Computational Efficiency ◽  
Single Set

Physics-based analytical models are seen as an efficient way of predicting the characteristics of power devices since they can achieve high computational efficiency and may be easily calibrated using parameters obtained from experimental data. This paper presents an analytical model for a 4H-SiC Enhancement Mode Vertical JFET (VJFET), based on the physics of this device. The on-state and blocking behaviour of VJFETs with finger widths ranging from 1.6+m to 2.2+m are studied and compared with the results of finite element simulations. It is shown that the analytical model is capable of accurately predicting both the on-state and blocking characteristics from a single set of parameters, underlining its utility as a device design and circuit analysis tool.

scholarly journals Modelling Early Age Shrinkage of Concrete

2019 ◽  
Vol 8 (2) ◽  
pp. 3530-3540
Keyword(s):  
Experimental Data ◽  
Comparative Study ◽  
Analytical Model ◽  
Probabilistic Analysis ◽  
Autogenous Shrinkage ◽  
Analytical Models ◽  
Early Age ◽  
Review Of Literature ◽  
Cement Ratio ◽  
Concrete Mixtures

During past decades the concrete has been developed by low water-cement ratio, addition of superplasticizer etc to improve the properties and lifetime of a structure. Despite of the imporved properties it introduces the shrinkage which leads to cracks and reduces serviceability and durability of structure or material. Therefore the study of shrinkage becomes a challenge. In this study, the autogenous shrinkage of concrete mixtures at early age is modelled using analytical models for different water-cement ratios for different ages. The main objectives of the study are review of literature on autogenous shrinkage of concrete, comparative study of different models for autogenous shrinkage of concrete using experimental data available in literature, Identification/development of an analytical model for prediction of autogenous shrinkage of concrete, and probabilistic analysis of the autogenous shrinkage are discussed

Can fake news really change behaviour? Evidence from a study of COVID-19 misinformation.

2020 ◽  
Author(s):  
Ciara Greene ◽  
Gillian Murphy
Keyword(s):  
Empirical Research ◽  
Health Behaviour ◽  
Real World ◽  
Empirical Data ◽  
Contact Tracing ◽  
Fake News ◽  
Behavioural Intentions ◽  
The Real ◽  
News Stories

Previous research has argued that fake news may have grave consequences for health behaviour, but surprisingly, no empirical data have been provided to support this assumption. This issue takes on new urgency in the context of the coronavirus pandemic. In this large preregistered study (N = 3746) we investigated the effect of exposure to fabricated news stories about COVID-19 on related behavioural intentions. We observed small but measurable effects on some related behavioural intentions but not others – for example, participants who read a story about problems with a forthcoming contact-tracing app reported reduced willingness to download the app. We found no effects of providing a general warning about the dangers of online misinformation on response to the fake stories, regardless of the framing of the warning in positive or negative terms. We conclude with a call for more empirical research on the real-world consequences of fake news.

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