Improved pivot–slide model of the motion of a curling rock

2019 ◽  
Vol 97 (12) ◽  
pp. 1301-1308 ◽  
Author(s):  
Gaëtan Mancini ◽  
Laurent de Schoulepnikoff
Keyword(s):  
Experimental Data ◽  
Initial Velocity ◽  
Confidence Limits ◽  
Refined Model ◽  
Experiment Data ◽  
Precise Experiment ◽  
Two Parameters

The pivot–slide model (Shegelski and Lozowski) successfully predicts the slide and curl distances of a curling rock. However, in this model, there is no dependence of the curl distance on the initial velocity, because the ratio between the pivot to sliding times is constant. A refined model is presented, in which the ratio of the pivot to sliding times depends on the stone velocity via two parameters. Confidence limits for these parameters are deduced from experimental data, which show that the pivot–slide ratio depends on the stone velocity. However, precise values of these parameters could not be obtained with this study, as more precise experiment data are needed. The refined model allows one to qualitatively explain two characteristics of the stone trajectory observed in a curling game, namely the bigger final curl with lower initial velocity and the lower curl with the effect of sweeping the ice.

scholarly journals Non-parametric fitting of nonlinear equations to experi- mental data without use of initial guessing: a basic computer program

2000 ◽  
Vol 43 (1) ◽  
Author(s):  
Emmanuel M. Papamichael ◽  
Nickolaos P. Evmiridis ◽  
Constaninos Potosis
Keyword(s):  
Experimental Data ◽  
Computer Program ◽  
Nonlinear Equations ◽  
Parametric Method ◽  
Parameter Estimates ◽  
Confidence Limits ◽  
Previous Knowledge ◽  
Two Parameters ◽  
Parametric Fitting ◽  
Non Parametric

In this work, we present a non-parametric method, and the appropriate computer program, for fitting nonlinear multiparametric equations to experimental data. Our method is followed by computation of confidence limits of the parameter estimates. Its performance has been tested on several multiparametric equations, common in the fields of Biochemistry and Biotechnology, and it is a multiparametric expansion of the concept proposed by others for equations having more than two parameters. Good parameter estimates were obtained without a previous knowledge of initial parameter guessing values, and the proposed computer program converges rapidly, in all cases examined within this work.

Convective Losses From Cavity Solar Receivers—Comparisons Between Analytical Predictions and Experimental Results

1983 ◽  
Vol 105 (1) ◽  
pp. 29-33 ◽  
Author(s):  
A. M. Clausing
Keyword(s):  
Experimental Data ◽  
Experimental Evidence ◽  
Analytical Model ◽  
Excellent Agreement ◽  
Experimental Results ◽  
Simple Analytical Model ◽  
Refined Model ◽  
Wall Area

Cavity solar receivers are generally believed to have higher thermal efficiencies than external receivers due to reduced losses. A simple analytical model was presented by the author which indicated that the ability to heat the air inside the cavity often controls the convective loss from cavity receivers. Thus, if the receiver contains a large amount of inactive hot wall area, it can experience a large convective loss. Excellent experimental data from a variety of cavity configurations and orientations have recently become available. These data provided a means of testing and refining the analytical model. In this manuscript, a brief description of the refined model is presented. Emphasis is placed on using available experimental evidence to substantiate the hypothesized mechanisms and assumptions. Detailed comparisons are given between analytical predictions and experimental results. Excellent agreement is obtained, and the important mechanisms are more clearly delineated.

scholarly journals DBE2 – Management of experimental data for the VANTED system

2011 ◽  
Vol 8 (2) ◽  
pp. 85-94
Author(s):  
Hendrik Mehlhorn ◽  
Falk Schreiber
Keyword(s):  
Experimental Data ◽  
Information System ◽  
Data Integration ◽  
Data Management ◽  
Data Storage ◽  
Controlled Vocabulary ◽  
Biological Experiment ◽  
Experiment Data ◽  
Measurement Units ◽  
Persistent Data

Summary DBE2 is an information system for the management of biological experiment data from different data domains in a unified and simple way. It provides persistent data storage, worldwide accessibility of the data and the opportunity to load, save, modify, and annotate the data. It is seamlessly integrated in the VANTED system as an add-on, thereby extending the VANTED platform towards data management. DBE2 also utilizes controlled vocabulary from the Ontology Lookup Service to allow the management of terms such as substance names, species names, and measurement units, aiming at an eased data integration.

Research Regarding the Effects of 120 mm HE Mortar Bombs on Advanced Materials

2021 ◽  
Vol 42 ◽  
pp. 128-134
Author(s):  
Daniela Pintilie ◽  
Iuliana Florina Pană ◽  
Adrian Malciu ◽  
Constantin Puică ◽  
Cristina Pupăză
Keyword(s):  
Experimental Data ◽  
Numerical Model ◽  
Initial Velocity ◽  
High Explosive ◽  
Numerical Approach ◽  
Advanced Materials ◽  
Physical Mechanisms ◽  
Shock Wave Generation ◽  
3D Numerical Model ◽  
Experimental Trials

High Explosive Mortar bombs are used on the battlefield for destroying the manpower, non-armoured equipment and shelters. The paper describes an original experimental and numerical approach regarding the potential threats caused by the detonation of 120 mm HE mortar bombs. The evaluation of the bomb effect presumes the fulfillment of experimental trials that focus on two physical mechanisms which appear after the detonation of the cased high explosive. These mechanisms are the shock wave generation and the fragments propulsion, which were also studied by a numerical model that provides results over the bomb fragmentation mode. The novelty of the paper consists in the calibrated 3D numerical model confirmed by the experimental data, which provides information over the fragmentation process of the case and the initial velocity of its fragments, proving that the main threat of this type of ammunition is the effect through metal fragments. The results of numerical simulation and experimental data are used for their comparative analysis and the assessment of the phenomena.

Characteristics of Piperine Solubility in Multiple Solvent

2011 ◽  
Vol 236-238 ◽  
pp. 2495-2498 ◽  
Author(s):  
Xue Song Huang ◽  
Xian Zhe Lin ◽  
Mo Ting Guo ◽  
Ya Zou
Keyword(s):  
Experimental Data ◽  
High Performance Liquid Chromatography ◽  
Acetic Acid ◽  
High Performance ◽  
Authentic Sample ◽  
Allometric Model ◽  
Experiment Data ◽  
Reverse Phase ◽  
Ethanol Acetic Acid ◽  
Acetic Acid Water

The solution of piperine in multiple solvent including ethanol, acetic acid, water and HCl were investigated to extract more piperine from piper fruit. Piperine was determined by reverse phase high-performance liquid chromatography with Diamonsil column (C18,5 μm ,250 mm×4. 6 mm) at 343 nm. Experiment data were simulated by Allometric model and the formula is Z=0.9+ 4.54×10-10×x5.675+1.8029×y2.12848+2.37×10-10×x5.675×y2.12848(Z:sample solution,mol/mL,x: the percentage of ethanol’s volume, ml/100mL,y: the acetic acid in the authentic sample solution, g/100mL), the adj·R2=0.997, the comparative deviation less than 2%. These results are good in agreement with experimental data. It reveals that the model can meet the requirements of the selection and design in extracting piperine from piper fruit.

scholarly journals Some important details on Richard growth model

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 1901-1908
Author(s):  
Mehmet Gurcan ◽  
Arzu Demirelli
Keyword(s):  
Experimental Data ◽  
Growth Models ◽  
Theoretical Distribution ◽  
Applied Statistics ◽  
Link Function ◽  
Parametric Methods ◽  
Location Parameters ◽  
High Flexibility ◽  
Two Parameters ◽  
Wrapped Distribution

The distribution of the data is very important in all of the parametric methods used in the applied statistics. More clearly, if the experimental data fit well to the theoretical distribution, the results will be more efficient in parametric methods. The adaptability of experimental data to a theoretical distribution depends on the flexibility of the theoretical distribution used. If the flexibility of the theoretical distribution is sufficient, it can be used easily for experimental data. Most of the theoretical distributions have shape and location parameters. However, these two parameters are not always sufficient for the distribution adapt to the experimental data. Therefore, theoretical distributions with high flexibility in parametric methods are needed. Obtaining the new theoretical distributions that provide this feature is important for the literature. In this study, a new probability distribution has been obtained via Richard link function which has been high flexibility. In the introduction, important information is given related to growth models and Richard growth curve. Later, some details about the Richard distribution and wrapped distribution have been given.

scholarly journals Jonscher indices for dielectric materials

2019 ◽  
Vol 09 (06) ◽  
pp. 1950046
Author(s):  
C. L. Wang
Keyword(s):  
Experimental Data ◽  
Asymptotic Behavior ◽  
Dielectric Relaxation ◽  
Time Domain ◽  
Dielectric Response ◽  
Relaxation Function ◽  
Dielectric Materials ◽  
Dielectric Response Function ◽  
Barium Stannate ◽  
Two Parameters

Two parameters are proposed as Jonscher indices, named after A. K. Jonscher for his pioneering contribution to the universal dielectric relaxation law. Time domain universal dielectric relaxation law is then obtained from the asymptotic behavior of dielectric response function and relaxation function by replacing parameters in Mittag–Leffler functions with Jonscher indices. Relaxation types can be easily determined from experimental data of discharge current in barium stannate titanate after their Jonscher indices are determined.

Bohr Hamiltonian with screened Kratzer potential for triaxial nuclei

2020 ◽  
Vol 29 (10) ◽  
pp. 2050082
Author(s):  
Y. Omon ◽  
J. M. Ema’a Ema’a ◽  
P. Ele Abiama ◽  
G. H. Ben-Bolie ◽  
P. Owono Ateba
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Energy Spectrum ◽  
Experiment Data ◽  
Uvarov Method ◽  
Good Agreement

In this paper, Bohr Hamiltonian is used to describe the behaviors of triaxial nuclei with screened Kratzer potential. The Nikivorov–Uvarov method is used to derive the energy spectrum and corresponding wave function. The electric quadruple transition ratios and energy spectrum of the [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Xe, [Formula: see text]Pt, [Formula: see text]Pt and [Formula: see text]Pt are calculated and compared with the experimental data. The results are in good agreement with experiment data.

An Investigation on the Grooved-Tapered Projectile Penetrating into the Concrete Targets

2014 ◽  
Vol 566 ◽  
pp. 359-364 ◽  
Author(s):  
Xin Xin Zhang ◽  
Hai Jun Wu ◽  
Feng Lei Huang ◽  
Ai Guo Pi ◽  
Xiu Fang Ma
Keyword(s):  
Experimental Data ◽  
Penetration Depth ◽  
Spherical Cavity ◽  
Initial Velocity ◽  
High Speed ◽  
Cavity Expansion ◽  
Round Hole ◽  
Low Speed ◽  
Concrete Materials ◽  
Spherical Cavity Expansion

Based on the dynamic spherical cavity expansion (SCE) theory of the concrete materials and the analysis of the experimental data, both the model of the petaling penetration with low speed and the model of the round hole penetration with high speed are constructed to describe the penetration of the grooved-tapered projectile in this paper. The penetration depth and the mass abrasion are calculated using the models, so are the change of the velocity and the acceleration of the projectile with the time in the stage of the low speed penetration. The results show for the grooved-tapered projectile penetrating the concrete, the error of the penetration depth and the mass abrasion between the theoretical value calculated using the petaling penetration model and the experimental data is less than 11%, when the initial velocity is lower than about 1000m/s. When the initial velocity is higher than about 1000m/s, the error of the penetration depth between the theoretical value calculated using the round hole penetration model and the experimental data is more than 20%, and the mass abrasion calculated is almost coincide with the experimental data. The research shows the models are suitable for the analysis of the grooved-tapered projectile penetrating the concrete target, and the grooved-tapered projectile is more valuable in the high speed penetration.

Numerical and Experimental Studies of Ballistic Compression Process in a Soft Recovery System

2020 ◽  
Vol 143 (3) ◽  
Author(s):  
Girijesh Mathur ◽  
Nachiketa Tiwari ◽  
Neha Chaturvedi
Keyword(s):  
Experimental Data ◽  
Numerical Model ◽  
Experimental Studies ◽  
Pressure Rise ◽  
Sensitivity Analyses ◽  
Design Parameters ◽  
Strong Positive Correlation ◽  
Compression Process ◽  
Recovery System ◽  
Two Parameters

Abstract A ballistic compression type soft recovery system can stop a free-flying supersonic projectile in a controlled manner. The moment such a projectile enters the System, a normal shock gets created and starts hurtling down, to kick off a train of events involving shock reflections, diaphragm rupture, shock merger, creation of new shocks and contact discontinuities, and expansion wave-shock interactions. A good understanding of these phenomena and sensitivity of the System's performance to changes in design parameters is needed to design an efficient soft recovery system. Unfortunately, not much information is available about this. The present work fills this gap. We have developed a numerical model for the system and conducted sensitivity analyses using four design parameters; pressure, molecular weight, the ratio of specific heats, and temperature of gas used in the system. We show that while there is a strong, positive correlation between the first two parameters and projectile deceleration, the other two parameters are less critical. We conducted experiments to corroborate our conclusions and improve our numerical model. Post such improvements, we found the difference between simulation and experimental data to be acceptable. Experiments also confirmed the findings of our sensitivity studies. Finally, we conducted a two-dimensional finite volume analysis to understand the reasons underlying the residual difference between our numerical and experimental data. We show that such differences are due to pressure-rise at a point once a shock passes by it, and such a rise in pressure is attributable to boundary layer effects.

Sign in / Sign up

Export Citation Format

Share Document