A Versatile Analytical Expression for the Inverse Abel Transform Applied to Experimental Data with Noise

2008 ◽  
Vol 62 (6) ◽  
pp. 701-707 ◽  
Author(s):  
Shuiliang Ma ◽  
Gming Hon Gao ◽  
Guangjun Zhang ◽  
Lin Wu
Keyword(s):  
Experimental Data ◽  
Abel Transform ◽  
Analytical Expression

Statistical Design of Fatigue Experiments

1952 ◽  
Vol 19 (1) ◽  
pp. 109-113
Author(s):  
Waloddi Weibull
Keyword(s):  
Experimental Data ◽  
Statistical Design ◽  
Testing Time ◽  
Optimum Distribution ◽  
Analytical Expression ◽  
Optimum Choice ◽  
Stress Levels ◽  
Parameter Values ◽  
Applied Stresses

Abstract An analytical expression connecting fatigue lives with applied stresses, and methods for computing the values of its parameters from experimental data are given. Formulas for estimating the uncertainty of computed parameter values, caused by scatter of loads and fatigue lives, for optimum distribution of specimens, and for optimum choice of stress levels, are deduced. Testing time and costs may be reduced by more than 40 per cent by using the formulas.

Viscous Dissipation in Laminar Water Flows in Micro-Tubes

2007 ◽  
Author(s):  
In-Hwan Yang ◽  
Mohamed S. El-Genk
Keyword(s):  
Experimental Data ◽  
Viscous Dissipation ◽  
Temperature Rise ◽  
Experimental Results ◽  
Numerical Calculations ◽  
Analytical Expression ◽  
Water Flows ◽  
Good Agreement

Numerical calculations are performed to investigate the effect of viscous dissipation on the temperature rise and friction numbers for laminar water flows in micro-tubes. The calculated values are compared with those determined from reported experimental data for glass and diffused silica micro-tubes (D = 16 – 101 μm and L/D = 625 – 1479). The results confirm a definite slip at the wall with slip lengths of ∼ 0.7 μm and 1.0 μm, which decrease the friction number and the temperature rise in the micro-tubes, but their effect gradually diminishes as either D or L/D increases. The friction number decreases exponentially as D decreases and, to a lesser extent, as L/D increases. The effect of L/D on the friction number is insignificant for micro-tube diameters ≤ 20 μm. For D > 400 μm, the friction number approaches that of Hagen-Posieuille of 64 for macro-tubes when L/D > 1500, but approaches higher values at smaller L/D. The dimensionless analytical expression developed for calculating the friction number and the temperature rise for water flows in micro-tubes is in good agreement with both the numerical and experimental results.

Buckle Propagation Pressure for Submarine Pipelines

1993 ◽  
Vol 115 (3) ◽  
pp. 162-166 ◽  
Author(s):  
G. D. Hahn ◽  
M. She ◽  
J. F. Carney
Keyword(s):  
Experimental Data ◽  
Design Practice ◽  
Offshore Pipelines ◽  
Analytical Expression ◽  
Geometrical Nonlinearities ◽  
Main Factors ◽  
Buckle Propagation ◽  
Good Agreement

A new analytical expression is proposed for the prediction of the buckle propagation pressure for deepwater offshore pipelines. The expression accounts for the influences of the main factors involved, including the effects of material and geometrical nonlinearities. Predictions of the proposed expression are shown to be in good agreement with available experimental data, and valuable information is developed that can guide applications of the expression in design practice. In addition, a discussion is presented which outlines the derivation of the proposed expression.

The formation of a dip on the surface of a liquid draining from a tank

1967 ◽  
Vol 29 (2) ◽  
pp. 385-390 ◽  
Author(s):  
Barry T. Lubin ◽  
George S. Springer
Keyword(s):  
Experimental Data ◽  
Liquid Surface ◽  
Cylindrical Tank ◽  
Simple Analytical Expression ◽  
Analytical Expression ◽  
Stationary Liquid ◽  
Circular Orifice ◽  
Good Agreement

Experiments were performed studying the formation of a dip on the surface of an initially stationary liquid draining from a cylindrical tank through an axisym-metrically placed circular orifice. Based upon the information obtained from the experiments, a simple analytical expression was derived predicting the height of the liquid surface in the tank at which this dip forms. A comparison was made between the experimental data and the results of the analysis and good agreement was found between theory and data.

scholarly journals Second virial coefficient for the exponent--spline-Morse-spline-van der Waals potential and its application

2021 ◽  
Author(s):  
E. Somuncu ◽  
B.A. Mamedov
Keyword(s):  
Experimental Data ◽  
Thermal Properties ◽  
Thermodynamic Properties ◽  
Virial Coefficient ◽  
Van Der Waals ◽  
Second Virial Coefficient ◽  
Rare Gases ◽  
Analytical Expression ◽  
Numerical Approaches ◽  
Binomial Function

An analytical expression for the second virial coefficient based on an exponent-spline-Morse-spline-van der Waals (ESMSV) potential is presented here for use in defining the thermodynamic properties of rare gases. Our method is established based on a series expansion of the exponential function, Meijer function, gamma function, binomial function, and hypergeometric function. Numerical approaches have commonly been used for the evaluation of the second virial coefficient with the ESMSV potential in the literature. The general formula obtained here can be applied to estimate the thermal properties of rare gases. Our results for the second virial coefficient based on the ESMSV potential of He-He, He-Ne, He-Ar, and He-Xe rare gases are compared with numerical calculations and experimental data, and it is shown that our analytical expression can be successfully used for other gases.

Effect of kinesin velocity distribution on slow axonal transport

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Andrey Kuznetsov
Keyword(s):  
Experimental Data ◽  
Velocity Distribution ◽  
Axonal Transport ◽  
State Model ◽  
Concentration Wave ◽  
Slow Axonal Transport ◽  
Kinesin Motor ◽  
Analytical Expression ◽  
Stop And Go ◽  
Probability Density Function Pdf

AbstractThe goal of this paper is to investigate the effect that a distribution of kinesin motor velocities could have on cytoskeletal element (CE) concentration waves in slow axonal transport. Previous models of slow axonal transport based on the stop-and-go hypothesis (P. Jung, A. Brown, Modeling the slowing of neurofilament transport along the mouse sciatic nerve, Physical Biology 6 (2009) 046002) assumed that in the anterograde running state all CEs move with one and the same velocity as they are propelled by kinesin motors. This paper extends the aforementioned theoretical approach by allowing for a distribution of kinesin motor velocities; the distribution is described by a probability density function (PDF). For a two kinetic state model (that accounts for the pausing and running populations of CEs) an analytical solution describing the propagation of the CE concentration wave is derived. Published experimental data are used to obtain an analytical expression for the PDF characterizing the kinesin velocity distribution; this analytical expression is then utilized as an input for computations. It is demonstrated that accounting for the kinesin velocity distribution increases the rate of spreading of the CE concentration waves, which is a significant improvement in the two kinetic state model.

Flow Nozzles With Zero Beta Ratio

1964 ◽  
Vol 86 (3) ◽  
pp. 538-540 ◽  
Author(s):  
Hans J. Leutheusser
Keyword(s):  
Experimental Data ◽  
Satisfactory Agreement ◽  
Discharge Coefficient ◽  
Theoretical Equation ◽  
Analytical Expression ◽  
Discharge Coefficients ◽  
Analytical Work

An analytical expression for the discharge coefficient of ASME long-radius flow nozzles with zero beta ratio is presented. The latter condition corresponds to the installation of a metering nozzle at the outlet from a very large supply reservoir. The prediction of the theoretical equation is compared with experimentally determined discharge coefficients for nozzles of this type. Reference is made to analytical work in this field by other investigators and conclusions are drawn as to the degree of analytical sophistication required in order to obtain satisfactory agreement between analytical and experimental data.

An Investigation of the Volatilization of Oil Sand Surfaces When Subjected to Parallel Hot Gaseous Streams

1986 ◽  
Vol 108 (4) ◽  
pp. 343-346
Author(s):  
M. Abdrabboh ◽  
G. A. Karim
Keyword(s):  
Experimental Data ◽  
Mass Loss ◽  
Stream Temperature ◽  
Oil Sand ◽  
Time Rate ◽  
Simple Analytical Expression ◽  
Analytical Expression ◽  
Schmidt Numbers ◽  
Correlation Parameters

Preshaped rectangular sand slabs were subjected to hot oxidizing streams. The rate of mass loss due to fluid volatilization at constant stream temperature was established and correlated with time by a simple analytical expression that fitted the experimental data well. The correlation parameters showed that the ultimate extent of volatilization depends uniquely on the surrounding stream temperature. The time rate of mass loss was found to be a function of Reynolds and Schmidt numbers and the temperature of the heating stream.

INVESTIGATIONS OF THE DENSITY DISTRIBUTIONS OF 208Pb WITH THE THOMAS–FERMI METHOD

2013 ◽  
Vol 28 (23) ◽  
pp. 1350108 ◽  
Author(s):  
M. GOKBULUT ◽  
H. KOC ◽  
E. ESER ◽  
I. YIGITOGLU ◽  
B. A. MAMEDOV
Keyword(s):  
Experimental Data ◽  
The Other ◽  
Proton Density ◽  
Nucleon Density ◽  
Analytical Expression ◽  
Thomas Fermi ◽  
Density Distributions ◽  
Good Agreement

In this study, the neutron and proton density distributions of 208 Pb nucleus have been analytically calculated by using a new, simple and physically meaningful analytical expression obtained for the Fermi integral which is situated in the nucleon density distributions. The results obtained for 208 Pb have been compared with those of the other theoretical and experimental data and found in good agreement.

SEMICLASSICAL STUDY OF δ-ELECTRON SPECTRA

1993 ◽  
Vol 03 (03) ◽  
pp. 237-241
Author(s):  
S.A. GERASIMOV
Keyword(s):  
Experimental Data ◽  
Secondary Electron ◽  
Short Communication ◽  
Analytical Calculation ◽  
Analytical Expression ◽  
Electron Spectra ◽  
Comparison With Experimental Data

This short communication contains an analytical expression for secondary-electron spectra. The obtained solution is confirmed by comparison with experimental data and analytical calculation of the Livingstone-Bethe asymptotics.

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