Measurement of instantaneous flow rate through estimation of velocity profiles

Uchiyama, Masaru; Hakomori, Kyojiro

doi:10.1109/tac.1983.1103235

Cited by 23 publications

(12 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Stone and Wright [6] investigated the dynamics of viscous flow meters both theoretically and experimentally. Uchiyama and Hakomori [7] proposed a method of measuring the instantaneous flow rate by estimating the velocity profiles in pipes. Most of these studies generated unsteady mass flows by using piston cylinders.…”

Section: Introductionmentioning

confidence: 99%

Development of Unsteady Gas Flow Generator With Highly Precise Inlet Flow Rate Control System

Funaki¹,

Kato

Kawashima

et al. 2008

Proceedings of the JFPS International Symposium on Fluid Power

View full text Add to dashboard Cite

In industry, an unsteady flow rate measurement of gases is becoming important increasingly. Our group has been developed an unsteady flow generator with an isothermal chamber for gases and showed that the calibration of the dynamic characteristics for the tested flow meter was effective. However, not only the measurement of the instantaneous flow rate value but also the evaluation of the time mean value in the unsteady flow becomes important in industry. And it was difficult to control precisely the time mean value of the generated flow rate using the former unsteady flow generator which we developed. In this research, to improve the precision of the generated flow rate with the unsteady flow generator, we suggest the inlet flow rate control method with the sonic nozzle and the high precise pressure control system and apply this method to the developed generator. Moreover, we perform the experiments and uncertainty analysis and confirm the effective of the suggested method.

show abstract

Section: Introductionmentioning

confidence: 99%

Development of Unsteady Gas Flow Generator With Highly Precise Inlet Flow Rate Control System

Funaki¹,

Kato

Kawashima

et al. 2008

Proceedings of the JFPS International Symposium on Fluid Power

View full text Add to dashboard Cite

show abstract

“…The goal is then to reconstruct the complete spatial variation of the function at each of the observation times, in essence creating a time sequence of spatial estimates. Applications include determining the instantaneous flow profile of a fluid [1], reconstructing the configuration of a deforming surface [2], or mapping the atmospheric distribution of pollutants [3] over time.…”

Section: Introductionmentioning

confidence: 99%

“…In kriging, a spatial function is modeled stochastically and then estimated using best linear unbiased estimation (BLUE) 1 (see [6]). In the most general case of universal kriging, the stochastic model assumes the function Manuscript received October 27, 1998; revised May 6, 1999.…”

Section: Introductionmentioning

confidence: 99%

“…Publisher Item Identifier S 1053-587X(99) 08316-6. has a known covariance but an unknown mean of the form (1) where are known functions of the multidimensional spatial variable , and are unknown, deterministic coefficients. Applying BLUE to this model results in a closed-form expression that estimates the function throughout space.…”

Section: Introductionmentioning

confidence: 99%

“…Such an approach was previously proposed for the special case of zero-mean functions [9]-as in simple kriging-essentially extending the standard vector Kalman filter to address a space-time problem. More general solutions have been proposed [10], [11] for unknown means characterized by (1), where the coefficients themselves obey a known stochastic model, thus extending methods for vector Kalman filtering in the presence of random bias [12]- [14]. However, neither of these approaches captures two great strengths of universal kriging.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The kriging update model and recursive space-time function estimation

Kerwin

Prince

1999

IEEE Trans. Signal Process.

View full text Add to dashboard Cite

Abstract-We present a method for efficiently fitting a time series of spatial functions to observed data. The method is closely related to kriging, which is an interpolation method based on a stochastic data model. While kriging is effective and versatile for estimating individual functions from observed data, it must be extended to incorporate temporal correlation. In this paper, we introduce temporal correlation to kriging in the form of a stochastic state equation representation-the kriging update model. This permits a recursive solution that is akin to Kalman filtering to estimate time series of functions that avoids growing data problems associated with other spacetime extensions of kriging. The state equation representation incorporates the principle assumption of universal kriging: that the mean is deterministic but unknown. We derive the estimate using best linear unbiased estimation and state the result in a concise algorithm for general use in arbitrary spatial dimensions. To demonstrate the algorithm, we apply it to two sets of test functions and provide an example application in estimating heart motion from medical images.

show abstract

Numerical realization for analysis of real flows by integrating computation and measurement

Hayase

Nisugi

Shirai

2004

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYIn this paper, we deal with a numerical realization, which is a numerical analysis methodology to reproduce real ows by integrating numerical simulation and measurement. It is di cult to measure or calculate ÿeld information of real three-dimensional unsteady ows due to the lack of an experimental ÿeld measurement method, as well as of a way to specify the exact boundary or initial conditions in computation. Based on the observer theory, numerical realization is achieved by a combination of numerical simulation, experimental measurement, and a feedback loop to the simulation from the output signals of both methods. The present paper focuses on the problem of how an inappropriate model or insu cient grid resolution in uences the performance of the numerical realization in comparison with ordinary simulation. For a fundamental ow with the Karman vortex street behind a square cylinder, two-dimensional analysis is performed by means of numerical realization and ordinary simulation with three grid resolutions. Comparison of the results with those of the experiment proved that the feedback of the experimental measurement signiÿcantly reduces the error due to insu cient grid resolution and e ectively reduces the error due to inappropriate model assuming two-dimensionality.

show abstract

Measurement of instantaneous flow rate through estimation of velocity profiles

Cited by 23 publications

References 3 publications

Development of Unsteady Gas Flow Generator With Highly Precise Inlet Flow Rate Control System

Development of Unsteady Gas Flow Generator With Highly Precise Inlet Flow Rate Control System

The kriging update model and recursive space-time function estimation

Numerical realization for analysis of real flows by integrating computation and measurement

Contact Info

Product

Resources

About