APPLICATION OF FRACTIONAL CALCULUS FOR MODELLING OF TWO-PHASE GAS/LIQUID FLOW SYSTEM

Jacek Nowakowski

jacnow@kis.p.lodz.pl
Lodz University of Technology, Institute of Applied Computer Science (Poland)

Piotr Ostalczyk


Lodz University of Technology, Institute of Applied Computer Science (Poland)

Dominik Sankowski


Lodz University of Technology, Institute of Applied Computer Science (Poland)

Abstract

In recent years the use of fractional calculus in control system identification is becoming popular and it has found new applications. The paper presents application of fractional calculus for modelling of two-phase gas/liquid flows in a test rig. The installation consists of three horizontal and vertical measuring segments with different diameters, which allow to investigate flows in a wide range of parameters. Flow components supply is measured/controlled by NI PXI system and a set of flow meters/controllers. The paper presents model of the two-phase flow in the above described installation, which leads to precise and accurate flow mathematical model. The main goal of the flow model is to describe steady flow parameters, especially the flow fractions, or type of the flow. The model describes flows more accurately, that classical second order system model.


Keywords:

tomography, electrical capacitance tomography, fractional calculus

Babout L., Sankowski D.: Denidia project: A Marie Curie action to increase excellence in hardware and software development related to tomography application, Zeszyty Naukowe Politechniki Łódzkiej, Seria: Elektryka, 121/2010, 45–53.
  Google Scholar

Jacquot R.G.: Modern Digital Control Systems, Electrical Engineering and Electronics, Marcel Dekker, Inc. New York, 1994.
  Google Scholar

Kapusta P., Banasiak R., Sankowski D.: Efficient computation of linearized inverse problem for 3D electrical capacitance tomography using GPU and CUDA technology, XVII International Conference on Information Technology Systems: Theory, Design, Implementations, Applications, 3-4 November, 2010, Lodz, Poland.
  Google Scholar

Kapusta P., Majchrowicz M., Banasiak R.: Applying parallel and distributed computing for image reconstruction in 3D Electrical Capacitance Tomography. Zeszyty naukowe AGH AUTOMATYKA tom 14(3)/2010.
  Google Scholar

Miller K., Ross B.: An introduction to Fractional Calculus and Fractional Differential Equations. Wiley, New York, 1993.
  Google Scholar

Ogata K.: Discrete-Time Control Systems. Prentice – Hall International, Inc., Englewood Cliffs, 1997.
  Google Scholar

Ostalczyk P.: Some remarks on a fractional backward difference evaluation, Proc. 3rd IFAC Workshop on Fractional Differentiation and its Applications Numerical_Methods_3_4, 2008.
  Google Scholar

Ostalczyk P.: The non-integer difference of the discrete-time function and its application to the control system synthesis. International Journal of System Science, 31(12)/2000, 1551–1561.
  Google Scholar

Sankowski D.: Computer Vision in Robotics and Industrial Applications, Series in Computer Vision, ed. D. Sankowski, J. Nowakowski, World Scientific 3/2014, Chapter 3, 49–70, Chapter 8, 159–172.
  Google Scholar

Sankowski D., Mosorov V., Grudzien K.: Mass Flow Measurement based on a Virtual Channel Concept, Proc. 5th ISDA’05, 2005, Wroclaw, Poland, 274–279.
  Google Scholar

Smith T.R., Schlegel J.P., Hibiki T., Ishii M.: Two-phase flow structure in large diameter pipes, International Journal of Heat and Fluid Flow, 33/2012, 156–167.
  Google Scholar

Zhang T.J., Wen J.T., Julius A., Peles Y., Jensen M.K.: Stability analysis and maldistribution control of two-phase flow in parallel evaporating channels. International Journal of Heat and Mass Transfer, 54/2011, 5298–5305.
  Google Scholar

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Published
2017-03-03

Cited by

Nowakowski, J., Ostalczyk, P., & Sankowski, D. . (2017). APPLICATION OF FRACTIONAL CALCULUS FOR MODELLING OF TWO-PHASE GAS/LIQUID FLOW SYSTEM. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 7(1), 42–45. https://doi.org/10.5604/01.3001.0010.4580

Authors

Jacek Nowakowski 
jacnow@kis.p.lodz.pl
Lodz University of Technology, Institute of Applied Computer Science Poland

Authors

Piotr Ostalczyk 

Lodz University of Technology, Institute of Applied Computer Science Poland

Authors

Dominik Sankowski 

Lodz University of Technology, Institute of Applied Computer Science Poland

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