APPLICATION OF FRACTIONAL CALCULUS FOR MODELLING OF TWO-PHASE GAS/LIQUID FLOW SYSTEM
Jacek Nowakowski
jacnow@kis.p.lodz.plLodz 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 calculusReferences
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
Authors
Jacek Nowakowskijacnow@kis.p.lodz.pl
Lodz University of Technology, Institute of Applied Computer Science Poland
Authors
Piotr OstalczykLodz University of Technology, Institute of Applied Computer Science Poland
Authors
Dominik SankowskiLodz University of Technology, Institute of Applied Computer Science Poland
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