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


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.

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

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.

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.

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

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

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.

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.

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.

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

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.

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.

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Published : 2017-03-03


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

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