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Evolutions in Mechanical Engineering

Determination of the Probability Size Distribution of Solid Particles in a Technical Water

  • Open or Close Tomantschger Kurt W1*, Petrović Dragan V2 and Radojević Rade L2

    1Graz University of Technology, Institute of Analysis, Austria

    2University of Belgrade, Faculty of Agriculture, Institute for Agricultural Engineering, Belgrade-Zemun, Serbia

    *Corresponding author: Tomantschger Kurt W, Graz University of Technology, Institute of Analysis and Number Theory, Steyrergasse 30, 8010 Graz, Austria

Submission: September 11, 2018;Published: October 16, 2018

DOI: 10.31031/EME.2018.01.000514

ISSN 2640-9690
Volume1 Issue3


Measuring the size distribution of solid contaminants born by the technical cooling water has an important role. Therefore, in this paper a partial differential equation which describes the probability size distribution of solid contaminants born by technical cooling water is presented and solved. It is demonstrated that the differential equation possesses an analytical solution in the form of the Gibbs-Boltzmann distribution function. The fitting function of probability density function represents a solution of the partial differential equation.

Before evaluation, the sampled water was prepared with filtration equipment. Extracing particles are digitized under scanning microscope. Finally, the particle sizes of contaminants are measured by digital image analysis technique, incorporated in a special program.

Keywords: Partial differential equation; Waterborn contaminants; Particle size distribution; Probability density function

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