METHOD OF THEORY OF DIMENSIONS IN EXPERIMENTAL RESEARCH OF SYSTEMS AND PROCESSES-Reference-Cited by-同舟云学术

METHOD OF THEORY OF DIMENSIONS IN EXPERIMENTAL RESEARCH OF SYSTEMS AND PROCESSES

Published:2021-12-30 Issue: Volume: Page:233-240
ISSN:2068-2239
Container-title:INMATEH Agricultural Engineering
language:en
Short-container-title:INMATEH

Author:

Dmytriv Vasyl¹,Dmytriv Ihor¹,Horodetskyy Іvan²,Horodniak Roman¹,Dmytriv Taras³

Affiliation:

1. Lviv Polytechnic National University, Institute of Mechanical Engineering and Transport, Lviv, Ukraine

2. Lviv National Agrarian University, Faculty of Mechanic, Power Engineering and Information Technologies, Lviv-Dubliany, Ukraine

3. Lviv Polytechnic National University, Institute of Computer Technologies, Automation and Metrology, Lviv, Ukraine

Abstract

The method and parameters of experimental modelling of systems and processes in mechanical engineering are substantiated. The theory of similarity and dimensionality is used as an intermediate link between theory and experiment. The dimension of the factor space depends on the number of factors. The set of factors is grouped into dimensionless similarity criteria. The selected criteria are in certain dependence, such as the Galileo test, Euler and Reynolds numbers. Examples of application in experimental studies are given. The use of dimension theory in a factor-planned experiment allows reducing the number of factors, simplifies the mathematical interpretation of the response criterion and provides a graphical representation in the form of 3-D model.

Publisher

INMA Bucharest-Romania

Subject

Industrial and Manufacturing Engineering,Mechanical Engineering,Food Science

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