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Abstract <p>A comparison is made of the accuracy of approximation of the dependence of the liquid density on temperature given in the form of a table or graph by a known typical equation and its power modification obtained by replacing the algebraic dependence of the rheology of a viscous Newtonian fluid with the Ostwald de Wiel power equation for so-called pseudoplastic liquids. It is shown that for the liquids considered in the work (water, benzene, plastic lubricant, and machine oil), the proposed modified power equation in a wide range of temperature changes reduces both the average relative deviation of the theoretical density values from the specified values and the largest relative deviation by several times.</p>

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Approximation of the Dependence of Liquid Density on Temperature by a Power Equation

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • A. B. Golovanchikov,
  • N. A. Prokhorenko,
  • N. A. Merentsov,
  • Yu. V. Bogdanova

摘要

Abstract

A comparison is made of the accuracy of approximation of the dependence of the liquid density on temperature given in the form of a table or graph by a known typical equation and its power modification obtained by replacing the algebraic dependence of the rheology of a viscous Newtonian fluid with the Ostwald de Wiel power equation for so-called pseudoplastic liquids. It is shown that for the liquids considered in the work (water, benzene, plastic lubricant, and machine oil), the proposed modified power equation in a wide range of temperature changes reduces both the average relative deviation of the theoretical density values from the specified values and the largest relative deviation by several times.