Modelling of Two-Phase Nano Fluid and Steel-Slag Jets

The original multiphase method with the introduction of a phase indicator function is applied for mathematical modelling and computer simulation of the mixing and heat transfer processes in the two-fluid turbulent heterogeneous jets. Differential equations for the axially symmetrical two-dimensional stationary flow and the integral correlations in a cylindrical coordinate system are considered for the jet of fluid from a nozzle into a space filled with another fluid that is not miscible with the first one. Parameters of the turbulent mixing during the spreading of such jets are modeled and analyzed. For computer simulation, the FLEX PDE platform is implemented. The method proved successfully during the half of the century in many different physical tasks, including experimental studies using the invented two-phase micro-sensor. The results obtained for the turbulent flow of a few nanofluids and Steel-slag jets are important for research and industrial tasks, where the calculation of multiphase turbulent mixing and heat transfer gives precise detail characteristics of the heat and mass transfer processes.

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Publication Details

Journal
WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER
Published
2026-09-15
DOI
https://doi.org/10.37394/232012.2026.21.8
Primary Topic
Erosion and Abrasive Machining
Type
article
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Modelling of Two-Phase Nano Fluid and Steel-Slag Jets

Іван Казачков
WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER
Erosion and Abrasive Machining
article

Modelling of Two-Phase Nano Fluid and Steel-Slag Jets

Іван Казачков
article en

Abstract

The original multiphase method with the introduction of a phase indicator function is applied for mathematical modelling and computer simulation of the mixing and heat transfer processes in the two-fluid turbulent heterogeneous jets. Differential equations for the axially symmetrical two-dimensional stationary flow and the integral correlations in a cylindrical coordinate system are considered for the jet of fluid from a nozzle into a space filled with another fluid that is not miscible with the first one. Parameters of the turbulent mixing during the spreading of such jets are modeled and analyzed. For computer simulation, the FLEX PDE platform is implemented. The method proved successfully during the half of the century in many different physical tasks, including experimental studies using the invented two-phase micro-sensor. The results obtained for the turbulent flow of a few nanofluids and Steel-slag jets are important for research and industrial tasks, where the calculation of multiphase turbulent mixing and heat transfer gives precise detail characteristics of the heat and mass transfer processes.

WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFERVol. 21
Nizhyn Gogol State University (UA)
Industry, innovation and infrastructure
Openalex Percentile: Top 13%
Erosion and Abrasive Machining
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Modelling of Two-Phase Nano Fluid and Steel-Slag Jets — Іван Казачков · WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER (2026) | TGRS Research Map | TGRS