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How to Calculate Dimensionless Numbers in Fluid Mechanics and Their Applications in Chemical Engineering Processes: Reynolds, Mach, Froude, Euler, Power, Stokes, Weber, Capillary, and Cavitation Numbers

Asep Bayu Dani Nandiyanto(1), Obie Farobie(2), Belkheir Hammouti(3),


(1) Universitas Pendidikan Indonesia
(2) IPB University
(3) Euromed University of Fes
Corresponding Author

Abstract


This paper explains how to calculate and interpret dimensionless numbers in fluid mechanics for chemical engineering applications, focusing on the Reynolds, Mach, Froude, Euler, Power, Stokes, Weber, Capillary, and Cavitation numbers. The first part presents each dimensionless number individually based on its definition, formula, required variables, threshold values, physical meaning, calculation example, interpretation, and handling strategy. The second part presents integrated case examples to show how several dimensionless numbers can be used together to analyze more complex chemical engineering systems. The examples include pipe flow, gas flow, heat exchangers, slurry pipelines, pumps, valves, nozzles, mixing vessels, wastewater aeration basins, aerated fermentation bioreactors, spray drying systems, cyclones, and particle-laden flows. Through these examples, this paper aims to help readers connect dimensionless-number calculations with process behavior, engineering interpretation, and practical decision-making in chemical engineering.

Keywords


Chemical engineering; Dimensionless numbers; Fluid mechanics; Mixing system; Reynolds number; Process equipment.

References


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Nandiyanto, A. B. D., Kurniawan, T., Bilad, M. R., Al-Obaidi, A. S. M., Farobie, O., and Hammouti, B. (2026). How to integrate nanotechnology into chemical engineering education: A bibliometric and technological review of curriculum standards, research trends, pedagogical challenges, and future prospects. ASEAN Journal of Educational Research and Technology, 5(2), 245-260.

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