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
Keywords:
Chemical engineering, Dimensionless numbers, Fluid mechanics, Mixing system, Reynolds number, Process equipmentAbstract
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 particleladen 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.
References
Darby, R., and Chhabra, R. P. (2017). Chemical engineering fluid mechanics (3rd ed.). CRC
Press.
Deen, W. M. (2016). Introduction to chemical engineering fluid mechanics. Cambridge
University Press.
Kay, J. M., and Nedderman, R. M. (1974). An introduction to fluid mechanics and heat transfer:
With applications in chemical and mechanical process engineering (3rd ed.).
Cambridge University Press.
Mory, M. (2011). Fluid mechanics for chemical engineering. ISTE Ltd. and John Wiley and Sons,
Inc.
Nandiyanto, A. B. D., Che Sidik, N. A., Kurniawan, T., Bilad, M. R., Gandidi, I. M., Sukrawan, Y.,
and Mahmudatussa’adah, A. (2025). How to understand fluid mechanics in chemical
engineering: Principles, applications, research trends, and bibliometric insights.
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 131(1), 96-
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.
Raju, K. S. (2011). Fluid mechanics, heat transfer, and mass transfer: Chemical engineering
practice. John Wiley and Sons.
Schetz, J. A., and Fuhs, A. E. (Eds.). (1999). Fundamentals of fluid mechanics. WileyInterscience.
Susilawati, A. (2024). A bibliometric analysis of global trends in engineering education
research. ASEAN Journal of Educational Research and Technology, 3(1), 103-110.
