International Journal of Fuzzy Mathematical Archive
  • Year: 2025
  • Volume: 23
  • Issue: 1

Unified perspective on MHD nanofluid simulation and fuzzy graph applications in complex systems

1Department of Mathematics, Vellalar College for Women, Erode, India, E-mail: jpramyamaths@gmail.com

2Department of Physics, Sar. C., Islamic Azad University, Sari, Iran, E-mail: farshid.mofidnakhaei@gmail.com

Online published on 14 August, 2025.

Abstract

This study explores the influence of Lorentz force on nanofluid flow over a stretching surface in a fuzzy environment. The focus is on understanding how electromagnetic forces, along with uncertainties in fluid properties and external conditions, affect the behavior of fluids containing nanoparticles. By incorporating fuzzy logic, the study accounts for variability in physical parameters, leading to a more comprehensive and realistic analysis. The governing equations, which consider fluid dynamics, microrotation, nanoparticle concentration, and Lorentz force, are solved numerically. The results reveal significant changes in velocity, microrotation, and temperature profiles, emphasizing the critical role of Lorentz force and fuzzy parameters in modulating the flow characteristics. This research provides valuable insights for optimizing industrial applications involving nanofluids and electromagnetic fields, enhancing heat transfer efficiency, and refining material processing techniques.

Keywords

Fuzzy α-cut method, Complex systems analysis, Magnetohydrodynamics, Uncertainty modeling