Bioconvective flow of microorganisms in an Eyring-Powell nanofluid with activation energy over a curved surface

Document Type : Research Article

Authors

Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan

10.24200/sci.2026.68175.11018

Abstract

The current theoretical study focuses on the effects of microorganisms and activation energy in bio-convective flow of Eyring-Powell nanofluid on a stretchable curved surface with influences of thermophoretic and Brownian diffusions. The nonlinear flow equations depicting the rheological features of the Eyring-Powell fluid are developed by adopting the curvilinear coordinate scheme. The activation energy has been added to sense its importance on the concentration of nanoparticles, whereas motile microorganisms are included in order to stabilize the nanofluid suspension. The entropy generation analysis is aimed at analyzing the system irreversibility with reference to answer questions about energy dissipation and thermal efficiency. Moreover, the equations of velocity and energy are defined by the effects of a magnetic field and heat generation, respectively. The velocity, temperature, nanoparticle concentration, microorganism concentration, entropy production, and the profiles of the local numbers are represented with numerical solutions derived using the shooting technique. The effects of the influential variables on profiles of concern are examined in detail through graphical and tabular results. The graphical results state that concentration profile of nanoparticles is enhanced with increased values of the activation energy parameter and decreases with temperature difference constant, the reaction rate variable, and the fitted rate constant. This study develops the understanding of movement of nanofluid over curved surfaces and provides a comprehensive background that extends existing literature, offering insights into multi-physics transport processes relevant to advanced manufacturing, chemical processing, bioengineering, and thermal management applications, including polymer extrusion, catalytic reactors, biomedical drug delivery, electronic cooling, and bioreactor design.

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Articles in Press, Accepted Manuscript
Available Online from 23 June 2026
  • Receive Date: 03 November 2025
  • Revise Date: 29 January 2026
  • Accept Date: 20 May 2026