Significance of Exponential Space-Based Internal Heat Source on Bio-Convective Maxwell Nanofluid Flow Due to Stretching Sheet in the Presence of Darcy–Forchheimer and Lorentz Forces

Keywords: bioconvection, Darcy–Forchheimer, exponential space-based, Lorentz Forces, Maxwell nanofluid

Abstract

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This study investigates two-dimensional flow of bio-convective Maxwell nanofluid over a stretching sheet in the influence of motile microorganisms. Furthermore, the impact of thermal radiation and exponential space-based heat sources have been analyzed. The results showed that magnetic, Darcy–Forchheimer, Deborah and inertia parameters significantly suppressed the velocity field while modifying thermal and concentration boundary-layer thicknesses. Brownian motion and thermophoretic effects enhanced temperature and nanoparticle concentration, whereas bioconvective parameters strongly regulated microorganism density and associated bio-convective patterns. Applications of the current research study include model oil reservoirs, solar energy technology, re-entry of spacecraft, electrical power generation, cosmological flows, chemical engineering, air and water management systems, industrial zones, human blood flow, bioindustrial systems, environmental sciences and power generating systems, etc.

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Published
2026-01-20
How to Cite
1.
Arbaz MA, Azam MK, Imran M. Significance of Exponential Space-Based Internal Heat Source on Bio-Convective Maxwell Nanofluid Flow Due to Stretching Sheet in the Presence of Darcy–Forchheimer and Lorentz Forces. Sci Inquiry Rev [Internet]. 2026Jan.20 [cited 2026Jan.23];9(4):07-2. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/7280
Section
Mathematics