Abstract
Non-Newtonian fluids are essential in situations where heat and mass transfer are involved. Heat and mass transfer processes increase efficiency when nanoparticles (0.01≤φ≤0.03)(0.01≤φ≤0.03)<math><mrow><mo>(</mo><mrow><mn>0.01</mn><mo>≤</mo><mi>φ</mi><mo>≤</mo><mn>0.03</mn></mrow><mo>)</mo></mrow></math> are added to these fluids. The present study implements a computational approach to investigate the behavior of non-Newtonian nanofluids on the surface of an upright cone. Viscous dissipation (0.3≤Ec≤0.9)(0.3≤Ec≤0.9)<math><mrow><mo>(</mo><mrow><mn>0.3</mn><mo>≤</mo><msub><mi>E</mi><mi>c</mi></msub><mo>≤</mo><mn>0.9</mn></mrow><mo>)</mo></mrow></math> and magnetohydrodynamics (MHD) (1≤M≤3)(1≤M≤3)<math><mrow><mo>(</mo><mrow><mn>1</mn><mo>≤</mo><mi>M</mi><mo>≤</mo><mn>3</mn></mrow><mo>)</mo></mrow></math> are also taken into account. Furthermore, we explore how microorganisms impact the fluid's mass and heat transfer. The physical model's governing equations are transformed into ordinary differential equations (ODEs) using a similarity transformation to make the analysis easier. The ODEs are solved numerically using the Bvp4c solver in MATLAB. The momentum, thermal, concentration, and microbe diffusion profiles are graphically represented in the current research. MHD (1≤M≤3)(1≤M≤3)<math><mrow><mo>(</mo><mrow><mn>1</mn><mo>≤</mo><mi>M</mi><mo>≤</mo><mn>3</mn></mrow><mo>)</mo></mrow></math> effects improve the diffusion of microbes, resulting in increased heat and mass transfer rates of 18 % and 19 %, respectively, based on our results. Furthermore, a comparison of our findings with existing literature demonstrates promising agreement.