ABSTRACT This study explores the effects of nanolayer thermal conductivity on the two‐dimensional magnetohydrodynamic rotational flow of ternary hybrid nanofluids over a permeable surface with motile microorganisms. The impact of activation energy and chemical reaction parameters on heat and mass transfer are analyzed. Three different types of metallic and nanometallic nanoparticles are used with water as the base fluid to explore the impact of shape and size factors on the thermal conductivity and viscosity of ternary hybrid nanofluids. A similarity transformation converts the nonlinear partial differential equation (PDE) into an ordinary differential equation (ODE). The ODEs are numerically solved using the fourth‐order Runge–Kutta (R–K) method through the shooting technique. Numerical and graphical results for various dimensionless parameters, obtained using Mathematica software, illustrate the influence of governing parameters on velocity, temperature, concentration, and motile microorganism profiles. Physical quantities like skin friction coefficient, Nusselt number, Sherwood number, and motile number are analyzed. Graphical plots are used to optimize heat transfer over a double porous plate by varying parameters such as , , , , and . Results show that adjusting the shape and size factor, particularly using platelet shapes, significantly enhances thermal conductivity. The radial velocity profile reduces by 45% at both boundaries and elevates by 110% at the center as the nanoparticle diameter rises from 0.01 to 0.07. The temperature profile is enhanced by 180% as the exothermic/endothermic parameter grows from 1.5 to 4.5, achieving its maximum value. The microorganism profile decreases by 64% on the lower surface and is enhanced by 60% on the upper surface as the chemical reaction variable increases from −9 to 9. Increasing exothermic/endothermic and similarity variable parameters improves heat transfer while raising activation energy decreases heat and mass transfer flow. The Nusselt number improves by 58.33% and enhances by 155.35% as nanolayer thickness and particle radius rise. For a lower porous heat transfer rate, expanding reduces by 61.47%, while contracting enhances by 97.17% as the temperature difference parameter rises from 0.1 to 0.35.
Raza et al. (Wed,) studied this question.