Available online 4 January 2024 | Fariha Ahmed, Sk Reza-E-Rabbi, Md Yousuf Ali, Lasker Ershad Ali, Ariful Islam, Md Azizur Rahman, Raju Roy, Md Rafiqul Islam, Sarder Firoz Ahmmmed
This research investigates the numerical modeling of a MHD non-linear radiative Maxwell nano fluid with activation energy. The study focuses on the effects of linear and nonlinear radiation, activation energy, and other physical parameters on the flow behavior of a non-Newtonian Maxwell fluid. The model incorporates the Arrhenius activation energy, which is crucial for chemical reactions, and accounts for the effects of Brownian motion, thermophoresis, and chemical reactions. The study uses the Explicit Finite Difference (EFD) method to solve the governing equations, which include the continuity, momentum, energy, and concentration equations. The numerical simulations are performed with custom code and the EFD method to analyze the fluid behavior, revealing intricate interactions between forces and fluid patterns. The model is tested for convergence and stability, with parameters such as ΔY = 0.25, Δτ = 0.0005, and ΔX = 0.20, showing convergence to the Lewis number (Le > 0.016) and Prandtl number (Pr > 0.08). The results include the skin friction coefficient, Sherwood number, Nusselt number, isothermal lines, and streamlines, which are analyzed to understand the impact of various physical factors on the fluid flow. The study highlights the significant role of thermal radiation and activation energy in enhancing heat and mass transfer in non-Newtonian fluids, with applications in medical and industrial fields, particularly in cancer treatment. The research demonstrates the superior performance of non-Newtonian solutions, especially in cases involving activation energy and nonlinear radiation, and provides insights into the complex interactions between fluid dynamics, heat transfer, and mass transport in Maxwell fluids.This research investigates the numerical modeling of a MHD non-linear radiative Maxwell nano fluid with activation energy. The study focuses on the effects of linear and nonlinear radiation, activation energy, and other physical parameters on the flow behavior of a non-Newtonian Maxwell fluid. The model incorporates the Arrhenius activation energy, which is crucial for chemical reactions, and accounts for the effects of Brownian motion, thermophoresis, and chemical reactions. The study uses the Explicit Finite Difference (EFD) method to solve the governing equations, which include the continuity, momentum, energy, and concentration equations. The numerical simulations are performed with custom code and the EFD method to analyze the fluid behavior, revealing intricate interactions between forces and fluid patterns. The model is tested for convergence and stability, with parameters such as ΔY = 0.25, Δτ = 0.0005, and ΔX = 0.20, showing convergence to the Lewis number (Le > 0.016) and Prandtl number (Pr > 0.08). The results include the skin friction coefficient, Sherwood number, Nusselt number, isothermal lines, and streamlines, which are analyzed to understand the impact of various physical factors on the fluid flow. The study highlights the significant role of thermal radiation and activation energy in enhancing heat and mass transfer in non-Newtonian fluids, with applications in medical and industrial fields, particularly in cancer treatment. The research demonstrates the superior performance of non-Newtonian solutions, especially in cases involving activation energy and nonlinear radiation, and provides insights into the complex interactions between fluid dynamics, heat transfer, and mass transport in Maxwell fluids.