In engineering, Maxwell fluids are used to create viscoelastic  materials for products like absorbers of shock and dampers,          where energy dissipation and regulated stress relaxation are crucial.        In this computational investigation, we explored the thermal             analysis of cross-diffusion and radiation impact on the unsteady magnetohydrodynamic Darcy-Forchheimer movement and heat transmission of Maxwell nanofluids over a vertically stretched sheet with a uniform heat source/sink. Also, integrating viscous dissipation and Joule heating impacts provides the required novelty of this study. Furthermore, the Dufour effect is taken into account. Using similarity transformations, the partial differential equations are converted into ordinary differential equations. Through the usage of the 4th-order Runge-Kutta strategy in conjunction with the shooting approach, the numerical solutions are produced. The influence of physical factors  on momentum, temperature, concentration, friction drag, and rate of thermal and mass transport has been presented pictorially and in tabulated form. This study reported that the enhanced magnetic field and Darcy-Forchheimer declined the velocity. The rate of thermal transport is reduced for boosting the Schmidt number and Brownian motion factor. This investigation aids in improving industrial processes like petroleum extraction, chemical engineering, heat insulation, etc.

Maxwell fluid, MHD, nanofluid, Darcy-Forchheimer, cross-diffusion, chemical reaction, thermal radiation

Received: November 21, 2024;  Accepted: April 5, 2025; Published: June 9, 2025

How to cite this article: G. Gangadhar, K. Sharath Babu, V. Srinivasa Kumar and Diganta Bordoloi, Unsteady MHD Darcy-Forchheimer flow of Maxwell nanofluid past a stretching sheet with cross-diffusion, viscous dissipation, and Joule heating, JP Journal of Heat and Mass Transfer 38(3) (2025), 395-426. https://doi.org/10.17654/0973576325020

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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