Abstract

This work investigates advanced heat transfer mechanisms in boundary-layer flow of nanofluids over a stretchable sheet. The comprehensive model integrates radiation effects, Brownian motion, thermophoresis, Cattaneo-Christov heat flux and Magnetohydrodynamics (MHD). Nanofluids, composed of a base fluid with suspended nanoparticles, exhibit distinct thermophysical properties crucial for influencing heat and mass transfer dynamics. Through rigorous numerical analysis, key parameters such as nanoparticle volume fraction, stretching sheet velocity, Cattaneo-Christov parameter, radiation parameter, and magnetic field strength are examined. The findings reveal intricate interactions among these parameters, providing a thorough understanding of their combined impact on temperature and velocity characteristics inside the boundary layer. This research contributes significantly to fundamental knowledge in nanofluid dynamics and provides practical insights for optimizing heat transfer processes and fluid behavior over-stretching surfaces, especially in the context of advanced heat transfer mechanisms. The implications extend across diverse engineering disciplines and materials science, offering valuable guidance for designing and improving processes involving nanofluid flows over-stretching sheets. With respect to the magnetic field parameter, the fluid velocity exhibits a decreasing attitude.The temperature function enhances with higher R\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathcal{R}$$\\end{document} values but diminishes with increasing Pr\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathcal{P}\\mathcalligra{r}$$\\end{document} values.

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