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Unsteady boundary-layer flow and radiative heat transfer over a deformable stretching cylinder with transpiration and slip: cross-validated Akbari-Ganji and finite-element solutions

Hyder H. BallaNajaf Technical Institute, Al Furat Al Awsat Technical University, Najaf, IraqSokhibjan MuminovMamun University, Bolkhovuz Street 2, Khiva, 220900, UzbekistanSarvar IskandarovUrgench State University, Kh. Alimdjan str. 14, Urgench, 220100, UzbekistanYusufbay YusupovKimyo International University in Tashkent, Shota Rustaveli str. 156, Tashkent, 100121, UzbekistanSania IbragimovaNational Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, UzbekistanOtabek DjurabaevTashkent State University of Economics, Tashkent, 100066, UzbekistanFohagui Fodoup Cyrille VinceslasDépartment of renewable Energy Technology, College of Technology, University of Bamenda, Bamenda, Cameroon. [email protected]Kohole Yemeli WenceslasDepartment of Energetic, environment and Thermal engineering, UR-ISIE, IUT-FV Bandjoun, University of Dschang, P.O Box 134, Bandjoun, Cameroon

2026en

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Litsenziya: cc-by-nc-nd

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Annotatsiya

A self-similar framework is developed for unsteady boundary-layer flow and nonlinear radiative heat transfer over a deformable stretching cylinder with uniform transpiration, velocity/thermal slip, and full T 4 Rosseland radiation. The governing PDEs are reduced to coupled similarity ODEs solved by two independent routes, Akbari–Ganji Method (AGM) with Chebyshev collocation and finite-element method (FEM) with quadratic Lagrange elements, cross-validated against a boundary-value reference within 0.5% for skin friction and 1.2% for Nusselt number. AGM achieves 12–16× computational speedup over FEM. Suction (S = 0.7) increases skin friction by a factor of 3.1 relative to blowing and raises Nusselt number by 74%. Nonlinear radiation ( \(\:{R}_{d}\) up to 3.0, \(\:{\theta\:}_{w}\) up to 2.0) reduces the convective wall temperature gradient due to enhanced effective radiative conductivity, while the total heat-transfer index, including the radiative contribution, increases within the studied parameter range. Velocity slip (λ = 0.5) reduces skin friction by 41%, while thermal slip produces a modest 5% Nusselt reduction. Unsteadiness (A up to 1.0) amplifies wall shear by 61% and heat transfer by 107%, with strong suction synergy. Within 0.5 ≤ Pr ≤ 50, a fitted empirical relationship between heat transfer and the Prandtl number is observed, with a problem-specific exponent of approximately 0.55; this exponent should not be interpreted as a universal scaling law. Radiation modifies the energy equation and couples with conductive and convective transport, although its influence can be approximated by a multiplicative correction factor within the studied parameter range. Compact correlations achieve R 2 = 0.9996 (MAPE = 0.38%) for skin friction and R 2 = 0.991 (MAPE = 5.36%) for Nusselt number, providing design guidance for high-temperature fiber drawing, hot rolling, and thermal management.

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DOI: 10.1038/s41598-026-60019-6

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