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
8 affiliations
- 1Najaf Technical Institute, Al Furat Al Awsat Technical University
- 2Mamun University
- 3Urgench State University
- 4Kimyo International University in Tashkent
- 5National Research University TIIAME
- 6Tashkent State University of Economics
- 7Départment of renewable Energy Technology, College of Technology, University of Bamenda
- 8Department of Energetic, environment and Thermal engineering, UR-ISIE, IUT-FV Bandjoun, University of Dschang
Abstract
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 T4 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 ( Rd up to 3.0, θ 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 R2 = 0.9996 (MAPE = 0.38%) for skin friction and R2 = 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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BibTeX
@article{balla2026unsteady,
title = {{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}},
author = {Hyder Hassan Abd Balla and Sokhibjan Muminov and Sarvar Iskandarov and Yusufbay Yusupov and Saodatkhon Ibragimova and Otabek Djurabaev and Fohagui Fodoup Cyrille Vinceslas and Kohole Yemeli Wenceslas},
journal = {Scientific Reports},
year = {2026},
month = jul,
doi = {10.1038/s41598-026-60019-6},
url = {https://doi.org/10.1038/s41598-026-60019-6},
note = {CC BY},
}
RIS
TY - JOUR
TI - 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
AU - Hyder Hassan Abd Balla
AU - Sokhibjan Muminov
AU - Sarvar Iskandarov
AU - Yusufbay Yusupov
AU - Saodatkhon Ibragimova
AU - Otabek Djurabaev
AU - Fohagui Fodoup Cyrille Vinceslas
AU - Kohole Yemeli Wenceslas
PY - 2026
DA - 2026/07/01
JO - Scientific Reports
DO - 10.1038/s41598-026-60019-6
UR - https://doi.org/10.1038/s41598-026-60019-6
AB - 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 T4 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, θ _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 R2 = 0.9996 (MAPE = 0.38%) for skin friction and R2 = 0.991 (MAPE = 5.36%) for Nusselt number, providing design guidance for high-temperature fiber drawing, hot rolling, and thermal management.
SN - 2045-2322
ER -