Semi-Analytical Solution of Energy and Momentum Equations With Robin's Boundary Conditions in a Microchannel Flow

Ali Fooladvand, S. S. Nourazar, A. Nazari-Golshan and Masoud Rabeti

Journal of Applied Mathematics, 2026, vol. 2026, 1-14

Abstract: In this study, the nonlinear momentum and energy equations governing magnetohydrodynamic microchannel flow are solved under a Robin-type slip boundary condition. To impose the mixed boundary conditions directly in the semi-analytical construction, the Adomian decomposition method (ADM) is combined with the Fourier transform. The integration-by-parts operations in the Fourier domain make the boundary terms explicit and enable the Dirichlet, Neumann, and Robin-type slip conditions to be incorporated into the recursive FTADM solution. The velocity and temperature solutions are validated against fourth-order Runge–Kutta computations for the nonlinear magnetohydrodynamic Jeffery–Hamel microchannel formulation. The comparisons show excellent agreement, with maximum discrepancies of the order of  10−5 for the tested cases. The results further demonstrate the influence of the channel angle and Hartmann number on the velocity and heat-transfer behavior while retaining a compact semi-analytical representation of the solution.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:1677092

DOI: 10.1155/jama/1677092

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