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23 articles for “Heat Equation”
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Coupled Magneto–Thermal–Diffusion Transport in an Unsteady Maxwell Polymer Fluid with Activation Energy over a Porous Stretching Surface
Abstract: The present study investigates the combined effects of activation energy and diffusion-thermo (Dufour) processes on unsteady magnetohydrodynamic (MHD) flow, heat, and mass transfer of a Maxwell viscoelastic fluid past a porous exponentially stretching vertical sheet. The electrically conducting and incompressible polymeric fluid flows through a saturated porous medium under a transverse magnetic field. The governing momentum, energy, and concentration equations are transformed into nonlinear ordinary differential equations using similarity transformations …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 581–590 Read article
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Implementation of the Tridiagonal Matrix Algorithm (TDMA) in C: A Practical Approach
Abstract: This paper presents a practical implementation of the tridiagonal matrix algorithm (TDMA), also known as the Thomas algorithm, using the C programming language. The TDMA is a commonly used algorithm for solving systems of linear equations where the coefficient matrix is tridiagonal. The paper draws a detailed step-by-step process of the algorithm’s development, from forward elimination to backward substitution, with a focus on minimizing computational difficulty compared to standard Gaussian …
Published in Recent Trends in Programming languages · Vol. 11, Issue 3, 2024 · pp. 36–43 Read article
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MHD-Assisted Flow Regulation of Viscoelastic Polymer Fluids for Industrial Cooling and Composite Fabrication with Isotherml Plates
Abstract: This study investigates the magnetohydrodynamic (MHD) regulation of viscoelastic polymer fluid flow over a permeable plate, emphasizing its relevance to industrial cooling and composite fabrication. An incompressible, electrically conducting viscoelastic fluid is analyzed under a transverse magnetic field with Hall and ion-slip effects to capture electromagnetic alterations in polymer transport. The governing non-dimensional equations for momentum, temperature, and concentration are solved analytically using the perturbation method. The results show that …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 851–866 Read article