FRACTAL MODEL OF POROUS FIN WITH TEMPERATURE-DEPENDENT HEAT GENERATION AND ITS NOVEL SOLUTION

DOI10.1142/S0218348X21502248zbMath1482.80002OpenAlexW3184993614MaRDI QIDQ5025364

Yasir Khan

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21502248

zbMATH Keywords

heat generationthermal analysisfractal-fractional calculusSierpinski fractalMaclaurin series method (MSM)porous fins

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33) Fractals (28A80) Approximation to limiting values (summation of series, etc.) (40A25) Numerical summation of series (65B10) Fractional partial differential equations (35R11) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (1)

Analytical solutions for solving unsteady flow of gas through a porous medium by using auxiliary functions method

Cites Work

• An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations
• Three-dimensional lattice Boltzmann simulations of high density ratio two-phase flows in porous media
• Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method
• Differential transform method for solving Volterra integral equation with separable kernels
• The universal Blasius problem: new results by Duan-Rach Adomian decomposition method with Jafarimoghaddam contraction mapping theorem and numerical solutions
• MACLAURIN SERIES METHOD FOR FRACTAL DIFFERENTIAL-DIFFERENCE MODELS ARISING IN COUPLED NONLINEAR OPTICAL WAVEGUIDES

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