Heat and Mass Transfer in Porous Media
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Abstract
Abstract
Abstract The eigenfunction superposition method is established for unsteady porous medium flow in long ducts of arbitrary cross section. The method utilizes the eigenfunctions of the Helmholtz equation to solve the Darcy–Brinkman equation. The method is much simpler than traditional separation of variables or Laplace transform, and the result can be expressed in simple summations. The unsteady flow in an isosceles right triangular duct, studied for the first time, is presented as an illustration.
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@article{Wang2026Unsteady,
title = {Unsteady Darcy–Brinkman Flow in Ducts of Arbitrary Cross Section},
author = {C. Y. Wang},
journal = {Journal of Engineering Mechanics},
year = {2026},
doi = {10.1061/jenmdt.emeng-9065},
url = {https://doi.org/10.1061/jenmdt.emeng-9065}
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