| Explicit analytical solutions fof transport equations considering non-Fourier and non-Fick effects in porous media |
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| 作者姓名： | GOU Chenhua CAI Ruixian* and ZHANG Na |
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| 作者单位： | 1. Institute of Engineering Thermophysics，Chinese Academy of Sciences，Beijing 100080，China; 2. Graduate School，Chinese Academy of Sciences，Beijing 100080，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(GrantNo.50246003)andtheMajorStateBasicResearchDevelopmentProgramofChina(GrantNo.G20000263) |
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| 摘 要： | Dryingprocessinporousmediawidelyexistsin manyfieldssuchasenergy,chemistry,biology,medicineandarchitectonics.Researchesintothiskind ofphenomenonaretraditionallybasedonFourierlaw andFicklaw.Thesetwolawsincludethehypotheses ofinfinitepropagationofheatandmassdisturbance,respectively.Suchanapproximateapproachisprecise enoughfortheconventionalunsteadyheatandmass transfer.However,forhighintensiveandrapiddry ingprocess,itcouldleadtoerrorstosomeextent.Therefore,itisnecessarytoconsiderthenon linearrel…
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Explicit analytical solutions fof transport equations considering non-Fourier and non-Fick effects in porous media |
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| Abstract: | Based on the method of separation variables with addition developed in recent years, new methods of separation variables are proposed, and two algebraically explicit analytical solutions to the general partial differential equation set of non-Fourier and non-Fick heat and mass transfer in porous media drying are derived. The physical meaning of these solutions is simple and clear, and they are valuable for computational heat and mass transfer as benchmark solutions. |
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| Keywords: | non-Fourier effects non-Fick effects porous media heat and mass transfer analytical solution |
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