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分数阶双参数Maxwell流体自然对流与传热传质的L1/有限体积法

The L1/Finite Volume Method for Natural Convective Heat and Mass Transfer of Double Fractional Maxwell Viscoelastic Fluid
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摘要 文章研究分数阶粘弹性流体的自然对流与传热传质问题.本构关系中引入分数阶双参数Maxwell模型,建立强耦合非线性的边界层控制方程组,并运用有限体积方法和分数阶L1格式进行求解,最后分析分数阶导数参数对数值结果的作用. Natural convective heat and mass transfer of fractional viscoelastic fluid are investigated in this paper.Double fractional Maxwell model is employed in the constitutive relation.Strongly coupled nonlinear boundary layer governing equations are formulated.Numerical solutions are obtained by finite volume method combined with fractional L1 scheme.The effects of fractional derivative parameters on numerical results are analyzed in the end.
作者 赵金虎 ZHAO Jinhu(School of Mathematics and Statistics,Fuyang Normal University,236037,Fuyang,Anhui,China)
出处 《淮北师范大学学报(自然科学版)》 CAS 2022年第2期1-6,共6页 Journal of Huaibei Normal University:Natural Sciences
基金 国家自然科学基金青年项目(12102093) 安徽省高等学校自然科学研究项目(KJ2020A0529,KJ2020A0540,KJ2019A0530) 安徽省高校领军人才引进与培育计划项目(gxfxZD2016170) 阜阳师范大学人才重点项目(rcxm202105)。
关键词 粘弹性流体 分数阶双Maxwell模型 有限体积方法 自然对流 viscoelastic fluid fractional double maxwell model finite volume method natural convection
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