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多孔介质中垂直圆柱内Casson流体热对流的瞬态分析:熵产和热能转移可视化 预览

Transient analysis of Casson fluid thermo-convection from a vertical cylinder embedded in a porous medium:Entropy generation and thermal energy transfer visualization
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摘要 随着多孔介质在过滤系统、多孔轴承、多孔隔热层、生物力学、地质力学等方面的应用日益广泛,多孔介质中的热传输引起了工程科学领域的广泛兴趣。基于上述应用,本文就熵产对Casson黏塑性流体在多孔介质中均匀加热垂直圆柱上的分层不可压缩边界层流动中传热和动量传递的影响进行了数值研究。采用Darcy定律模拟了各向同性均质多孔介质在低Reynolds数时的体阻力效应,并进行热线可视化。利用适当的变换变量,推导了数学模型并进行归一化。利用隐式有限差分法求解了具有相关边界条件的非线性时变耦合控制方程,该方法有效且无条件稳定。结果表明,随着Darcy数、Casson流体参数、群参数和Grashof数的增大,熵产和Bejan数均增大。除了流线和等温线外,绘制热线为分析二维区域内的传热过程提供了一种很好的方法。结果表明,随着Darcy数的增加,热壁之间的传热线偏差减小。 Thermal transport in porous media has stimulated substantial interest in engineering sciences due to increasing applications in filtration systems,porous bearings,porous layer insulation,biomechanics,geomechanics etc.Motivated by such applications,in this article,a numerical study of entropy generation impacts on the heat and momentum transfer in time-dependent laminar incompressible boundary layer flow of a Casson viscoplastic fluid over a uniformly heated vertical cylinder embedded in a porous medium is presented.Darcy’s law is used to simulate bulk drag effects at low Reynolds number for an isotropic,homogenous porous medium.Heat line visualization is also included.The mathematical model is derived and normalized using appropriate transformation variables.The resulting non-linear time-dependent coupled governing equations with associated boundary conditions are solved via an implicit finite difference method which is efficient and unconditionally stable.The outcomes show that entropy generation and Bejan number are both elevated with increasing values of Darcy number,Casson fluid parameter,group parameter and Grashof number.To analyze the heat transfer process in a two-dimensional domain,plotting heat lines provides an excellent approach in addition to streamlines and isotherms.It is remarked that as the Darcy number increases,the deviations of heat lines from the hot wall are reduced.
出处 《中南大学学报:英文版》 SCIE EI CAS CSCD 2019年第5期1342-1361,共20页 Journal of Central South University of Technology
基金 DST-INSPIRE (Code No. IF160028) for the grant of research fellowship.
关键词 垂直圆柱 熵产 Casson流体 有限差分法 热方程 多孔介质 vertical cylinder entropy generation Casson fluid finite difference method heat function porous medium
作者简介 Corresponding author: JANARDHANA REDDY G, PhD, Assistant Professor;Tel:+91-9491472461;E-mail: gjr@cuk.ac.in.
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