Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow

作     者：Chen YIN Chunwu WANG Shaowei WANG Chen YIN;Chunwu WANG;Shaowei WANG

作者机构：College of ScienceNanjing University of Aeronautics and AstronauticsNanjing 210016China Department of Engineering MechanicsSchool of Civil EngineeringShandong UniversityJinan 250061China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2020年第41卷第11期

页      面：1631-1650页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11702135,11271188,and 11672164) the Natural Science Foundation of Jiangsu Province of China(No.BK20170775) the China Postdoctoral Science Foundation(No.2016M601798) the Jiangsu Planned Project for Postdoctoral Research Funds of China(No.1601169B) 

主　　题：viscoelastic fluid thermal convection Poiseuille flow fluid-porous system 

摘      要：The thermal convection of a Jeffreys fluid subjected to a plane Poiseuille flow in a fluid-porous system composed of a fluid layer and a porous layer is studied in the paper.A linear stability analysis and a Chebyshevτ-QZ algorithm are employed to solve the thermal mixed *** the case in a single layer,the neutral curves of the two-layer system may be bi-modal in the proper depth ratio of the two *** find that the longitudinal rolls(LRs)only depend on the depth *** the existence of the shear flow,the effects of the depth ratio,the Reynolds number,the Prandtl number,the stress relaxation,and strain retardation times on the transverse rolls(TRs)are also ***,the thermal instability of the viscoelastic fluid is found to be more unstable than that of the Newtonian fluid in a two-layer *** contrast to the case for Newtonian fluids,the TRs rather than the LRs may be the preferred mode for the viscoelastic fluids in some cases.