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

• 作者: Chen YIN Chunwu WANG Shaowei WANG
• 来源期刊: 应用数学和力学（英文版）
• 学科: 物理学
• 年，卷（期）: 2020,（11）
• 页码范围: 1631-1650
• 页数: 20页
• 分类号: O35
• 语种: 英文

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 Chebyshev τ-QZ algorithm are employed to solve the thermal mixed convection.Unlike 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 layers.We find that the longitudinal rolls (LRs) only depend on the depth ratio.With 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 studied.Additionally,the thermal instability of the viscoelastic fluid is found to be more unstable than that of the Newtonian fluid in a two-layer system.In 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.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Chen YIN		1	0	0.0	0.0
2	Chunwu WANG		1	0	0.0	0.0
3	Shaowei WANG		1	0	0.0	0.0