Dual Role of Wall Slip on Linear Stability of Plane Poiseuille Flow
REN Ling1,3, CHEN Jian-Guo2, ZHU Ke-Qin3
1Department of Thermal Engineering, University of Science and Technology Beijing, Beijing 1000832Department of Engineering Physics, Tsinghua University, Beijing 1000843Department of Engineering Mechanics, Tsinghua University, Beijing 100084
Dual Role of Wall Slip on Linear Stability of Plane Poiseuille Flow
REN Ling1,3;CHEN Jian-Guo2;ZHU Ke-Qin3
1Department of Thermal Engineering, University of Science and Technology Beijing, Beijing 1000832Department of Engineering Physics, Tsinghua University, Beijing 1000843Department of Engineering Mechanics, Tsinghua University, Beijing 100084
摘要The linear stability of plane Poiseuille flow is extended to the cases of two wall boundaries maintaining different slip coefficients β1 and β2. We determine the slip coefficient pairs, β1c and β2c, which yield the same critical Reynolds number as the classical no-slip case. It is found that the wall slip may stabilize the flow for β1>β1c and β2>β2c, whereas slightly destabilize the flow for β1<β1c and β2<β2c.
Abstract：The linear stability of plane Poiseuille flow is extended to the cases of two wall boundaries maintaining different slip coefficients β1 and β2. We determine the slip coefficient pairs, β1c and β2c, which yield the same critical Reynolds number as the classical no-slip case. It is found that the wall slip may stabilize the flow for β1>β1c and β2>β2c, whereas slightly destabilize the flow for β1<β1c and β2<β2c.
REN Ling;CHEN Jian-Guo;ZHU Ke-Qin. Dual Role of Wall Slip on Linear Stability of Plane Poiseuille Flow[J]. 中国物理快报, 2008, 25(2): 601-603.
REN Ling, CHEN Jian-Guo, ZHU Ke-Qin. Dual Role of Wall Slip on Linear Stability of Plane Poiseuille Flow. Chin. Phys. Lett., 2008, 25(2): 601-603.
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2008, Vol. 25 
