A STUDY OF OVER-REFLECTION IN HARTMANN FLOW

被引:0
作者
PARHI, S [1 ]
NATH, G [1 ]
机构
[1] INDIAN INST SCI,DEPT MATH,BANGALORE 560012,KARNATAKA,INDIA
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS | 1995年 / 17卷 / 05期
关键词
D O I
10.1007/BF02451735
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is observed that Hartmann flow sustains wave propagation in its centre region for waves whose phase speed is less than the maximum flow speed. Similar to the previous observations it is found that viscous boundary layers around the critical level and at the wall replace the exponential regions and wave sinks required for over-reflection in the inviscid flow. The uniform magnetic field stabilizes the flow for small-wave-number disturbances along the z-direction. Over-reflection is confined to a few ranges of phase speeds for which the two boundary layers are close together rather than widely separated. These ranges correspond exactly to those for which unstable eigenmodes exist. Over-reflection is associated with a wave phase tilt opposite in direction to the shear.
引用
收藏
页码:473 / 487
页数:15
相关论文
共 19 条
[1]  
Cramer K.R., Shih-I, Magneto-Fluiddynamics for Engineers and Applied Physicists, (1973)
[2]  
Lindzen R.S., Stability of a Helmholtz Velocity Profile in a Continuously Stratified, Infinite Boussinesq Fluid—Applications to Clear Air Turbulence, Journal of the Atmospheric Sciences, 31, (1974)
[3]  
Lindzen R.S., Rosenthal A.J., On the instability of Helmholtz velocity profiles in stably stratified fluids when a lower boundary is present, Journal of Geophysical Research, 81, (1976)
[4]  
Lindzen R.S., Tung K.K., Wave Overreflection and Shear Instability, Journal of the Atmospheric Sciences, 35, (1978)
[5]  
Lindzen R.S., Farrell B., Tung K.K., J. Atmos Sci., 37, (1980)
[6]  
Lindzen R.S., Rosenthal A.J., J. Atmos. Sci., 38, (1981)
[7]  
Lindzen R.S., Rosenthal A.J., J. Atmos. Sci., 40, (1983)
[8]  
Rosenthal A.J., Lindzen R.S., J. Atmos. Sci., 40, (1983)
[9]  
Rosenthal A.J., Lindzen R.S., J. Atmos. Sci., 40, (1983)
[10]  
Parhi S., Nath G., Nuovo Cimento D, 13, (1991)