多重尺度法在椭圆管道磁流体动力流中的应用

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

An Application of the Method of Multiple Scales to Magnetohydrodynamic Flow

摘要: 本文研究不可压缩可导流体沿一均匀磁场中的椭圆管道的流动.在Hartmann数是充分大的情形下,应用多重尺度法,作出解的准确到任意量级的渐近近似式.本方法可用于研究截面具有光滑周界的,任意形状管道的磁流体动力流.

Abstract: In this paper we study the flow of an incompressible conducting fluid along an elliptic duct imposed in an uniform magnetic field. In case Hartmann number of the flow is sufficiently large, the method of multiple scales is adopted for constructing the asymptotic approximation of solution up to any order. Our method can also be applied to study the magnetohydro-dynamic flow along any duct whose cross section has smooth boundary.

[1]	Hunt..C.R.and Stewartson,K.,Magnetohydrodynamic flow in rectangular ducts,J.Fluid Mech.,Ⅱ,23,3(1965),563-581.
[2]	江福汝,关于边界层方法,应用数学和力学,2.5(1981),461-474.
[3]	Jiang,F.R.,On the boundary layer method,Applied Mathematics and Mechanics,2,5,(1981),505-518.
[4]	Gold,R.R.,Magnetohydrodynamic pipe flow,Part 1,J.Fluid Mech.,13,4(1962),505-512.
[5]	Shercliff.J.A.,Magnetohydrodynamic pipe flow,Part 2:High Hartmann number,J.Fluid Mech.,13,4(1962),513-518.