Analytical Analysis of Flow in a Magnetohydrodynamic Pump (MHD)

2008 14th Symposium on Electromagnetic Launch Technology Pub Date : 2008-06-10 DOI:10.1109/ELT.2008.117

M. Ghassemi, H. Rezaeinezhad, A. Shahidian

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引用次数: 10

Abstract

The interaction of moving conducting fluids with electric and magnetic fields provides the magnetohydrodynamic (MHD) phenomenon. Based on this principle, MHD pump uses the "Lorentz Force" to move fluid. The railgun channel is one important segment in an electromagnetic launcher. As known one of the possible ways to increase the EML efficiency is to segment the working channel. For this purpose MHD flow study is necessary. It is required to have the knowledge of the flow field to design a magnetohydrodynamic pump. The purpose of this study is to analytically investigate the effect of Hartman number as well as magnetic and electrical angular frequency on the velocity distribution in a magnetohydrodynamic pump. To solve the governing differential equation, initially a velocity profile is guessed and then the Navier-Stokes is solved. Results show that as Hartman number approaches zero the velocity profile becomes similar to that of fully developed flow in a pipe. Furthermore, for frequency over 10pi rad/sec the flow can be treated as steady state. However below angular frequency of 10pi rad/sec velocity oscillates constantly. Therefore flow can not be treated as steady state.

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磁流体动力泵(MHD)内部流动的解析分析

运动的导电流体与电场和磁场的相互作用提供了磁流体动力学(MHD)现象。基于这一原理，MHD泵利用“洛伦兹力”来移动流体。轨道炮通道是电磁发射装置的重要组成部分。众所周知，提高EML效率的一种可能方法是对工作信道进行分段。为此，有必要进行MHD流动研究。设计磁流体动力泵需要具备流场方面的知识。本研究的目的是分析研究哈特曼数以及磁、电角频率对磁流体动力泵内速度分布的影响。为了求解控制微分方程，首先猜测速度剖面，然后求解纳维-斯托克斯方程。结果表明，当哈特曼数趋近于零时，速度分布与管道中充分发展的流动相似。此外，当频率超过10pi rad/sec时，流动可视为稳态。然而，低于10pi rad/秒的角频率，速度不断振荡。因此，流动不能被视为稳态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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2008 14th Symposium on Electromagnetic Launch Technology

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