Unsteady Undirectional MHD flow of Second Grade Fluids Flowing between Two Parallel Surfaces for Variable Volume Flow Rate

磁性二階流體在平行管道受時變體積流率下之流動特性分析

林吟威(Yin-Wei Lin) ； 陳俊益(Chun-I Chen) ； 陳邦旭(Bang-Shiuh Chen)

《中國機械工程學刊》 35卷1期 (2014/02) Pp. 92-98

摘要

本研究旨在探討磁性二階流體在平行管道受時變流率變化之流動特性分析，本文採用拉普拉斯轉換法以求解非穩定流體之速度分布以及壓力梯度。本文中分析四種不同的流動行為，分別為突然起動之流動、等加速度流動、線性加速度流動以及振動流動。

並列摘要

In this research, the flow motion in a micro-tube is induced by a prescribed arbitrary inlet volume flow rate condition which varies with time. In order to solve analytically the velocity profile and pressure gradient of the unsteady unidirectional slip flow of Voigt fluid, Laplace transform method is adopted in this research. Four ideally designed given inlet flow rate conditions are given to find out the corresponding analytic solutions. These flow rate conditions are a suddenly started flow, a constant acceleration flow, linear acceleration flow, and oscillatory flow, respectively.

並列關鍵字

Laplace transform ； Voigt fluid ； micro-tube ； velocity profile ； pressure gradient