摘要
双板滑移对不可压缩黏弹性磁流体流动的影响,由分数阶本构方程和不可压缩流体动量方程,建立了控制方程,利用黎曼-刘维尔分数阶导数的拉普拉斯变换方法,得出流体速度和剪切力的解析解,讨论了分数阶导数参数、哈德曼数、滑移系数等对流体速度的影响.
An analysis is discussed for the MHD flow of a viscoelastic incompressible fluid due to two infinite accelerating plates with the effect of double slip-plate. Combining with a new fractional order constitutive model and the momentum equation of incompressible fluid,the governing equationis are established. The solutions for velocity and shear stress are obtained by using Laplace transform method of Riemann-liouvillefractional derivative. Furthermore, the effects of several parameters including the fractional parameters,the Hardman number and slip coefficient on the flow are discussed and presented graphically.
出处
《北京建筑大学学报》
2015年第4期65-71,共7页
Journal of Beijing University of Civil Engineering and Architecture
基金
国家自然科学基金(21206009)
