Unsteady longitudinal flow of a generalized Oldroyd-B fluid in cylindrical domains
Unsteady longitudinal flow of a generalized Oldroyd-B fluid in cylindrical domains
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DOI：
10.1016/j.cnsns.2010.10.006
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发表时间：
2011-07
影响因子：
3.9
通讯作者：
M. Nazar;Q. Sultan;M. Athar;M. Kamran
中科院分区：
文献类型：
--
作者：
M. Nazar;Q. Sultan;M. Athar;M. Kamran
考虑分数导数模型，用有限Hankel变换和Laplace变换研究了Oldroyd-B流体在两个无限长同轴圆柱间的非定常流动。该运动是由内筒产生的，内筒在时间t=0+时受到随时间变化的纵向剪应力。用广义G和R函数表示的级数形式的解满足所有附加的初始条件和边界条件。作为一般解的极限情况，给出了一般Oldroyd-B流体、广义Maxwell流体和普通Maxwell流体以及牛顿流体的相应解。文中用图形说明了有关参数对流体运动的影响以及模型之间的比较。
Considering a fractional derivative model the unsteady flow of an Oldroyd-B fluid between two infinite coaxial circular cylinders is studied by using finite Hankel and Laplace transforms. The motion is produced by the inner cylinder which is subject to a time dependent longitudinal shear stress at time t=0+. The solution obtained under series form in terms of generalized G and R functions, satisfy all imposed initial and boundary conditions. The corresponding solutions for ordinary Oldroyd-B, generalized and ordinary Maxwell, and Newtonian fluids are obtained as limiting cases of our general solutions. The influence of pertinent parameters on the fluid motion as well as a comparison between models is illustrated graphically.