当前位置: X-MOL 学术Phys. Scripta › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Modeling and analysis of high shear viscoelastic Ellis thin liquid film phenomena
Physica Scripta ( IF 2.6 ) Pub Date : 2021-02-20 , DOI: 10.1088/1402-4896/abe4f2
M Kamran Alam 1 , K N Memon 2 , A M Siddiqui 3 , S F Shah 4 , Muhammad Farooq 5 , Muhammad Ayaz 5 , Taher A Nofal 6 , Hijaz Ahmad 7
Affiliation  

In this paper, the Steady state thin layer flow of a viscoelastic Ellis fluid in contact with a vertical cylinder for drainage and lift problems is examined. Closed form solutions are obtained from the resulting differential equation using the well known binomial series technique. Furthermore, during the analysis of high shear viscoelastic Ellis liquid film, special cases including power law, Bingham plastic and Newtonian fluid film have been retrieved. The Physical quantities such as vorticity vector, thickness about the fluid film, flow rate and average velocity have been investigated for both the lift and drainage physical phenomena. The Thickness of the Ellis fluid film on cylindrical surfaces has been calculated. The velocity profiles for the phenomena are graphically sketched and during the study it is investigated that at the high shear rates the model reduces to the power law model and adequately low shear stress the model reduces to a Newtonian model. From the results it is noticed that, with increase in α and R, velocity increases for drainage case while decreases for lift case. Velocity profile for Newtonian and Bingham plastic fluids is calculated and it is observed that, the drainage velocity profile has increasing effect with the increase of r and has reverse effect for lift case with increasing r. The variation of n for power law model in drainage and lift have been plotted, where it is investigated that velocity of fluid layer grow up.



中文翻译:

高剪切粘弹性埃利斯薄液膜现象的建模与分析

在本文中,研究了与垂直圆柱体接触的粘弹性埃利斯流体的稳态薄层流动,以解决排水和升力问题。使用众所周知的二项式级数技术,可以从所得的微分方程中获得封闭形式的解。此外,在对高剪切粘弹性埃利斯液体薄膜进行分析时,还发现了幂律,宾汉塑料和牛顿液体薄膜等特殊情况。对于升力和排水的物理现象,已经研究了诸如涡旋矢量,液膜厚度,流速和平均速度等物理量。已计算出圆柱表面上的Ellis流体膜的厚度。图形化地描绘了现象的速度分布图,并在研究过程中研究了在高剪切速率下,该模型减小为幂律模型,而在足够低的剪应力下,该模型减小为牛顿模型。从结果可以看出,随着αR,对于排水情况,速度增加,而对于提升情况,速度下降。计算了牛顿和宾汉塑性流体的速度分布,观察到,排水速度分布随着r的增加具有增加的作用,而对于提升情况则随着r的增加具有相反的作用。绘制了幂律模型在排水和扬程中的n的变化,研究了流体层速度的增长。

更新日期:2021-02-20
down
wechat
bug