Velocity and shear stress for an Oldroyd-B fluid within two cylinders

Boundary value problems

Shin Min Kang¹  Young Chel Kwun²  Muhammad Athar³  Muhammad Danial Hisham³  Waqas Nazeer³ 

[1] Department of Mathematics and RINS, Gyeongsang National University, Jinju, Korea;Department of Mathematics, Dong-A University, Busan, Korea;Division of Science and Technology, University of Education, Lahore, Pakistan

关键词: Oldroyd-B fluid;    velocity field;    shear stress;    rotational oscillatory flow;    Laplace and Hankel transforms;   

DOI  :  10.1186/s13661-016-0541-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper aims to explore the possible solutions for the movement of an Oldroyd-B fluid placed under certain conditions, i.e. the fluid is present within two cylinders, which are coaxial and oscillating within. Having said that the governing model will be an Oldroyd-B fluid, we wish to achieve our goal of finding the velocity and shear stress by using some common transformations, namely the Laplace transformation and the Hankel transformation. The final results, for the sake of simplicity, will be expressed in the form of generalized G-function and they satisfy all imposed initial and boundary conditions.

【 授权许可】

CC BY