Qin Kairong, Jiang Weiyuan, Li Xixi, Liu Zhaorong. On Analysis of the Steady Flow in an Irrectangular Parallel-Plate Flow Chamber[J]. Applied Mathematics and Mechanics, 1998, 19(9): 791-798.
Citation:
Qin Kairong, Jiang Weiyuan, Li Xixi, Liu Zhaorong. On Analysis of the Steady Flow in an Irrectangular Parallel-Plate Flow Chamber[J]. Applied Mathematics and Mechanics, 1998, 19(9): 791-798.
Qin Kairong, Jiang Weiyuan, Li Xixi, Liu Zhaorong. On Analysis of the Steady Flow in an Irrectangular Parallel-Plate Flow Chamber[J]. Applied Mathematics and Mechanics, 1998, 19(9): 791-798.
Citation:
Qin Kairong, Jiang Weiyuan, Li Xixi, Liu Zhaorong. On Analysis of the Steady Flow in an Irrectangular Parallel-Plate Flow Chamber[J]. Applied Mathematics and Mechanics, 1998, 19(9): 791-798.
The parallel-plate flow chamber (PPFC),of which the height is far smaller than its own length and width,is one of the main apparatus for the in vitro study of the mechanical behaviors of cultured cells at the bottom of PPFC undergoing shear stress.The PPFC of which the upper and lower plates are rectangular is usually used by research workers,and the flow field in this kind of PPFC (except for the regions near the entrance and exit) is uniform[1],so only the effect the shear stress with one value has on cultured cells can be observed during each experiment.A kind of PPFC of which the upper and lower plates are not rectangular is proposed in this paper.The distributions of the velocities inside and the shear stresses at the bottom of the chamber are given by analyzing the flow field of the steady flow in the PPFC.The results show that the mechanical behaviors of cultured cells undergoing the shear stresses with various values may be simultaneously observed by the use of this kind of irrectangular PPFC.The theoretical and experimental results obtained by the use of Ultrasonic Doppler show good agreement.
J.A.Frangos,et al.,Shear stress induced stimulation of mammalian cell metabolism,Biotechn ology and Bioen gineering,32(10) (1988),1053-1060.
[3]
Daniel A.Hammer,Dynamics of cell adhesion under hydrodynamic flow,Proceedings of the Fourth China -Japan -USA-Singa pore Conference on Biomechanics,International Academic Publishers,Beijing (1995),425-428.
R.Thomas Davis,Numerical methods for coordinate generation based on a mapping technique,J.A.Essers Ed.Computational Methods for Turbulent,Transonic,and Viscous Flows,Hemisphere Publishing Corporation (1983).