生物反應器是提供細胞、組織在體外培養時所需要的環境，藉由生物反應器所提供不同的機械刺激來進行細胞組織的培養，而剪切力為其中的一項機械刺激，在能提供剪切力的生物反應器中，圓錐平板型生物反應器已為廣泛使用。
本篇論文是使用圓錐平板型生物反應器，來探討主流場下的剪切力，在此不同以往研究；圓錐旋轉不再是單向性旋轉，而是具有週期性變化的旋轉，藉此更能接近血液脈動的情形。此外本篇也藉由改變不同的圓錐角來探討邊界效應對剪切力的影響。在本文中，主要是採用數值方法來分析，並藉由解析方法來驗證其正確性。

The flow between a shallow cone and a stationary plate has been drawing many research efforts in the designing of shear-loading bioreactors, but the concept with a cone rotating periodically is first proposed in this paper. How the stress in the plate being influenced by the periodically rotating cone periodically and the cone angle variation is investigated.
In this paper we find two parameter which can influence the stress in the plate; one is the parameter which is related to the frequency of the cone repeatedly and the other is the parameter which is related to cone angle.

1. Brown, T. D., 2000, Techniques for mechanical stimulation of cells in virto: a review. J. Biomech. 33, 3-14.
2. Bussolari, S. R., Dewey, C. F. & Gimbrone, M. A.,1982, Apparatus for subjectingliving cells to fluid shear stress. Rev. Sci. Instrum. 53(12), 1851-1854.
3. Cox, D. B., 1962, Radial flow in the cone-plate viscometer. Nature, 193,670.
4. Dewey, C. F., Bussolari, S. R., Gimbrone, M. A.& Davies, P. F., 1981, The dynamic response of vascular endothelial cells to fluid shear stres. J. Biomech. Eng. 103, 177-185.
5. Einav S, Dewey C. F. & Hartenbaum H, 1994 , C-Plate apparents:a compact system for studying well-characterized turbulent flow fields, Exp in Fluids. 16,196-202
6. Einav S & Grad Y 1999, Spectral and instantaneous flow field characteristics of the laminar to turbulent transition in a cone and plate apparatus, Exp in Fluids, 28, 336-343
7. Hochleitner B. W. et al. 2000, Fluid Shear Stress Induces Heat Shock Protein 60 Expression in Endothelial Cells In Vitro and In Vivo, Arterioscler Thromb Vasc Biol. 20, 617-623
8. John C. T.,Dale A. A. & Richard H. P. Computational fluid mechanics and heat transfer, second edition. Taylor & Francis, 1997
9. Mazumdar J. N., Biofluid Mechanics
10. Michael C. Wendl, 2001, Mathematical analysis of coaxial disk cellular shear loading devices. American institute of physics. 72, 4212-4217
11. McKinley, G. H., Oztekin, A., Byars, J. A. & Brown, R. A., 1995, Self-similar instabilities in elastic flows between a cone and a plate. J. Fluid Mech. 285, 123-164.
12. Miller, C. E. & Hoppmann, W. H., 1963 Velocity field induced in a liquid by a rotating cone. In Proc. 4th intl congr. On Rheology,Part 2, pp. 619-635. Interscience.
13. Mooney, M. & Ewart, R. H.,1934, The conicylindrical viscometer. Physis, 5, 350-354.
14. Olagunju, D. O. & Cook, L. P.,1993, Secondary flow in cone and plate flow of an Oldroyd-B fluid. J. Non-Newtonian Fluid Mech. 46, 29-47.
15. Pelech, I. & Shapiro, A. H., 1967, Flexible disk rotating on a gas film next to a wall. Trans. ASME E: J. Appl. Mech. 31, 577-584
16. Sdougos, H. P., Bussolari, S. R. & Dewey, C. F., 1984, Secondary flow and turbulence in a cone-and-plate device. J. Fluid Mech. 138, 379-404.
17. Walters, K. & Waters, N. D., 1966, Polymer systems, deformation
and flow. In Proc. Brit. Soc. Rheol. (ed. R. E. Wetton & R. W.
Whorlow). Macmmillan
18. White F. M., Viscous fluid flow, second edition. McGraw-Hill, Inc.1991