On the falling of objects in non-Newtonian fluids

作者: R. Bandelli , K. R. Rajagopal

DOI: 10.1007/BF02834513

关键词: Parallel plateFalling (sensation)MechanicsLaplace transformTube (fluid conveyance)LaminaNon-Newtonian fluidNumerical analysisPhysicsCylinder

摘要: The falling of a lamina in between two parallel plates containing fluid second grade is studied. velocity the and are determined by solving mixed initial—boundary value problem using Laplace transform. Explicit exact solutions obtained for fluid. Next, cylinder tube analyzed transform, once again found.

参考文章(18)
Francis Begnaud Hildebrand, Advanced Calculus for Applications ,(1962)
T. A. A. B., H. S. Carslaw, J. C. Jaeger, Operational methods in applied mathematics The Mathematical Gazette. ,vol. 26, pp. 50- ,(1942) , 10.2307/3606040
John Happel, Howard Brenner, Low Reynolds number hydrodynamics ,(1965)
Giovanni P. Galdi, Ad�lia Sequeira, Further existence results for classical solutions of the equations of a second-grade fluid Archive for Rational Mechanics and Analysis. ,vol. 128, pp. 297- 312 ,(1994) , 10.1007/BF00387710
R. Bandelli, K.R. Rajagopal, Start-up flows of second grade fluids in domains with one finite dimension International Journal of Non-linear Mechanics. ,vol. 30, pp. 817- 839 ,(1995) , 10.1016/0020-7462(95)00035-6
J.E. Dunn, K.R. Rajagopal, Fluids of differential type: Critical review and thermodynamic analysis International Journal of Engineering Science. ,vol. 33, pp. 689- 729 ,(1995) , 10.1016/0020-7225(94)00078-X
G. P. Galdi, M. Padula, K. R. Rajagopal, On the conditional stability of the rest state of a fluid of second grade in unbounded domains Archive for Rational Mechanics and Analysis. ,vol. 109, pp. 173- 182 ,(1990) , 10.1007/BF00405241