UNSTEADY FLOWS OF A GENERALIZED SECOND GRADE FLUID WITH THE FRACTIONAL DERIVATIVE MODEL BETWEEN TWO PARALLEL PLATES
UNSTEADY FLOWS OF A GENERALIZED SECOND GRADE FLUID WITH THE FRACTIONAL DERIVATIVE MODEL BETWEEN TWO PARALLEL PLATES作者机构:1 Department of Mechanics and Engineering Science & State Key Laboratory for Turbulence and Complex System ResearchPeking UniversityBeijing 100871China Institute of Mathematics and Systematical ScienceShandong UniversityJinan 250100China
出 版 物:《Acta Mechanica Sinica》 (力学学报(英文版))
年 卷 期:2004年第20卷第5期
页 面:471-476页
核心收录:
学科分类:080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学(可授工学、理学学位)]
基 金:The project supported by the National Natural Science Foundation of China (10372007 10002003) and CNPC Innovation Fund
主 题:fractional derivative unsteady flows generalized second grade fluid parallel plates
摘 要:The fractional calculus approach in the constitutive relationship model of a generalized second grade fluid is *** analytical solutions are obtained for a class of unsteady flows for the generalized second grade fluid with the fractional derivative model between two parallel plates by using the Laplace transform and Fourier transform for fractional *** unsteady flows are generated by the impulsive motion or periodic oscillation of one of the *** addition,the solutions of the shear stresses at the plates are also determined.