A VARIATIONAL ANALYTICAL APPROACH TO TIME DEPENDENT FLOW OF OLDROYD B FLUID IN CIRCULAR TUBE  

作　　者：韩式方 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1995年第2期169-178,共10页应用数学和力学（英文版）

摘　　要：In the present investigation the time dependent flow of an Oldroyd fluid B in ahorizontal eylindrical pipe is stuided by the variational analytical approach developedby author. The tome dependent problem is mathematically reduced to a partialdifferential equation of third order. Using the improved variational approach due toKantorovich the partial differential equation can be reduced to a system of ordinarydifferential equations for different approximations. The ordinary differential equationsare solved by the method of the Laplace transform which is led to an analytical formof the solutions.In the present investigation the time dependent flow of an Oldroyd fluid B in ahorizontal eylindrical pipe is stuided by the variational analytical approach developedby author. The tome dependent problem is mathematically reduced to a partialdifferential equation of third order. Using the improved variational approach due toKantorovich the partial differential equation can be reduced to a system of ordinarydifferential equations for different approximations. The ordinary differential equationsare solved by the method of the Laplace transform which is led to an analytical formof the solutions.

关 键 词：Oldroyd fluid B. non-Newtonian fluid. time dependent flow.variational-analytical approach. improved approach dut toKantorovich 

分 类 号：O351[理学—流体力学]