关键词: orthogonal function method, nonlinearity, oseillation characteristies, eigenequations, power law fluid, eccentric annular space, helical flow, Binghamfluid

Abstract: Mani problems in petroleum and chemical industry can be reduced to the solutions of the helical flow of Non-newtonian fluid in eccentric annular space This paper studies the flow law of the laminar helical flow of the power law fluid and Bingham fluid in eccentric annular space and the determination of the flow state Intheory, by the priciple of the fluid mechanics with methematical methods based on our theory of the helical flow in concentric annular space and through the infinite subdivision method for the flow field of eccentric annular space helical flow the .apparent viscosity distribution the velocity distribution the flow rqte and the pressure drop equation of the .field cat be given. and then the stability parameter.characterizing the transition from laminar to turbulent flow ,is established,

Key words: orthogonal function method, nonlinearity, oseillation characteristies, eigenequations, power law fluid, eccentric annular space, helical flow, Binghamfluid