Abstract
Two general equations are proposed for prediction of the flow rate and maximum velocity versus pressure drop relationships in the isotherma,l steady, uniform, laminar flow of incompressible, time-independent non-Newtonian fluids in ducts of arbitrary cross section. The equations are expressed in terms of two parametric constants characteristic of the shape of the flow cross section and a function of shear stress characterizing the fluid. Numerical values of the geometric parameters have been determined for circular, slit, concentrically annular, rectangular, elliptical and isosceles triangular ducts. Comparisons with available experimental and analytical results for Newtonian, Ostwald-de Waele, Bingham and Rabinowitsch fluids indicate good agreement. A generalization of the Fanning friction factor-Reynolds number considerations is presented yielding the relationship f = 16/Re * applicable to laminar flow through ducts of arbitrary cross section. Methods for prediction of the transition point from laminar flow in the general case are suggested. The effect of the existence of a slip velocity at the wall is considered. Applications are illustrated by examples.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
