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A GENERALIZED CRITERION FOR THE LAMINAR-TURBULENT TRANSITION IN THE FLOW OF FLUIDS

Technical Report ·
DOI:https://doi.org/10.2172/4765987· OSTI ID:4765987

ABS>A brief review and discussion is given of earlier attempts to formulate a stability criterion that is more general than the simple Newtonian Reynolds number. A new parameter is formulated and its general properties are discussed. The new parameter is applied to several different situations and is shown to be applicable in general to rectilinear flow systems. The applications that are compared with experiMental data include isothermal flow of Newtonian fluids in pipes, in concentric annuli, and between parallel plates; isothermal and nonisothermal flow of pseudoplastic nonNewtonian fluids in pipes; and isothermal flow of semifiuids (substances possessing finite yield stresses) in pipes. In addition to these experimentally verified results, theoretical calculations are presented for the isothermal flow of pseudoplastic non-Newtonian fluids between parallel plates, isothermal flow of semifluid substances (in terms of the Bingham model) in concentric annuli and between parallel plates, isothermal flow of semifluid substances (in terms of the nonlinear Powell-Eyring rheological model in pipes. (auth)

Research Organization:
Oak Ridge Gaseous Diffusion Plant, Tenn.
DOE Contract Number:
W-7405-ENG-26
NSA Number:
NSA-17-003108
OSTI ID:
4765987
Report Number(s):
K-1531
Country of Publication:
United States
Language:
English

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