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General stability criterion for laminar tube flow

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Initiation of turbelence is associated with disturbances of finite intensity [1]. Some attempts, as in [2], have been made to treat this region analytically. The nonuniformity of the local stability * of laminar fluid flow over the tube cross section has been established experimentally [3,4, 1]. On this finding is based the interpretation of a number of turbulent transition phenomena, including a characteristic singularity of the relationship between the resistance coefficient of rough tubes and the Reynolds number under transient conditions [5].

Expression (1.1) introduced as a measure of stability, and the criterion q* yield satisfactory quantitative results.

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Kuznetskii, R.S., Likht, M.K. General stability criterion for laminar tube flow. J Appl Mech Tech Phys 10, 587–593 (1969). https://doi.org/10.1007/BF00916215

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