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UNSTEADY PROBLEM OF FLUID FLOW IN A CHANNEL OF VARIABLE CROSS-SECTION

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INNOVATION TECHNOLOGIES

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This article mathematically models the stationary and unsteady behavior of fluid flow in channels with variable cross-sections. The study considers the problem of determining unsteady flow parameters based on the method of small disturbances, Gurevich – Haskind and Kuznetsov approaches. Analytical formulas are presented for determining the complex potential, velocity and pressure fields of the flow, and kinematic and dynamic conditions for the free boundary are derived. The properties of pulsating flows in a narrowing channel are analyzed, and the dependence of the pressure amplitude and phase on the Struchal number is studied. As a result of the study, an analytical method for calculating the parameters of the turbulent flow that occurs in the compression zone of the channel is developed, and a method for determining the channel shape that ensures turbulent flow is proposed.

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# matematik model# nostatsionar oqim# o‘zgaruvchan kesimli kanal# statsionar oqim# kichik g‘alayonlar usuli# Gurevich – Xaskind usuli# kompleks potensial# suyuqlik dinamikasi# erkin chegara# uyurmalik oqim# bosim amplitudasi# Struxal soni# Keldish – Sedov formulasi# kanal geometriyasi# analitik yechim.

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References

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