MOVEMENT OF ANOMAL OIL IN THE ROUND CYLINDRICAL PIPE ACCORDING TO MAXWELL'S LAW OF FRICTION

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Publication date: 2024-12-30 09:40:00
Authors: S.D. MUSTAFAYEV; F.K. KYAZIMOV; R.K. GUSEYNOVA
Category: Engineering
Summary: The article solves a stationary hydromechanical problem about the movement of anomalous oil in a round cylindrical pipe according to the law of friction, i.e., according to the modified Maxwell model. When solving this problem, it is assumed that the direction of oil movement will coincide with the direction of the pipe axis. Between the 1st and 2nd cross sections of the pipe, a part with a length is taken. In this part of the pipe, radius size calculations are taken from the pipe axis. The speed of oil movement depends on the radius and decreases as it increases. At : ????=???? : ????=0 . From the condition of equilibrium of two forces, that is, the pressure force and the friction force, an expression was found for the radius of the flow core. Formulas are presented for the initial pressure Δ???? drop and for the shear stress ???? . To solve the differential equation of anomalous oil, a technique was used to replace a complex differential with a simple differential. A formula has been derived for the total oil flow rate in a pipe; a formula for pressure loss in the laminar mode of movement of anomalous oil in a pipe has been extracted. When Δ????≤Δ????0 the liquid in the pipe does not move, it remains at rest.
Author keywords: anomalous oil; round cylindrical pipe; friction law; hydromechanical problem; direction of movement; pipe axis; part of the pipe; velocity diagram; parabola4 parabolloid.

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