Modeling the process of force load generation at the initial periodic change in pressure (a plane problem)

Mukhiddin Khudjaev,Botir Khasanov,Doston Khurramov,Erkin Nematov,Anorgul Karimova,V Kankhva

doi:10.1051/e3sconf/202125808020

Mukhiddin Khudjaev, Botir Khasanov + Show 4 more

Open Access

https://doi.org/10.1051/e3sconf/202125808020

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Abstract

The article deals with modeling the process of force load generation at an initial periodic change in pressure (a plane problem). The subject of research is a pulsating flow in a flat channel at an initial periodic pressure change. The determination of flow parameters with a periodic change in the inlet pressure; the changes in the structure of the working fluid associated with the release of various particles from the pipe walls, the addition of impurities to prevent leaks, and the high-speed modes, are given in the article considering the law of molecular and molar transfer between layers. Research methods are based on Newton’s rheological law, according to which molecular transfer is described by the law of proportionality of stresses to the derivative of the normal velocity; on the method of accounting for molar transfer by proportionality of stresses to the derivative of normal acceleration; on the method of mathematical modeling and the analytical method for their solutions, based on the provisions of operational calculus. An analytical solution to the problem of pulsating fluid motion in a plane-parallel channel is obtained with allowance for single and group transfer of molecules in the flow. The application of the analytical expressions obtained for the velocities is not limited to the critical Reynolds number, i.e. they are applied for any values of this number. Analytical expressions are obtained for the transverse and longitudinal components of the flow velocity. The resulting solution describes two zones of flow: in the first zone, two types of transfer occur, depending on the flow pattern, either molecular or molar transfer of fluid volumes between the layers prevails. In the second zone, only molecular transfer occurs.

Highlights

Pulsating flows of fluid ensure the existence of biological and social objects and they are an integral part of the technological production processes
Modeling a pulsating inlet flow to study the performance of flutterbased energy harvesters [3] and the effect of pseudo-plastic fluid flow in a manifold microchannel heat sink [4] is the evidence of the widespread use of pulsating flow
In order to obtain an analytical solution to this problem, we introduce the following function: u(x, y, t) v1(x, y, t) u0 (1 eJt )

Summary

Introduction

Pulsating flows of fluid ensure the existence of biological and social objects and they are an integral part of the technological production processes. Investigations of pulsating fluid flow are conducted by experimental [5, 6] and theoretical methods [3, 4] Theoretical studies of this process are conducted using the Navier-Stokes equations. The Navier-Stokes equations are derived with Newton's law, according to which the stress is directly proportional to the derivative of the normal velocity, which describes the molecular transfer of momentum between the layers of the flow. This corresponds to a homogeneous layered fluid flow. In the problem considered below, we used the method of involving the provisions of the operational calculus

Methods

Materials

SP f n1

Results and discussion