This article examines unsteady flows of rheologically complex fluids in a flat channel using the Oldroyd-B model after the actuator is switched off. It is assumed that until the actuator is switched off, the fluid flow is steady under a constant pressure gradient. From a given point in time, the pressure gradient in the system is assumed to be zero. The problem is solved analytically using the Laplace transform. Based on the solutions obtained, the corresponding hydrodynamic regularities are determined, which are important for technical and technological processes.
| Mualliflar | Yakhshibaev, D.S., Яхшибаев, Д.С. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2026-03-07 |
| Son | 1 |
| Betlar | 16-27 |
| Til | Ingliz |
| DOI | 10.71310/pcam.1_71.2026.02 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.1_71.2026.02 · Maqolaning asl sahifasi
pressure gradient, Laplace transform, unsteady flow, hydrodynamic effects, rheologically complex fluid, градиент давления, преобразование Лапласа, нестационарное течение, гидродинамические эффекты, реологически сложная жидкость
| APA | Yakhshibaev, D.S., & Яхшибаев, Д.С. (2026). The Occurrence of the Phenomenon of Elastic Return During Unsteady Flow of a Rheologically Complex Fluid in a Flat Channel within the Oldroyd-B Model. Ҳисоблаш ва амалий математика муаммолари, (1), 16-27. https://doi.org/10.71310/pcam.1_71.2026.02 |
|---|---|
| GOST (OAK) | Yakhshibaev, D.S., Яхшибаев, Д.С. The Occurrence of the Phenomenon of Elastic Return During Unsteady Flow of a Rheologically Complex Fluid in a Flat Channel within the Oldroyd-B Model // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 1. – P. 16-27. – DOI: 10.71310/pcam.1_71.2026.02. |
| MLA | Yakhshibaev, D.S., and Яхшибаев, Д.С. “The Occurrence of the Phenomenon of Elastic Return During Unsteady Flow of a Rheologically Complex Fluid in a Flat Channel within the Oldroyd-B Model.” Ҳисоблаш ва амалий математика муаммолари, (1), 16-27, 2026. https://doi.org/10.71310/pcam.1_71.2026.02 |
| Chicago | Yakhshibaev, D.S., and Яхшибаев, Д.С. “The Occurrence of the Phenomenon of Elastic Return During Unsteady Flow of a Rheologically Complex Fluid in a Flat Channel within the Oldroyd-B Model.” Ҳисоблаш ва амалий математика муаммолари, (1), 16-27 (2026). https://doi.org/10.71310/pcam.1_71.2026.02 |
| Harvard | Yakhshibaev, D.S., and Яхшибаев, Д.С (2026) ‘The Occurrence of the Phenomenon of Elastic Return During Unsteady Flow of a Rheologically Complex Fluid in a Flat Channel within the Oldroyd-B Model’, Ҳисоблаш ва амалий математика муаммолари, (1), 16-27. https://doi.org/10.71310/pcam.1_71.2026.02 |
| BibTeX | @article{yakhshibaevds2026,
title = {The Occurrence of the Phenomenon of Elastic Return During Unsteady Flow of a Rheologically Complex Fluid in a Flat Channel within the Oldroyd-B Model},
author = {Yakhshibaev, D.S. and Яхшибаев, Д.С.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {1},
pages = {16-27},
doi = {10.71310/pcam.1_71.2026.02},
url = {https://doi.org/10.71310/pcam.1_71.2026.02}
} |
Boshqa maqola uchun iqtibos tayyorlash
The paper addresses a numerical solution of a plane–radial boundary inverse problem for the relaxation filtration equation describing fluid flow in an elastically deformable porous medium. The study is motivated by the…
Hypersingular integral equations are encountered in a number of fields, such as the dynamics of air and fluid flow, elasticity, and wave propagation theory. Analytical solutions for these integral equations exist, but…
Integrals of rapidly oscillating functions arise mainly in the theory of special functions and Fourier analysis, but also in other applied and computational sciences and engineering, for example, in theoretical physics…
For the numerical solution of the Dirichlet problem for the Poisson equation, both direct and iterative methods have been developed. However, the required number of arithmetic operations for direct methods, as well as…
This study addresses the mathematical modeling of the dispersion process of harmful substances released into the atmosphere in complex urban environments. A mathematical model has been developed to determine the…
This paper explores the numerical modeling of flow during filtration and transport of dissolved components in a cylindrical porous medium. The mathematical formulation is based on the axisymmetric Brinkman-Darcy…
This article is devoted to the study of the properties of solutions of systems of heat conduction equations associated with nonlinear boundary conditions, to the construction of self-similar solutions and finding their…
This article examines the theoretical foundations and practical application of a mathematical model for forecasting groundwater movement and levels based on the analysis of modern literature. The mathematical model for…
In this article, within the framework of the Saint-Venant compatibility conditions, plane problems of plasticity theory formulated in terms of strains are presented, aimed at investigating the stress-strain state of a…
In the early 1960s, seminal results in differential game theory, where the game is described by an ordinary differential equation in a finite-dimensional space, were obtained by academicians L.S. Pontryagin and N.N…
Ҳисоблаш ва амалий математика муаммолари — barcha maqolalar · 2026-yil arxivi
A three-dimensional mathematical model is proposed for the inflow of a turbid (sediment-laden) river flow into a density-stratified reservoir, accounting for phase separation and the breakdown of the layered structure…