STEADY FLOW OF A NON-NEWTONIAN FLUID IN UNBOUNDED CHANNELS AND PIPES-Reference-Cited by-同舟云学术

STEADY FLOW OF A NON-NEWTONIAN FLUID IN UNBOUNDED CHANNELS AND PIPES

Published:2000-12 Issue:09 Volume:10 Page:1425-1445
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

MARUŠIĆ-PALOKA EDUARD¹

Affiliation:

1. Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia

Abstract

We study the steady flow of a dilatant non-Newtonian fluid obeying the power law in unbounded channels and pipes. The proof of existence and uniqueness of the solution for the Leray's problem for such fluid is given as well as the decay estimate for the solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202500000689

Reference14 articles.

1. Properties of steady Navier–Stokes solutions for certain unbounded channels and pipes

2. Analyse numerique des ecoulements quasi-Newtoniens dont la viscosite obeit a la loi puissance ou la loi de carreau

3. An existence result for fluids with shear dependent viscosity — Steady flows

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stokes Problem and Stokes Operator;Advances in Mathematical Fluid Mechanics;2024

2. Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term;Mathematical Modelling of Natural Phenomena;2023

3. Partial Asymptotic Dimension Reduction for Steady State Non-Newtonian Flow with Strain Rate Dependent Viscosity in Thin Tube Structure;Journal of Mathematical Fluid Mechanics;2022-12-20

4. Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition;Mathematical Modelling of Natural Phenomena;2022

5. Three-Dimensional Velocity Field Using the Cross-Model Viscosity Function;Recent Advances in Mechanics and Fluid-Structure Interaction with Applications;2022