Analytical solutions to Stokes-type flows of inhomogeneous fluids

Mehrdad Massoudi, Ashuwin Vaidya

Research output: Contribution to journalArticleResearchpeer-review

9 Citations (Scopus)

Abstract

In this paper, we study the unsteady motion of an inhomogeneous incompressible viscous fluid, where the viscosity varies spatially according to various models. We study the Stokes-type flow for these types of fluids where in the first case the flow between two parallel plates is examined with one of the plates oscillating and in the second case when the flow is caused by a pulsatile pressure gradient. A general argument establishes the existence of oscillatory solutions to our problem. Exact solutions are obtained in terms of some special functions and comparisons are made with the cases of constant viscosity and the slow flow regimes.

Original languageEnglish
Pages (from-to)6314-6329
Number of pages16
JournalApplied Mathematics and Computation
Volume218
Issue number11
DOIs
StatePublished - 5 Feb 2012

Fingerprint

Stokes
Flow of fluids
Analytical Solution
Viscosity
Fluid
Fluids
Pressure gradient
Oscillatory Solution
Special Functions
Pressure Gradient
Viscous Fluid
Incompressible Fluid
Exact Solution
Vary
Motion
Model

Keywords

  • Non-homogenous fluids
  • Oscillating plate
  • Stokes second problem
  • Variable viscosity

Cite this

@article{2bf888a2d21b4a4ba29f09ec3005d7fc,
title = "Analytical solutions to Stokes-type flows of inhomogeneous fluids",
abstract = "In this paper, we study the unsteady motion of an inhomogeneous incompressible viscous fluid, where the viscosity varies spatially according to various models. We study the Stokes-type flow for these types of fluids where in the first case the flow between two parallel plates is examined with one of the plates oscillating and in the second case when the flow is caused by a pulsatile pressure gradient. A general argument establishes the existence of oscillatory solutions to our problem. Exact solutions are obtained in terms of some special functions and comparisons are made with the cases of constant viscosity and the slow flow regimes.",
keywords = "Non-homogenous fluids, Oscillating plate, Stokes second problem, Variable viscosity",
author = "Mehrdad Massoudi and Ashuwin Vaidya",
year = "2012",
month = "2",
day = "5",
doi = "10.1016/j.amc.2011.11.110",
language = "English",
volume = "218",
pages = "6314--6329",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier Inc.",
number = "11",

}

Analytical solutions to Stokes-type flows of inhomogeneous fluids. / Massoudi, Mehrdad; Vaidya, Ashuwin.

In: Applied Mathematics and Computation, Vol. 218, No. 11, 05.02.2012, p. 6314-6329.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Analytical solutions to Stokes-type flows of inhomogeneous fluids

AU - Massoudi, Mehrdad

AU - Vaidya, Ashuwin

PY - 2012/2/5

Y1 - 2012/2/5

N2 - In this paper, we study the unsteady motion of an inhomogeneous incompressible viscous fluid, where the viscosity varies spatially according to various models. We study the Stokes-type flow for these types of fluids where in the first case the flow between two parallel plates is examined with one of the plates oscillating and in the second case when the flow is caused by a pulsatile pressure gradient. A general argument establishes the existence of oscillatory solutions to our problem. Exact solutions are obtained in terms of some special functions and comparisons are made with the cases of constant viscosity and the slow flow regimes.

AB - In this paper, we study the unsteady motion of an inhomogeneous incompressible viscous fluid, where the viscosity varies spatially according to various models. We study the Stokes-type flow for these types of fluids where in the first case the flow between two parallel plates is examined with one of the plates oscillating and in the second case when the flow is caused by a pulsatile pressure gradient. A general argument establishes the existence of oscillatory solutions to our problem. Exact solutions are obtained in terms of some special functions and comparisons are made with the cases of constant viscosity and the slow flow regimes.

KW - Non-homogenous fluids

KW - Oscillating plate

KW - Stokes second problem

KW - Variable viscosity

UR - http://www.scopus.com/inward/record.url?scp=84855870025&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2011.11.110

DO - 10.1016/j.amc.2011.11.110

M3 - Article

VL - 218

SP - 6314

EP - 6329

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 11

ER -