Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity

This article is proposed to discuss the solutions of two-dimensional equations of motion for viscous fluid. Different situations for the solution have been investigated while employing inverse solution methods. On assuming the stream functions in a certain form without prescribing boundary condition...

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Main Authors: Tanvir Akbar, Qazi Muhammad Zaigham Zia
Format: Article
Language:English
Published: SAGE Publishing 2019-04-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814019831893
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spelling doaj-2767dbceea484656823dd83afb78d40b2020-11-25T03:09:33ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402019-04-011110.1177/1687814019831893Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticityTanvir AkbarQazi Muhammad Zaigham ZiaThis article is proposed to discuss the solutions of two-dimensional equations of motion for viscous fluid. Different situations for the solution have been investigated while employing inverse solution methods. On assuming the stream functions in a certain form without prescribing boundary conditions, the expressions for streamlines and velocity components are explicitly presented. Moreover, a series of graphical results for streamlines and velocity components are plotted.https://doi.org/10.1177/1687814019831893
collection DOAJ
language English
format Article
sources DOAJ
author Tanvir Akbar
Qazi Muhammad Zaigham Zia
spellingShingle Tanvir Akbar
Qazi Muhammad Zaigham Zia
Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity
Advances in Mechanical Engineering
author_facet Tanvir Akbar
Qazi Muhammad Zaigham Zia
author_sort Tanvir Akbar
title Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity
title_short Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity
title_full Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity
title_fullStr Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity
title_full_unstemmed Some exact solutions of two-dimensional Navier–Stokes equations by generalizing the local vorticity
title_sort some exact solutions of two-dimensional navier–stokes equations by generalizing the local vorticity
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8140
publishDate 2019-04-01
description This article is proposed to discuss the solutions of two-dimensional equations of motion for viscous fluid. Different situations for the solution have been investigated while employing inverse solution methods. On assuming the stream functions in a certain form without prescribing boundary conditions, the expressions for streamlines and velocity components are explicitly presented. Moreover, a series of graphical results for streamlines and velocity components are plotted.
url https://doi.org/10.1177/1687814019831893
work_keys_str_mv AT tanvirakbar someexactsolutionsoftwodimensionalnavierstokesequationsbygeneralizingthelocalvorticity
AT qazimuhammadzaighamzia someexactsolutionsoftwodimensionalnavierstokesequationsbygeneralizingthelocalvorticity
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