Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection

The unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with suction/injection is studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using a similarity transformation and solved numerically. Both stretchin...

Full description

Saved in:
Bibliographic Details
Main Authors: M. Suali, N. M. A. Nik Long, N. M. Ariffin
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/781845
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849407993648513024
author M. Suali
N. M. A. Nik Long
N. M. Ariffin
author_facet M. Suali
N. M. A. Nik Long
N. M. Ariffin
author_sort M. Suali
collection DOAJ
description The unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with suction/injection is studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using a similarity transformation and solved numerically. Both stretching and shrinking cases are considered. Results for the skin friction coefficient, local Nusselt number, velocity, and temperature profiles are presented for different values of the governing parameters. It is found that the dual solutions exist for the shrinking case, whereas the solution is unique for the stretching case. Numerical results show that the range of dual solutions increases with mass suction and decreases with mass injection.
format Article
id doaj-art-3eaaf03cd5034e3793dd7189bdecd2aa
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-3eaaf03cd5034e3793dd7189bdecd2aa2025-08-20T03:35:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/781845781845Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or InjectionM. Suali0N. M. A. Nik Long1N. M. Ariffin2Department of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia, Selangor, 43400 Serdang, MalaysiaThe unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with suction/injection is studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using a similarity transformation and solved numerically. Both stretching and shrinking cases are considered. Results for the skin friction coefficient, local Nusselt number, velocity, and temperature profiles are presented for different values of the governing parameters. It is found that the dual solutions exist for the shrinking case, whereas the solution is unique for the stretching case. Numerical results show that the range of dual solutions increases with mass suction and decreases with mass injection.http://dx.doi.org/10.1155/2012/781845
spellingShingle M. Suali
N. M. A. Nik Long
N. M. Ariffin
Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection
Journal of Applied Mathematics
title Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection
title_full Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection
title_fullStr Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection
title_full_unstemmed Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection
title_short Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection
title_sort unsteady stagnation point flow and heat transfer over a stretching shrinking sheet with suction or injection
url http://dx.doi.org/10.1155/2012/781845
work_keys_str_mv AT msuali unsteadystagnationpointflowandheattransferoverastretchingshrinkingsheetwithsuctionorinjection
AT nmaniklong unsteadystagnationpointflowandheattransferoverastretchingshrinkingsheetwithsuctionorinjection
AT nmariffin unsteadystagnationpointflowandheattransferoverastretchingshrinkingsheetwithsuctionorinjection