Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface

The main intention of this article is to examine the heat transmission of the flow of Eyring–Powell fluid over an unstable oscillatory porous stretching surface. The effect of thermal radiation on the fluid flow is investigated, where the flow is actuated by the unbounded flexible surface which is e...

Full description

Bibliographic Details
Main Authors: Abdullah Dawar, Zahir Shah, Muhammad Idrees, Waris Khan, Saeed Islam, Taza Gul
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:http://www.mdpi.com/2297-8747/23/2/20
_version_ 1828196948367114240
author Abdullah Dawar
Zahir Shah
Muhammad Idrees
Waris Khan
Saeed Islam
Taza Gul
author_facet Abdullah Dawar
Zahir Shah
Muhammad Idrees
Waris Khan
Saeed Islam
Taza Gul
author_sort Abdullah Dawar
collection DOAJ
description The main intention of this article is to examine the heat transmission of the flow of Eyring–Powell fluid over an unstable oscillatory porous stretching surface. The effect of thermal radiation on the fluid flow is investigated, where the flow is actuated by the unbounded flexible surface which is extended occasionally to and fro on its plane. The rudimentary leading equations are changed to differential equations through the use of applicable similarity variables. An optimal and numerical approach was used to find the solution to the modeled problems. The convergence of the homotopy analysis method (HAM) is shown numerically. The homotopy analysis method predictions of the structures formed are in close agreement with the obtained results from the numerical method. Comparisons between HAM and numerical methods are shown graphically as well as numerically. The convergence of this method is shown numerically. The impacts of the skin friction and heat flux are shown through a table. The influence of the porosity, oscillation, thermal radiation, and heat absorption/generation are the main focus of this work. The consequences of emerging parameters are demonstrated through graphs.
first_indexed 2024-04-12T10:12:10Z
format Article
id doaj.art-51686067b6b345018723af8b5ff1539e
institution Directory Open Access Journal
issn 2297-8747
language English
last_indexed 2024-04-12T10:12:10Z
publishDate 2018-04-01
publisher MDPI AG
record_format Article
series Mathematical and Computational Applications
spelling doaj.art-51686067b6b345018723af8b5ff1539e2022-12-22T03:37:17ZengMDPI AGMathematical and Computational Applications2297-87472018-04-012322010.3390/mca23020020mca23020020Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching SurfaceAbdullah Dawar0Zahir Shah1Muhammad Idrees2Waris Khan3Saeed Islam4Taza Gul5Department of Mathematics, Qurtuba University of Science and Information Technology, Peshawar 25000, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan 23200, PakistanDepartment of Mathematics, Islamia College, Peshawar 25000, PakistanDepartment of Mathematics, Islamia College, Peshawar 25000, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan 23200, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar 25000, PakistanThe main intention of this article is to examine the heat transmission of the flow of Eyring–Powell fluid over an unstable oscillatory porous stretching surface. The effect of thermal radiation on the fluid flow is investigated, where the flow is actuated by the unbounded flexible surface which is extended occasionally to and fro on its plane. The rudimentary leading equations are changed to differential equations through the use of applicable similarity variables. An optimal and numerical approach was used to find the solution to the modeled problems. The convergence of the homotopy analysis method (HAM) is shown numerically. The homotopy analysis method predictions of the structures formed are in close agreement with the obtained results from the numerical method. Comparisons between HAM and numerical methods are shown graphically as well as numerically. The convergence of this method is shown numerically. The impacts of the skin friction and heat flux are shown through a table. The influence of the porosity, oscillation, thermal radiation, and heat absorption/generation are the main focus of this work. The consequences of emerging parameters are demonstrated through graphs.http://www.mdpi.com/2297-8747/23/2/20Eyring–Powell fluidthermal radiationporosityoscillatory stretched sheetHAM
spellingShingle Abdullah Dawar
Zahir Shah
Muhammad Idrees
Waris Khan
Saeed Islam
Taza Gul
Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface
Mathematical and Computational Applications
Eyring–Powell fluid
thermal radiation
porosity
oscillatory stretched sheet
HAM
title Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface
title_full Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface
title_fullStr Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface
title_full_unstemmed Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface
title_short Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface
title_sort impact of thermal radiation and heat source sink on eyring powell fluid flow over an unsteady oscillatory porous stretching surface
topic Eyring–Powell fluid
thermal radiation
porosity
oscillatory stretched sheet
HAM
url http://www.mdpi.com/2297-8747/23/2/20
work_keys_str_mv AT abdullahdawar impactofthermalradiationandheatsourcesinkoneyringpowellfluidflowoveranunsteadyoscillatoryporousstretchingsurface
AT zahirshah impactofthermalradiationandheatsourcesinkoneyringpowellfluidflowoveranunsteadyoscillatoryporousstretchingsurface
AT muhammadidrees impactofthermalradiationandheatsourcesinkoneyringpowellfluidflowoveranunsteadyoscillatoryporousstretchingsurface
AT wariskhan impactofthermalradiationandheatsourcesinkoneyringpowellfluidflowoveranunsteadyoscillatoryporousstretchingsurface
AT saeedislam impactofthermalradiationandheatsourcesinkoneyringpowellfluidflowoveranunsteadyoscillatoryporousstretchingsurface
AT tazagul impactofthermalradiationandheatsourcesinkoneyringpowellfluidflowoveranunsteadyoscillatoryporousstretchingsurface