Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet
In this research work we have examined the flow of Williamson liquid film fluid with heat transmission and having the impact of thermal radiation embedded in a permeable medium over a time dependent stretching surface. The fluid flow of liquid films is assumed in two dimensions. By using suitable si...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-10-01
|
| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844018307825 |
| _version_ | 1818791614394400768 |
|---|---|
| author | Zahir Shah Ebenezer Bonyah Saeed Islam Waris Khan Mohammad Ishaq |
| author_facet | Zahir Shah Ebenezer Bonyah Saeed Islam Waris Khan Mohammad Ishaq |
| author_sort | Zahir Shah |
| collection | DOAJ |
| description | In this research work we have examined the flow of Williamson liquid film fluid with heat transmission and having the impact of thermal radiation embedded in a permeable medium over a time dependent stretching surface. The fluid flow of liquid films is assumed in two dimensions. By using suitable similarity transformation the governing non-linear partial differential equations have been transformed into non-linear differential equations. An optimal approach has been used to acquire the solution of the modelled problem. The convergence of the technique has been shown numerically. The impact of the Skin friction and Nusslet number and their influence on thin film flow are shown numerically. Thermal radiation, unsteadiness effect and porosity have mainly focused in this paper. Furthermore, for conception and physical demonstration the entrenched parameters, like porosity parameter k, Prandtl number Pr, unsteadiness parameter S, Radiation parameter Rd, Magnetic parameter M, and Williamson fluid parameter have been discussed graphically in detail with their effect on liquid film flow. |
| first_indexed | 2024-12-18T15:14:09Z |
| format | Article |
| id | doaj.art-7f70617bca044ec297ac12f5de68b083 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-18T15:14:09Z |
| publishDate | 2018-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-7f70617bca044ec297ac12f5de68b0832022-12-21T21:03:34ZengElsevierHeliyon2405-84402018-10-01410e00825Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheetZahir Shah0Ebenezer Bonyah1Saeed Islam2Waris Khan3Mohammad Ishaq4Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa 23200, PakistanDepartment of Information Technology Education, University of Education Winneba-(Kumasi Campus), Kumasi 00233, Ghana; Corresponding author.Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa 23200, PakistanDepartment of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa 25000, PakistanDepartment of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa 25000, PakistanIn this research work we have examined the flow of Williamson liquid film fluid with heat transmission and having the impact of thermal radiation embedded in a permeable medium over a time dependent stretching surface. The fluid flow of liquid films is assumed in two dimensions. By using suitable similarity transformation the governing non-linear partial differential equations have been transformed into non-linear differential equations. An optimal approach has been used to acquire the solution of the modelled problem. The convergence of the technique has been shown numerically. The impact of the Skin friction and Nusslet number and their influence on thin film flow are shown numerically. Thermal radiation, unsteadiness effect and porosity have mainly focused in this paper. Furthermore, for conception and physical demonstration the entrenched parameters, like porosity parameter k, Prandtl number Pr, unsteadiness parameter S, Radiation parameter Rd, Magnetic parameter M, and Williamson fluid parameter have been discussed graphically in detail with their effect on liquid film flow.http://www.sciencedirect.com/science/article/pii/S2405844018307825Applied mathematicsComputational mathematics |
| spellingShingle | Zahir Shah Ebenezer Bonyah Saeed Islam Waris Khan Mohammad Ishaq Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet Heliyon Applied mathematics Computational mathematics |
| title | Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet |
| title_full | Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet |
| title_fullStr | Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet |
| title_full_unstemmed | Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet |
| title_short | Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet |
| title_sort | radiative mhd thin film flow of williamson fluid over an unsteady permeable stretching sheet |
| topic | Applied mathematics Computational mathematics |
| url | http://www.sciencedirect.com/science/article/pii/S2405844018307825 |
| work_keys_str_mv | AT zahirshah radiativemhdthinfilmflowofwilliamsonfluidoveranunsteadypermeablestretchingsheet AT ebenezerbonyah radiativemhdthinfilmflowofwilliamsonfluidoveranunsteadypermeablestretchingsheet AT saeedislam radiativemhdthinfilmflowofwilliamsonfluidoveranunsteadypermeablestretchingsheet AT wariskhan radiativemhdthinfilmflowofwilliamsonfluidoveranunsteadypermeablestretchingsheet AT mohammadishaq radiativemhdthinfilmflowofwilliamsonfluidoveranunsteadypermeablestretchingsheet |