MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt
The present paper related to thin film flows of two immiscible third grade fluids past a vertical moving belt with slip conditions in the presence of uniform magnetic field. Immiscible fluids we mean superposed fluids of different densities and viscosities. The basic governing equations of continuit...
Main Authors: | , , , , , |
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Format: | Article |
Language: | English |
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De Gruyter
2019-10-01
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Series: | Open Physics |
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Online Access: | https://doi.org/10.1515/phys-2019-0059 |
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author | Khan Zeeshan Tairan Nasser Mashwani Wali Khan Rasheed Haroon Ur Shah Habib Khan Waris |
author_facet | Khan Zeeshan Tairan Nasser Mashwani Wali Khan Rasheed Haroon Ur Shah Habib Khan Waris |
author_sort | Khan Zeeshan |
collection | DOAJ |
description | The present paper related to thin film flows of two immiscible third grade fluids past a vertical moving belt with slip conditions in the presence of uniform magnetic field. Immiscible fluids we mean superposed fluids of different densities and viscosities. The basic governing equations of continuity, momentum and energy are incorporated. The modeled coupled equations are solved analytically by using Adomian Decomposition Method (ADM) along with Homotopy Analysis Method (HAM). The residual errors show the authentication of the present work. For comparison, numerical method (ND-Solve) is also applied and good agreement is found. The effects of model parameters on velocity, skin friction and temperature variation have been studied. At the end, the present study is also compared with single layer flow and revealed in close agreement with the result available in the literature. |
first_indexed | 2024-12-22T05:26:04Z |
format | Article |
id | doaj.art-4c5c4cf8e636472bacc377835041d008 |
institution | Directory Open Access Journal |
issn | 2391-5471 |
language | English |
last_indexed | 2024-12-22T05:26:04Z |
publishDate | 2019-10-01 |
publisher | De Gruyter |
record_format | Article |
series | Open Physics |
spelling | doaj.art-4c5c4cf8e636472bacc377835041d0082022-12-21T18:37:35ZengDe GruyterOpen Physics2391-54712019-10-0117157558610.1515/phys-2019-0059phys-2019-0059MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving BeltKhan Zeeshan0Tairan Nasser1Mashwani Wali Khan2Rasheed Haroon Ur3Shah Habib4Khan Waris5Sarhad University of Science and Information Technology, Peshawar, KP, 25000PakistanCollege of Computer Science, Department of Computer Science, King Khalid University, Abha, Saudi ArabiaInstitue of Numerical Sciences, Kohat University of Science and technology, Kohat, PakistanSarhad University of Science and Information Technology, Peshawar, KP, 25000PakistanCollege of Computer Science, Department of Computer Science, King Khalid University, Abha, Saudi ArabiaInstitue of Numerical Sciences, Kohat University of Science and technology, Kohat, PakistanThe present paper related to thin film flows of two immiscible third grade fluids past a vertical moving belt with slip conditions in the presence of uniform magnetic field. Immiscible fluids we mean superposed fluids of different densities and viscosities. The basic governing equations of continuity, momentum and energy are incorporated. The modeled coupled equations are solved analytically by using Adomian Decomposition Method (ADM) along with Homotopy Analysis Method (HAM). The residual errors show the authentication of the present work. For comparison, numerical method (ND-Solve) is also applied and good agreement is found. The effects of model parameters on velocity, skin friction and temperature variation have been studied. At the end, the present study is also compared with single layer flow and revealed in close agreement with the result available in the literature.https://doi.org/10.1515/phys-2019-0059mhd flowtwo-immiscible fluidthird grade fluidthin film flowanalytical and numerical approach47.52.+j47.15.gm05.45.pq44.40.+a |
spellingShingle | Khan Zeeshan Tairan Nasser Mashwani Wali Khan Rasheed Haroon Ur Shah Habib Khan Waris MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt Open Physics mhd flow two-immiscible fluid third grade fluid thin film flow analytical and numerical approach 47.52.+j 47.15.gm 05.45.pq 44.40.+a |
title | MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt |
title_full | MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt |
title_fullStr | MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt |
title_full_unstemmed | MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt |
title_short | MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt |
title_sort | mhd and slip effect on two immiscible third grade fluid on thin film flow over a vertical moving belt |
topic | mhd flow two-immiscible fluid third grade fluid thin film flow analytical and numerical approach 47.52.+j 47.15.gm 05.45.pq 44.40.+a |
url | https://doi.org/10.1515/phys-2019-0059 |
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