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...

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Main Authors: Khan Zeeshan, Tairan Nasser, Mashwani Wali Khan, Rasheed Haroon Ur, Shah Habib, Khan Waris
Format: Article
Language:English
Published: De Gruyter 2019-10-01
Series:Open Physics
Subjects:
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.
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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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