Heat transfer investigation of the unsteady thin film flow of Williamson fluid past an inclined and oscillating moving plate

Taza Gul, Abdul Samad Khan, Saeed Islam, Aisha M. Alqahtani, Ilyas Khan, Ali Saleh Alshomrani, Abdullah K. Alzahrani, Muradullah

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

This investigation aims at analyzing the thin film flow passed over an inclined moving plate. The differential type non-Newtonian fluid ofWilliamson has been used as a base fluid in its unsteady state. The physical configuration of the oscillatory flow pattern has been demonstrated and especial attention has been paid to the oscillatory phenomena. The shear stresses have been combined with the energy equation. The uniform magnetic field has been applied perpendicularly to the flow field. The principal equations for fluid motion and temperature profiles have been modeled and simplified in the form of non-linear partial differential equations. The non-linear differential equations have been solved with the help of a powerful analytical technique known as Optimal Homotopy Asymptotic Method (OHAM). This method contains unknown convergence controlling parameters C1, C2, C3, ... which results in more efficient and fast convergence as compared to other analytical techniques. The OHAM results have been verified by using a second method known as Adomian Decomposition Method (ADM). The closed agreement of these two methods and the fast convergence of OHAM has been shown graphically and numerically. The comparison of the present work and published work has also been equated graphically and tabulated with absolute error. Moreover, the effect of important physical parameters like magnetic parameter M, gravitational parameter m, Oscillating parameter w, Eckert number Ec and Williamson number We have also been derived and discussed in this article.

Original languageEnglish
Article number369
JournalApplied Sciences (Switzerland)
Volume7
Issue number4
DOIs
Publication statusPublished - 7 Apr 2017

Fingerprint

Flow of fluids
asymptotic methods
heat transfer
Heat transfer
Thin films
Fluids
fluids
thin films
flow distribution
Flow patterns
Partial differential equations
Shear stress
Flow fields
unsteady state
Differential equations
Magnetic fields
Decomposition
partial differential equations
temperature profiles
shear stress

Keywords

  • Heat transfer and magnetic field
  • Optimal Homotopy Asymptotic Method (OHAM)
  • Oscillating inclined plane
  • Time dependent thin film fluid flow
  • Williamson fluid

Cite this

Gul, Taza ; Khan, Abdul Samad ; Islam, Saeed ; Alqahtani, Aisha M. ; Khan, Ilyas ; Alshomrani, Ali Saleh ; Alzahrani, Abdullah K. ; Muradullah. / Heat transfer investigation of the unsteady thin film flow of Williamson fluid past an inclined and oscillating moving plate. In: Applied Sciences (Switzerland). 2017 ; Vol. 7, No. 4.
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abstract = "This investigation aims at analyzing the thin film flow passed over an inclined moving plate. The differential type non-Newtonian fluid ofWilliamson has been used as a base fluid in its unsteady state. The physical configuration of the oscillatory flow pattern has been demonstrated and especial attention has been paid to the oscillatory phenomena. The shear stresses have been combined with the energy equation. The uniform magnetic field has been applied perpendicularly to the flow field. The principal equations for fluid motion and temperature profiles have been modeled and simplified in the form of non-linear partial differential equations. The non-linear differential equations have been solved with the help of a powerful analytical technique known as Optimal Homotopy Asymptotic Method (OHAM). This method contains unknown convergence controlling parameters C1, C2, C3, ... which results in more efficient and fast convergence as compared to other analytical techniques. The OHAM results have been verified by using a second method known as Adomian Decomposition Method (ADM). The closed agreement of these two methods and the fast convergence of OHAM has been shown graphically and numerically. The comparison of the present work and published work has also been equated graphically and tabulated with absolute error. Moreover, the effect of important physical parameters like magnetic parameter M, gravitational parameter m, Oscillating parameter w, Eckert number Ec and Williamson number We have also been derived and discussed in this article.",
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Heat transfer investigation of the unsteady thin film flow of Williamson fluid past an inclined and oscillating moving plate. / Gul, Taza; Khan, Abdul Samad; Islam, Saeed; Alqahtani, Aisha M.; Khan, Ilyas; Alshomrani, Ali Saleh; Alzahrani, Abdullah K.; Muradullah.

In: Applied Sciences (Switzerland), Vol. 7, No. 4, 369, 07.04.2017.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Heat transfer investigation of the unsteady thin film flow of Williamson fluid past an inclined and oscillating moving plate

AU - Gul, Taza

AU - Khan, Abdul Samad

AU - Islam, Saeed

AU - Alqahtani, Aisha M.

AU - Khan, Ilyas

AU - Alshomrani, Ali Saleh

AU - Alzahrani, Abdullah K.

AU - Muradullah,

PY - 2017/4/7

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N2 - This investigation aims at analyzing the thin film flow passed over an inclined moving plate. The differential type non-Newtonian fluid ofWilliamson has been used as a base fluid in its unsteady state. The physical configuration of the oscillatory flow pattern has been demonstrated and especial attention has been paid to the oscillatory phenomena. The shear stresses have been combined with the energy equation. The uniform magnetic field has been applied perpendicularly to the flow field. The principal equations for fluid motion and temperature profiles have been modeled and simplified in the form of non-linear partial differential equations. The non-linear differential equations have been solved with the help of a powerful analytical technique known as Optimal Homotopy Asymptotic Method (OHAM). This method contains unknown convergence controlling parameters C1, C2, C3, ... which results in more efficient and fast convergence as compared to other analytical techniques. The OHAM results have been verified by using a second method known as Adomian Decomposition Method (ADM). The closed agreement of these two methods and the fast convergence of OHAM has been shown graphically and numerically. The comparison of the present work and published work has also been equated graphically and tabulated with absolute error. Moreover, the effect of important physical parameters like magnetic parameter M, gravitational parameter m, Oscillating parameter w, Eckert number Ec and Williamson number We have also been derived and discussed in this article.

AB - This investigation aims at analyzing the thin film flow passed over an inclined moving plate. The differential type non-Newtonian fluid ofWilliamson has been used as a base fluid in its unsteady state. The physical configuration of the oscillatory flow pattern has been demonstrated and especial attention has been paid to the oscillatory phenomena. The shear stresses have been combined with the energy equation. The uniform magnetic field has been applied perpendicularly to the flow field. The principal equations for fluid motion and temperature profiles have been modeled and simplified in the form of non-linear partial differential equations. The non-linear differential equations have been solved with the help of a powerful analytical technique known as Optimal Homotopy Asymptotic Method (OHAM). This method contains unknown convergence controlling parameters C1, C2, C3, ... which results in more efficient and fast convergence as compared to other analytical techniques. The OHAM results have been verified by using a second method known as Adomian Decomposition Method (ADM). The closed agreement of these two methods and the fast convergence of OHAM has been shown graphically and numerically. The comparison of the present work and published work has also been equated graphically and tabulated with absolute error. Moreover, the effect of important physical parameters like magnetic parameter M, gravitational parameter m, Oscillating parameter w, Eckert number Ec and Williamson number We have also been derived and discussed in this article.

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KW - Oscillating inclined plane

KW - Time dependent thin film fluid flow

KW - Williamson fluid

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DO - 10.3390/app7040369

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JO - Applied Sciences (Switzerland)

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SN - 2076-3417

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