### Abstract

The problem of transient flow of incompressible third grade fluid on the two-dimensional magnetohydrodynamic (MHD) flow in a porous space is analyzed. The flow is generated due to the motion of the plate in its plane with a periodic velocity. Under the flow assumptions, the governing nonlinear partial differential equation is transformed into steady-state and transient nonlinear equations. The reduced equation for the transient flow is solved analytically using symmetry approach while the nonlinear steady-state equation is solved using a modified version of He's homotopy perturbation method. The effect of several operating parameters on the flow hydromagnetic is discussed. The results indicated that for the considered case, t = 1:5 is the moment after which the time-dependent transient motion of the fluid can be approximated with the steady-state motion, described by the steady-state solution. It is clear that, after this value of time t the time-dependent transient solution can be neglected.

Original language | English |
---|---|

Pages (from-to) | 509-517 |

Number of pages | 9 |

Journal | Journal of Applied Fluid Mechanics |

Volume | 9 |

Issue number | 1 |

Publication status | Published - 2016 |

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### Keywords

- Analytical solutions
- Magnetohydrodynamic
- Periodic wall
- Porous space
- Third-grade fluid
- Transient flow

### ASJC Scopus subject areas

- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics

### Cite this

*Journal of Applied Fluid Mechanics*,

*9*(1), 509-517.

**The transient MHD flow generated by a periodicwall motion in a porous space.** / Abdulhameed, M.; Saleh, H.; Hashim, Ishak; Roslan, R.

Research output: Contribution to journal › Article

*Journal of Applied Fluid Mechanics*, vol. 9, no. 1, pp. 509-517.

}

TY - JOUR

T1 - The transient MHD flow generated by a periodicwall motion in a porous space

AU - Abdulhameed, M.

AU - Saleh, H.

AU - Hashim, Ishak

AU - Roslan, R.

PY - 2016

Y1 - 2016

N2 - The problem of transient flow of incompressible third grade fluid on the two-dimensional magnetohydrodynamic (MHD) flow in a porous space is analyzed. The flow is generated due to the motion of the plate in its plane with a periodic velocity. Under the flow assumptions, the governing nonlinear partial differential equation is transformed into steady-state and transient nonlinear equations. The reduced equation for the transient flow is solved analytically using symmetry approach while the nonlinear steady-state equation is solved using a modified version of He's homotopy perturbation method. The effect of several operating parameters on the flow hydromagnetic is discussed. The results indicated that for the considered case, t = 1:5 is the moment after which the time-dependent transient motion of the fluid can be approximated with the steady-state motion, described by the steady-state solution. It is clear that, after this value of time t the time-dependent transient solution can be neglected.

AB - The problem of transient flow of incompressible third grade fluid on the two-dimensional magnetohydrodynamic (MHD) flow in a porous space is analyzed. The flow is generated due to the motion of the plate in its plane with a periodic velocity. Under the flow assumptions, the governing nonlinear partial differential equation is transformed into steady-state and transient nonlinear equations. The reduced equation for the transient flow is solved analytically using symmetry approach while the nonlinear steady-state equation is solved using a modified version of He's homotopy perturbation method. The effect of several operating parameters on the flow hydromagnetic is discussed. The results indicated that for the considered case, t = 1:5 is the moment after which the time-dependent transient motion of the fluid can be approximated with the steady-state motion, described by the steady-state solution. It is clear that, after this value of time t the time-dependent transient solution can be neglected.

KW - Analytical solutions

KW - Magnetohydrodynamic

KW - Periodic wall

KW - Porous space

KW - Third-grade fluid

KW - Transient flow

UR - http://www.scopus.com/inward/record.url?scp=84953791832&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84953791832&partnerID=8YFLogxK

M3 - Article

VL - 9

SP - 509

EP - 517

JO - Journal of Applied Fluid Mechanics

JF - Journal of Applied Fluid Mechanics

SN - 1735-3572

IS - 1

ER -