### Abstract

A numerical investigation is performed on the unsteady natural convection of water based nanofluid within a wavy-walled cavity under the influence of a uniform inclined magnetic field using the mathematical nanofluid model proposed by Buongiorno. The left vertical wavy and right vertical flat walls of the cavity are kept at constant but different temperatures whereas the top and bottom horizontal walls are adiabatic. All boundaries are assumed to be impermeable to the base fluid and nanoparticles. The mathematical model formulated in dimensionless stream function, vorticity and temperature variables is solved using implicit finite difference schemes of the second order. The governing parameters are the Hartmann number, undulation number, wavy contraction ratio, inclination angle of the magnetic field relative to the gravity vector and dimensionless time. The effects of these parameters on the average Nusselt number along the hot wavy wall, as well as on the streamlines, isotherms and isoconcentrations are analyzed.

Original language | English |
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Pages (from-to) | 211-222 |

Number of pages | 12 |

Journal | Journal of the Taiwan Institute of Chemical Engineers |

Volume | 61 |

DOIs | |

Publication status | Published - 1 Apr 2016 |

### Fingerprint

### Keywords

- Magnetic field
- Nanofluid
- Numerical results
- Unsteady natural convection
- Wavy-walled cavity

### ASJC Scopus subject areas

- Chemistry(all)
- Chemical Engineering(all)

### Cite this

**Magnetic field effect on the unsteady natural convection in a wavy-walled cavity filled with a nanofluid : Buongiorno's mathematical model.** / Sheremet, Mikhail A.; Pop, Ioan; Roşca, Natalia C.

Research output: Contribution to journal › Article

*Journal of the Taiwan Institute of Chemical Engineers*, vol. 61, pp. 211-222. https://doi.org/10.1016/j.jtice.2015.12.015

}

TY - JOUR

T1 - Magnetic field effect on the unsteady natural convection in a wavy-walled cavity filled with a nanofluid

T2 - Buongiorno's mathematical model

AU - Sheremet, Mikhail A.

AU - Pop, Ioan

AU - Roşca, Natalia C.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - A numerical investigation is performed on the unsteady natural convection of water based nanofluid within a wavy-walled cavity under the influence of a uniform inclined magnetic field using the mathematical nanofluid model proposed by Buongiorno. The left vertical wavy and right vertical flat walls of the cavity are kept at constant but different temperatures whereas the top and bottom horizontal walls are adiabatic. All boundaries are assumed to be impermeable to the base fluid and nanoparticles. The mathematical model formulated in dimensionless stream function, vorticity and temperature variables is solved using implicit finite difference schemes of the second order. The governing parameters are the Hartmann number, undulation number, wavy contraction ratio, inclination angle of the magnetic field relative to the gravity vector and dimensionless time. The effects of these parameters on the average Nusselt number along the hot wavy wall, as well as on the streamlines, isotherms and isoconcentrations are analyzed.

AB - A numerical investigation is performed on the unsteady natural convection of water based nanofluid within a wavy-walled cavity under the influence of a uniform inclined magnetic field using the mathematical nanofluid model proposed by Buongiorno. The left vertical wavy and right vertical flat walls of the cavity are kept at constant but different temperatures whereas the top and bottom horizontal walls are adiabatic. All boundaries are assumed to be impermeable to the base fluid and nanoparticles. The mathematical model formulated in dimensionless stream function, vorticity and temperature variables is solved using implicit finite difference schemes of the second order. The governing parameters are the Hartmann number, undulation number, wavy contraction ratio, inclination angle of the magnetic field relative to the gravity vector and dimensionless time. The effects of these parameters on the average Nusselt number along the hot wavy wall, as well as on the streamlines, isotherms and isoconcentrations are analyzed.

KW - Magnetic field

KW - Nanofluid

KW - Numerical results

KW - Unsteady natural convection

KW - Wavy-walled cavity

UR - http://www.scopus.com/inward/record.url?scp=84953438828&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84953438828&partnerID=8YFLogxK

U2 - 10.1016/j.jtice.2015.12.015

DO - 10.1016/j.jtice.2015.12.015

M3 - Article

VL - 61

SP - 211

EP - 222

JO - Journal of the Taiwan Institute of Chemical Engineers

JF - Journal of the Taiwan Institute of Chemical Engineers

SN - 1876-1070

ER -