Abstract
Numerical analysis of the unsteady natural convection with phase transitions inside the pure galluim under the influence of a uniform magnetic field with a heat source of constant temperature has been conducted in the presence of magnetic field. The vertical walls of the cavity are kept at low constant temperatures whereas the top and bottom horizontal walls are adiabatic with the exception of the heat source of high constant temperature. The mathematical model formulated in dimensionless stream function, vorticity and temperature variables is solved using the implicit finite difference schemes of the second order. The governing parameters are the Rayleigh and Hartmann numbers, and the dimensionless time. The effects of these parameters on the streamlines and isotherms are analyzed.
| Original language | English |
|---|---|
| Article number | 012004 |
| Journal | IOP Conference Series: Materials Science and Engineering |
| Volume | 93 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2015 |
| Event | 21st International Conference for Students and Young Scientists: Modern Technique and Technologies, MTT 2015 - Tomsk, Russian Federation Duration: 5 Oct 2015 → 9 Oct 2015 |
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ASJC Scopus subject areas
- Materials Science(all)
- Engineering(all)
Cite this
Study of melting of a pure gallium under influence of magnetic field in a square cavity with a local heat source. / Bondareva, N. S.; Sheremet, M. A.
In: IOP Conference Series: Materials Science and Engineering, Vol. 93, No. 1, 012004, 01.01.2015.Research output: Contribution to journal › Conference article
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TY - JOUR
T1 - Study of melting of a pure gallium under influence of magnetic field in a square cavity with a local heat source
AU - Bondareva, N. S.
AU - Sheremet, M. A.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - Numerical analysis of the unsteady natural convection with phase transitions inside the pure galluim under the influence of a uniform magnetic field with a heat source of constant temperature has been conducted in the presence of magnetic field. The vertical walls of the cavity are kept at low constant temperatures whereas the top and bottom horizontal walls are adiabatic with the exception of the heat source of high constant temperature. The mathematical model formulated in dimensionless stream function, vorticity and temperature variables is solved using the implicit finite difference schemes of the second order. The governing parameters are the Rayleigh and Hartmann numbers, and the dimensionless time. The effects of these parameters on the streamlines and isotherms are analyzed.
AB - Numerical analysis of the unsteady natural convection with phase transitions inside the pure galluim under the influence of a uniform magnetic field with a heat source of constant temperature has been conducted in the presence of magnetic field. The vertical walls of the cavity are kept at low constant temperatures whereas the top and bottom horizontal walls are adiabatic with the exception of the heat source of high constant temperature. The mathematical model formulated in dimensionless stream function, vorticity and temperature variables is solved using the implicit finite difference schemes of the second order. The governing parameters are the Rayleigh and Hartmann numbers, and the dimensionless time. The effects of these parameters on the streamlines and isotherms are analyzed.
UR - http://www.scopus.com/inward/record.url?scp=84947078316&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84947078316&partnerID=8YFLogxK
U2 - 10.1088/1757-899X/93/1/012004
DO - 10.1088/1757-899X/93/1/012004
M3 - Conference article
AN - SCOPUS:84947078316
VL - 93
JO - IOP Conference Series: Materials Science and Engineering
JF - IOP Conference Series: Materials Science and Engineering
SN - 1757-8981
IS - 1
M1 - 012004
ER -