THERMAL SCIENCE
International Scientific Journal
MAGNETO-THERMOCAPILLARY-BUOYANCY CONVECTION IN A SQUARE CAVITY WITH PARTIALLY ACTIVE VERTICAL WALLS
ABSTRACT
Effect of magnetic field on combined surface tension and buoyancy convection in an enclosure with partially active vertical walls is investigated numerically. The active part of the left side wall is at a higher temperature than the active part of the right side wall. The bottom and the inactive parts of the side walls are adiabatic and capillary forces occur at the top free surface. The governing equations are discretized by the finite volume method. The results are obtained for Pr = 0.054, 0 ≤ Ha ≤ 100, 0 ≤ Ma ≤ 10000, and 2.104 ≤ Gr ≤ 2.106. The flow structure and temperature field were presented by streamlines and isotherms respectively. The surface tension effect of is manifested by increasing Marangoni number. The application of magnetic field was found to control the flow and to oppose the capillary effects.
KEYWORDS
PAPER SUBMITTED: 2018-01-26
PAPER REVISED: 2018-04-21
PAPER ACCEPTED: 2018-04-24
PUBLISHED ONLINE: 2018-05-12
THERMAL SCIENCE YEAR
2019, VOLUME
23, ISSUE
Issue 6, PAGES [3433 - 3442]
- Yu P.X., Qiu J.X., Qin Q., Zhen F.T, "Numerical investigation of natural convection in a rectangular cavity under different directions of uniform magnetic field", International Journal of Heat and Mass Transfer Vol.67 (2013) pp.1131-1144.
- Cen X., Li Y.S., Zhan J.,"Three dimensional simulation of melt flow in Czochralski crystal growth with steady magnetic fields", Journal of crystal growth Vol.340 (2017) pp.135-141.
- James N., Dubljevic S., "Optimal boundary control of a diffusion-convection-reaction PDE model with time-dependent spatial domain: Czochralski crystal growth process", Chemical Engineering Science Vol.67 (2012) pp.111-119.
- Grants I., Gerbeth G., "Rayleigh-Bernard instability of Czochralski configuration in a transverse magnetic field", Journal of Crystal Growth Vol.358 (2012) pp.43-50.
- Satunkin G., "Modeling the dynamics and control design for Czochralski, Liquid Encapsulated Czochralski and Floating Zone processes", Progress in crystal growth and characterizations materials Vol.56 (2010) pp.1-121.
- Kandaswamy P., MalligaSundari S., Nithyadevi N., ‘'Magnetoconvection in an enclosure with partially active vertical walls'', International journal of heat and mass transfer Vol.51 (2008) pp.1946-1954.
- Rudraiah N., Venkatachalappa M., Subbaraya C.K., ‘'Combined surface tension and buoyancy-driven convection in a rectangular open cavity in the presence of a magnetic field'', Int. J. Non-Linear Mechanics, Vol.30(5) (1995) pp.759-770.
- Hamimid S., Amroune A., ‘'Marangoni-Natural Convection in Liquid Metals in the Presence of a Tilted Magnetic Field'', FDMP, Vol.6(4) (2010) pp.369-384.
- Hossain M.A., Hafiz M.Z., Rees D.A.S., ‘'Buoyancy and thermocapillary driven convection flow of an electrically conducting fluid in an enclosure with heat generation'', International Journal of Thermal Sciences Vol.44 (2005) pp.676-684.
- Rahimi A., Kasaeipoor A., Malekshah E.H., Kolsi L., Experimental and numerical study on heat transfer performance of three-dimensional natural convection in an enclosure filled with DWCNTs-water nanofluid- experimental and numerical analysis. Powder Technology, Vol. 322 (2017), pp. 340-352.
- Salari M., Malekshah E.H., Malekshah M.H., Alavi M., Hajihashemi R., 3D numerical analysis of natural convection and entropy generation within tilted rectangular enclosures filled with stratified fluids of MWCNTs/water nanofluid and air, Journal of the Taiwan Institute of Chemical Engineers, Vol. 80 (2017), pp. 624-638.
- Kolsi L., Al-Rashed A.AAA., Al-Salem K., Oztop H.F., Borjini M.N., "Control of natural convection via inclined plate of CNT-water nanofluid in an open sided cubical enclosure under magnetic field" International Journal of Heat and Mass Transfer, Vol.111 (2017), pp.1007-1018.
- Kolsi L., Lajnef E., Aich W., Alghamdi A., Aichouni M.A., Borjini M.N., Ben Aissia H., "Numerical investigation of combined buoyancy-thermocapillary convection and entropy generation in 3D cavity filled with Al2O3 nanofluid. Alexandria Engineering Journal, Vol.56 (2017) pp.71-79.
- Maatki C., Ghachem K., Kolsi L., Hussein A.K, Borjini M.N., Ben Aissia H., "Inclination effects of magnetic field direction in 3D double-diffusive natural convection" Applied Mathematics and computation. Vol.273 (2016) pp.178-189.
- Mahian O., Pop I., Sahin A.Z., Oztop H.F., Wongwises S.. Irreversibility analysis of a vertical annulus using TiO2/water nanofluid with MHD flow effects, International Journal of Heat and Mass Transfer, Vol. 64, (2013), pp. 671-679.
- Mahian O., Oztop H., Pop I., Mahmud S., Wongwises S., Entropy generation between two vertical cylinders in the presence of MHD flow subjected to constant wall temperature, International Communications in Heat and Mass Transfer, Vol. 44, (2013), pp. 87-92.
- Hayat T., Hussain Z., Alsaedi A., Asghar S., Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness, Advanced Powder Technology, Vol. 27(4), (2016), pp. 1677-1688.
- Hayat T., Hussain Z., Alsaedi A., Mustafa M., Nanofluid flow through a porous space with convective conditions and heterogeneous-homogeneous reactions, Journal of the Taiwan Institute of Chemical Engineers, Vol. 70, (2017), pp. 119-126.
