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| Multistage solving of one-dimensional plate melting convection process by dimensionless method under third boundary condition |
| 1.School of Mechanical and Energy Engineering, Tongji University, Shanghai 201804, China; 2.School of Architecture Engineering, Liaoning Technical University, Fuxin, Liaoning 123000, China |
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Abstract To investigate the characteristics of each melting heat transfer process of plate, the one-dimensional convective melting process of a finite thickness layer was solved under the third boundary condition, and the phase change material was considered to be taken away by the surrounding fluid in time after melting. The heat transfer process was divided into three stages, and calculation model of each heat transfer stage was built respectively. A cubic heat balance integral method was used to obtain the approximate solution of each stage. The changing regulation of phase interface was discussed with Stefen number(Ste), Biot number(Bi) and dimensionless temperature of environment (θa) as control parameters. The results show that the plate melting process can be divided into 3 phases in the condition of Biθa>3, on the contrary, it can be divided into 2 phases.For different control parameters, the changing rates of dimensionless position of the phase interface (H)and dimensionless time（τ） are relatively small at the beginning of melting with big linear changing rate at latter stage.When other control parameters are unchanged, with the decreasing of Ste and increasing of Bi or θa, the total melting dimensionless time is decreased, while the change rates of H and τ are increased.
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Received: 22 December 2014
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2015, Vol. 36 
