第3类边界条件下1维平板对流融化过程的量纲一分阶段求解  

Multistage solving of one-dimensional plate melting convection process by dimensionless method under third boundary condition

作　　者：孟凡康[1,2] 于航[1] 

机构地区：[1]同济大学机械与能源工程学院,上海201804 [2]辽宁工程技术大学建筑工程学院,辽宁阜新123000

出　　处：《江苏大学学报（自然科学版）》2015年第5期533-538,共6页Journal of Jiangsu University：Natural Science Edition

基　　金：世界银行/全球环境基金资助项目(1-A-CS-014)

摘　　要：为了研究平板融化各个传热阶段的特性,以第3类边界条件下1维有限厚度平板对流融化过程为研究对象,同时考虑融化后的相变材料被周围流体及时带走,把传热过程分成3个阶段,分别建立了传热计算模型,并采用3次多项式热平衡积分方法对各阶段进行近似求解.利用推导的计算方法,以Stefen数(Ste)、Biot数(Bi)及量纲一环境温度(θa)为控制参数对相界面变化规律进行了讨论,结果表明:当Biθa>3时,平板融化过程可以分为3个阶段,相反,可以分为2个阶段;在不同控制参数条件下,融化开始阶段量纲一相界面位置(H)与量纲一时间(τ)变化率相对较小,而融化后期变化率较大,且近似呈线性关系;在其他控制参数不变的条件下,随着Ste的增小,Bi或θa的增加,整个融化过程的总融化量纲一时间减小,且H与τ变化率增大.To investigate the characteristics of each melting heat transfer process of plate,the onedimensional 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 Bi θa 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） arerelatively 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.

关 键 词：1维平板 融化传热 分阶段 热平衡积分法 第3类边界条件 

分 类 号：TK02[动力工程及工程热物理]