(b) Fig.3.(a)Distribution of gradient of squ ion (VB"L (b)vec (-CRaPrB22)under the non-gravitational condito Ra=1x10 Ra=5×1 yRa=1×10 7Ra=1x10 rnthe(e)m iddle)and solid phase temperature (right)for Da-10-3,H-10 and 2-05 under the non (装+岁需柴-照”品 Fluid phase energy equation VK 偿 w要+-（德-功间 Solid phase energy equation: -1+) 0=1-9k(++- (14) +PygB(T;-To) (12)qf e2 u @v @x þ v @v @y  ¼ @p @y lf j v qf 1:75 ffiffiffiffiffiffiffiffiffi 150 p ðu2 þ v2Þ 1=2 ffiffiffi j p v e3=2 þ lf e @2 v @x2 þ @2 v @y2 ! 1 þ 1 T0b  v0bðTf T0Þ 2lm @ðb2 Þ @y þ qf gbðTf T0Þ ð12Þ Fluid phase energy equation: ðqcpÞf u @Tf @x þ v @Tf @y  ¼ ekf @2 Tf @x2 þ @2 Tf @y2 ! þ hðTs TfÞ ð13Þ Solid phase energy equation: 0 ¼ ð1 eÞks @2 Ts @x2 þ @2 Ts @y2 ! þ hðTf TsÞ ð14Þ Fig. 3. (a) Distribution of gradient of square magnetic induction (rB2 ), (b) vectors of the magnetizing force (CcRaPrhfrB2 /2) under the non-gravitational condition. Fig. 4. Effect of cRa number on the streamlines (left), fluid phase temperature (middle) and solid phase temperature (right) for Da = 103 , H = 10 and e = 0.5 under the non￾gravitational convection. 102 C. Jiang et al. / International Journal of Heat and Mass Transfer 91 (2015) 98–109