Temperature T in the liquid:
                               k Ñ2 T + V ¶ T/¶ z = 0
Conservation of energy:                        Melting temperature:
    -LV vn = k ¶T/¶n                                      T = TM 
Far-field boundary condition (bath temperture):
                                   T ® T¥ = TM - DT
Steady-State Isothermal Model of Dendritic Growth
k =  thermal diffusivity                 LV = latent heat per unit volume
V = dendrite growth velocity         k =  thermal conductivity
Characteristic scales: choose DT for (T – TM) and 2k/V for length.
Note: ¶T/¶z is a solution if T is.