Abstract
Solution growth is used for light emitting devices. The equilibrium between the solid and liquid phases becomes an advantage and also a disadvantage. In the mass-production, the crystals have good quality and this technique will be eco-friendly. Recently, introducing fluid flows in liquid solution begins to overcome that disadvantage. As a preparation to treat the flows, we consider cases without the flows because we know an analytic solution for an ideal case as shown in 2014 JSME annual meeting. In real apparatuses, the size of liquid solution is finite. Finally, the boundary layers of mole fractions for the solutes reach the end of liquid solution. We estimate the error in applying it to the finite case, using a unique method with mass conservation. The tolerances of gradients for the mole fractions on the growth interface are guaranteed within a growth time. This method will be applicable for other transport phenomena.
