Solidification of a supercooled liquid in stagnation-point flow

Modeling of trichlorofluoromethane hydrate formation in a w/o emulsion submitted to steady cooling

“…For temperatures above the melting temperature the function J (T ) is close to zero. On the contrary, as supercooling increases J (T ) also increases exponentially and very quickly [8,28].…”

Mathematical Models and Numerical Solutions of Liquid-Solid and Solid-Liquid Phase Change

“…In almost all cases the fluid is treated as Newtonian fluid. In some cases [16] the fluid is also considered inviscid. Sharp-interface models generally force (set) the relative movement of the material particles to be zero in the solid phase [17,18].…”

Solidification of Two-Dimensional Viscous, Incompressible Stagnation Flow

“…[17] T{n) -T T ~ T (14) and using nondimensional quantities for the time as T, distance from the x axis as x, and distance from the z axis as z, Eqs. …”

“…Concentrating upon the stagnation flow, the solidification of an inviscid fluid at an interface and the effect of its phenomena on morphological instability is investigated by Brattkus et al [12]. The Stefan problem for inviscid stagnation flow by two methods and the solidifying of super-cooled liquid stagnation inviscid flow are considered by Rangel and Lambert [13,14], respectively, in which a numerical solution to the problem using an interface tracking method is compared to analytical solutions for the instantaneous similarity and quasi-steady state. Additionally, the solidification of a viscous stagnation fiowwas investigated by Rangel and Bian [15] with the pressure consideration only along the flow and not along the boundary layer and by applying the method of instantaneous similarity, the temperature field, the solid-liquid interface location, and its growth rate that is valid for the initial stages of solidification were obtained.…”