Date of Award
Master of Science in Chemical Engineering - (M.S.)
George C. Keeffe
C. L. Mantell
The purpose of this work was to study and measure the factors influencing crystal growth.
Approximately 250 single crystals of CuSO4.5H2O were grown under controlled conditions of supersaturation, solution velocity, and temperature.
The data from this work indicates that:
(a) Crystal growth rate is independent of crystal size for the size range covered (4 to 12 mesh).
(b) Crystal growth rate is directly proportional to the degree of supersaturation, or driving force for each concentration of solution studied.
(c) Crystal growth rate varies exponentially with the velocity of the solution passing the crystal
RD = f(um)
(d) The value of the exponent "m" increases as the temp-erature (and concentration) of the growth solution increases. This indicates that there must be more than one dimensionless group containing the velocity term.
The following empirical equations were obtained for the four different solutions used:
Solution A - Saturation temperature = 28° C.
Log RD/ΔC = 0.240 Log u + 0.2900
Solution B - Saturation temperature = 37° C.
Log RD/ΔC = 0.265 Log u + 0.5682
Solution C - Saturation temperature = 47° C.
Log RD/ΔC = 0.288 Log u + 0.6128
Solution D - Saturation temperature = 58° C.
Log RD/ΔC = 0.407 Log u + 0.6721
(e) The following empirical equation was derived which composites the above equations and which effectively summarizes all the data in this work:
RD = 30,000 ΔCu2e (-2950u.143/τ)
The velocity range in this work was from 2.2 to 20.6 centimeters per second.
Hansen, Arthur Oswald, "Linear growth rates of single copper sulfate crystals" (1954). Theses. 2256.