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<br />- 72 - <br /> <br />3.3.3 <br /> <br />Critical Concentrations of Ice Particles <br /> <br />The critical concentration N of ice particles is defined as that <br />- c <br />concentration for which the total mass growth of the ice particles by <br /> <br />deposition from the vapor phase is equal to the r'ate Cy;': supply of water vapor. <br /> <br />Therefore, <br /> <br />1H <br />N ......:.. = <br />c Jt <br /> <br />c <br />....E. (Y - Y )w <br />L d m <br /> <br />(3.70) <br /> <br />where, c is the specific heat of dry air at const...r:lt pressure, Yd and Y the <br />P m <br />temperature lapse rat~s of cry a5~ and moist air respectively, and w the <br /> <br />updraft velocity of the air. In the ctise of a pla"te-like ice p;:J.rticle ~~ <br /> <br />is given by eqn. (3.67), and eqn. (3.70) beccmes <br /> <br />N = <br />c <br /> <br />c (Yd - Y );.. <br />P Tl!- <br />8LrGS. <br />1 <br /> <br />(3.71) <br /> <br />3.3.4 <br /> <br />Terminal Velocities and Masses of Ice P~rticles <br /> <br />Th,e functional dependence of the mass H and the te~inal fall speed V c <br /> <br />of an ice particle on the radius I' are assumed to be of the form <br /> <br />M = <br /> <br />b <br />a(r) <br /> <br />(3.72~ <br /> <br />and, <br /> <br />V = <br />c <br /> <br />d <br />c(r) <br /> <br />(3.73) <br /> <br />1-- <br />,1- <br />I <br />l <br />l <br />I <br />I- <br />I <br />I <br />I <br />I- <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />