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<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 />I <br />I <br />I <br />I <br />I <br /> <br />x(t + 6t) = x(t) + u6t <br /> <br />(3.85) <br /> <br /> <br />- 79 - <br /> <br />(b) Non-Glaciated Conditions <br /> <br />(N < N ) <br />o c <br /> <br />In this case the ice particles may grow both by diffusion and riming. The <br /> <br />growth equation from eqns. (3~67) and (3.69) is <br /> <br />dM _ 2 <br />dt - nr (Vc - Vd)EX + 8rGSi <br /> <br />(3.86) <br /> <br />or using eqn. (3.72) <br /> <br />dr rl-b 2 <br />dt = ~ (nr (Vc - Vd)EX + 8rGSi] <br /> <br />(3.S7) <br /> <br />The total fall velocity of the ice particle is given by <br /> <br />dz d <br />dt = w - cr <br /> <br />(3.8S) <br /> <br />WhCllthp. particles are small we may put E = 0, and <br /> <br />r(t + 6t) <br /> <br />= [r(t)b-l + SGSi (b_l)6t]l/b-l <br />ab <br /> <br />(3.89) <br /> <br />z{t + 8t) = z(t) + W8t <br /> <br />abc[r(t + 6t)b+d-l _ r{t)b+d-l] <br />S{b+d-l)GS. <br />1 <br /> <br />(3.90) <br />