Analytical Solutions for Cloud-Drop Concentration

David B. Johnson State Water Survey Division, Illinois Institute of Natural Resources, Urbana 61801

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Abstract

This note compares and evaluates the analytical solutions of Squires and Twomey for cloud droplet concentration. Either solution is likely to be fairly accurate (±30%) when the slope parameter (β) of the cloud condensation nuclei distribution is small (β<0.8). For large β errors increase rapidly and both solutions are likely to underestimate the actual drop concentration by a wide margin.

Abstract

This note compares and evaluates the analytical solutions of Squires and Twomey for cloud droplet concentration. Either solution is likely to be fairly accurate (±30%) when the slope parameter (β) of the cloud condensation nuclei distribution is small (β<0.8). For large β errors increase rapidly and both solutions are likely to underestimate the actual drop concentration by a wide margin.

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