On a differential equation of atmospheric diffusion
Abstract
Exact closed solutions of the following equation of diffusiony^{m} (∂c/∂x) = D ∂ (y^{n} ∂ c/∂y)/∂y where m and n are considered to be independent, are obtained for the following cases: (1) diffusion from a linesource embedded in a smooth surface; (2) diffusion from a smooth surface; (3) vapor concentration in the wake of an evaporating surface. The solutions for Cases (1) and (2) belong to the similaritysolution category. Dimensional analysis has been used in the systematic search for such solutions in as concise a manner as possible. The solution for Case (3) can be obtained from those for Cases (1) and (2). Diffusion in Couette flow is given as an example.
 Publication:

Transactions, American Geophysical Union
 Pub Date:
 1952
 DOI:
 10.1029/TR033i001p00008
 Bibcode:
 1952TrAGU..33....8Y