Summary
A tube of circular cross section whose radius is a function of a slow variable Z=(1/R)z, where z is the co-ordinate in the axial direction and R is a large streamwise Reynolds number, may be designated a slender tube. An elementary approximation to the flow in such tubes is obtained and results compared with an approximation based on the profiles obtained by Daniels and Eagles [7] for exponential slender tubes.
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Eagles, P.M., Muwezwa, M.E. Approximations to flow in slender tubes. J Eng Math 20, 51–61 (1986). https://doi.org/10.1007/BF00039322
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DOI: https://doi.org/10.1007/BF00039322