Greenwell, Markham and Rosenberger (1981)

An interesting and relevant (in the context of §6.1.3) result from the numerical study by Greenwell et al. (1981) at $\varPhi =0.944$ is that while viscous interaction of the transpiration-induced flow with the nonslip connecting walls was found to cause radial variations in the vapour mass fraction field, the overall mass transfer rate still agreed with the one-dimensional prediction to within the limits of computational accuracy ($\pm0.5\%$). The Boussinesq assumption was not made. The cylinders considered had lengths from 0.5 to 10 times the radius. Surprisingly, the nonslip connecting walls caused the greatest departures from the one-dimensional behaviour not for long cylinders, but when the length was nearly equal to the radius, or when `the ``redistributing walls'' are not too remote from the core of the fluid'.