Three-dimensional Hiemenz stagnation-point flows

A modification of Hiemenz's two-dimensional outer potential stagnation-point flow of strain rateais obtained by adding periodic radial and azimuthal velocities of the formbrsin2 theta andbrcos2 theta, respectively, wherebis a shear rate. This leads to the discovery of a new family of three-dimensional viscous stagnation-point flows depending on the shear-to-strain-rate ratio gamma=b/athat exist over the range-infinity

Automated summary

A new family of three-dimensional viscous stagnation-point flows has been discovered by modifying Hiemenz's two-dimensional outer potential stagnation-point flow and adding periodic radial and azimuthal velocities, depending on the shear-to-strain-rate ratio gamma=b/a.