Jet induced radial flow on a wall without gravity

A jet induced radial flow on a wall at the absence of gravity is investigated using scaling analysis with two-dimensional (2D) axisymmetric numerical simulation. Scaling analysis demonstrates that there exist five possible scenarios in dynamical evolution of such a jet induced radial flow for the Weber number larger than unity (or drops for the Weber number smaller than unity). In a typical scenario, the jet induced radial flow may travel under different regimes, which could be inertial regime, viscous regime, and surface tension regime. The scaling laws have been proposed under different regimes. When the motion distance is larger than D, the velocity and thickness of jet induced radial flow are scaled with V and D2V−1t−1 in the inertial regime and then with Re1/6D1/2V1/2t−1/2 and Re−1/3D in the viscous regime, respectively. The critical distance at which surface tension starts to become dominant may be proportional to We1/2Re1/6D. Furthermore, two-dimensional axisymmetric numerical simulation has been conducted to characterize the transient radial flow and validate the selected scaling laws. It was demonstrated that the selected scaling laws are consistent with the numerical results.