What happen experimentally if I increase the gap between two plates of hele-shaw cell. Is it still gives finger formation and how to write it's mathematical expression?
Increasing the gap between the two plates of a Hele-Shaw cell leads to a decrease in the viscous drag and therefore slower flow, which may affect the finger formation. Generally, the finger formation process in a Hele-Shaw cell can be described mathematically by the Saffman-Taylor instability equations, which model the flow of two immiscible fluids in a confined space. The Saffman-Taylor equations can be written in terms of the dimensionless variables such as the gap width, viscosity ratio, and surface tension. The solutions to these equations reveal the behavior of the fluids and the patterns that emerge, including finger formation. However, the exact expression depends on the specific experimental setup of the Hele-Shaw cell and the fluids being used.
- Badges
- Science topic