Mathematical modelling of the application of lane conditioner to a Tenpin bowling lane

Abstract

We construct a mathematical model to describe the application of lane conditioner (oil) onto an initially dry bowling lane via lane machines that use Kegel Sanction® Technology. The model consists of two coupled first order ordinary differential equations which describe the volume of oil on each of the brushes present in the oiling mechanism. Unknown parameters are fitted to best give certain features of the Highway to Hell oil pattern. The model, with the fitted parameters, is validated by using it to plot the Boardwalk oil pattern where certain key features are described well according to physical measurements of the actual oil pattern. The model is also shown to capture the need for the lane machine to dress two lanes before the output of oil becomes consistent.