Thermal Analysis of Laminar Fluid Film Under Side Cyclic Motion Available to Purchase

An analytical study is presented for a constant-thickness incompressible laminar one-dimensional fluid film undergoing cyclic side motion. The fluid film is bounded by a stationary and a cyclically-moving wall. The heat flux is calculated at both the stationary and moving boundaries. Formulas are presented for the frictional resistance and power dissipation at the moving wall. Application is made to the varying-thickness fluid film between an eccentric round shaft with reciprocating axial motion and its stationary cylindrical housing. In the analysis, quantities assumed constant are the pressure along the edges of the fluid film, its properties, and the temperature along each of the two walls bounding the fluid. The lateral dimensions of the fluid film are assumed large compared to its thickness such that end effects can be neglected.