Abstract
The flow regime in a transverse feed groove is considered and various assumptions to make the problem amenable to theoretical analysis are discussed. A finite-difference method for solving the varying viscosity, two-dimensional Navier–Stokes equations is described. A non-uniform mesh is used and dissipation is taken into account. The flow is assumed to be laminar. Solutions are given for flow in square and rectangular grooves for efflux Reynolds numbers in the range 1–50. Values are given for circulation flow, hot oil carry-over, friction, ram pressure and Nusselt number. It is suggested that the Nusselt number for flow in a transverse groove has a constant characteristic value which could be of value to designers once firmly established.
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