An approximate solution of the stationary isothermal elastohydrodynamic problem has been obtained for a Ree Eyring fluid model also the solution’s algorithm is described for a non Newtonian fluid of an arbitrary model. The solution has been obtained for the complex hydrodynamic and thermal problem for the lubricant film of a non Newtonian fluid with its specified thickness and with a relative surface slip. The diagrams have been made for velocities, temperatures, and tangential stresses in the lubricant film. The solution enables the direct estimation of the tangential stress reduction caused by the non Newtonian fluid’s behavior as well as by the nonisothermal process by means of known theological properties (Newtonian viscosity and time of relaxation) with selected values of pressure and temperature as well as with a given velocity of slip, and with the help of simple nomograms.

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