Compressible and nonisothermal viscoelastic flow between eccentrically rotating cylinders

Abstract A Taylor–Galerkin finite element time marching scheme is derived to numerically simulate the flow of a compressible and nonisothermal viscoelastic liquid between eccentrically rotating cylinders. Numerical approximations governing constitutive equations are computed over custom refined unstructured grid piecewise linear Galerkin elements. An original extension DEVSS formulation for fluids introduced stabilise solutions discrete problem. The predictions two models: extended White–Metzner FENE-P-MP presented. Comparisons torque load bearing capacity predicted by both models made range parameters. results highlight significant interacting effects elasticity compressibility on journal resultant load, stability system.