The equations of the linearized first post-Newtonian approximation to general relativity are often written in ‘‘gravitoelectromagnetic’’ Maxwell-like form, since that facilitates physical intuition. Damour, Soffel, and Xu (DSX) (as a side issue in their complex but elegant papers on relativistic celestial mechanics) have expressed the first post-Newtonian approximation, including all nonlineari...

where T is the stress tensor, p the hydrostatic pressure, S the extra-stress tensor, A the first RivlinEricksen tensor and μ the dynamic viscosity. Many common fluids show this “Newtonian” behavior and in fact the whole discipline of classical fluid mechanics is based upon this equation. However, the constitutive equation (1) does not show any of the normal stress effects or relaxation phenomen...

This paper shows a new numerical technique for the FEM calculation of the electromagnetic torque in a rotating electric machine. This is an extension of the well-known Maxwell stress tensor method, applied to circular paths that lie entirely in the airgap of rotating machines. Applications allow to evaluate the effectiveness of the method.

We evaluate the quantum correlators associated with the Maxwell field vacuum distorted by the presence of plane parallel material surfaces. Regularization is performed through the generalized zeta funtion technique. Results are applied to a local analysis of the atractive and repulsive Casimir effect through Maxwell stress tensor. Surface divergences are shown to cancel out when stresses on bot...

We re-examine the Boussinesq hypothesis of an effective turbulent viscosity within the context of simple closure considerations for models of strong magnetohydrodynamic turbulence. Reynolds-stress and turbulent Maxwell-stress closure models will necessarily introduce a suite of transport coefficients, all of which are to some degree model-dependent. One of the most important coefficients is the...

This work presents a numerical technique for simulating incompressible, isothermal, viscoelastic flows of fluids governed by the upper-convected Maxwell (UCM) and K–BKZ (Kaye–Bernstein, Kearsley and Zapas) integral models. The numerical technique described herein is an extension of the GENSMAC method to the solution of the momentum and mass conservation equations to include integral constitutiv...

In this paper we characterize the source-free Einstein-Maxwell spacetimes which have a trace-free Chevreton tensor. We show that this is equivalent to the Chevreton tensor being of pure-radiation type and that it restricts the spacetimes to Petrov types N or O. We prove that the trace of the Chevreton tensor is related to the Bach tensor and use this to find all Einstein-Maxwell spacetimes with...

The classical electromagnetic and gravitomagnetic fields in the vacuum, in (3 + 2) dimensions, described by the Maxwell-Nordström equations, are quantized. These equations are rederived from the field tensor which follows from a fivedimensional form of the Dirac equation. The electromagnetic field depends on the customary time t, and the hypothetical gravitomagnetic field depends on the second ...