Integral invariants for non-barotropic flows in a four dimensional space time manifold

Publication date: Available online 10 July 2019Source: Physics Letters AAuthor(s): Susan Mathew Panakkal, M.J. VedanAbstractProperties of non-barotropic flows are described using Lie derivatives of differential forms in a Euclidean four dimensional space-time manifold. Vanishing of the Lie derivative implies that the corresponding physical quantity remains invariant along the integral curves of the flow. Integral invariants of non-barotropic perfect and viscous flows are studied using the concepts of relative and absolute invariance of forms. The four dimensional expressions for the rate of change of the generalized circulation, generalized vorticity flux, generalized helicity and generalized parity in the case of ideal and viscous non-barotropic flows are thereby obtained.

Source: Physics Letters A - July 12, 2019 Category: Physics Source Type: research