A second-order approximate algebraic splitting is used to decouple the velocity and pressure calculations leading to an algebraic Helmholtz equation for each component of the velocity and a consistent Poisson equation for the pressure.
This makes the nonlinear behaviour of a member curved in space very complicated, making it difficult to obtain a consistent differential equation of equilibrium for the nonlinear analysis of members curved in space.
By using Hamilton's principle, the variational consistent equation of motion in matrix form corresponding to the third-order shear deformation theory is derived.
The derived model was the most consistent equation in both cases of water saturation comparison, with average water saturation values being close to those from core analysis.
A self-consistent equation of observed-computed activity was assumed to give maximum correlation efficiency for those situations in which the direct correlations gave non-significant statistical information.
The structure of laminar unquenched and quenched flames is analysed and a consistent G-equation valid for both flame types is derived.
For the mass based pellet equations, a consistent set of equations is obtained holding only the mass averaged velocity.
Variationally consistent equations of motion and end boundary conditions are derived in a systematic fashion up to arbitrary order for extensional and flexural displacement cases.
Using the three-dimensional equations of motion for micropolar continuum, variationally consistent equations of motion and end boundary conditions are derived in a systematic fashion up to arbitrary order.
Consistent equations of motion and boundary conditions are derived by means of Hamilton's principle.
Consistent equations of motion and boundary conditions are derived via the application of Hamilton's principle.
