We prove the Coleman’s conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.

in this paper, convection heat transfer of al2o3-water nanofluid turbulent flow through internally ribbed tubes with different rib shapes (rectangular, trapezoidal and semi-circular) is numerically investigated. for each rib shape, the optimum geometric ratio and volume fraction were calculated using entropy generation minimization technique. the governing equations in steady state and axisymme...

control of sedimentation in dam reservoirs is considered to be one of the most important issues in exploitation of dams and increasing the their useful life. reservoirs act as traps for sediments and prevent transport of sediment to the river. the deposited sediment decreases the capacity of reservoirs so that they can not be in use any more. various methods dealing with removing part of the de...

heat transfer mechanisms and the solidification process are simulated for a continuous casting machine and the geometric shape of the liquid pool is predicted considering different conditions. a heat transfer and solidification model is described for the continuous casting of steel slabs. the model has been established on the basis of the technical conditions of the slab caster in the continuou...

Desiccant wheels are widely used in buildings to control humidity and reduce energy consumption. A model is presented based on transient coupled heat and mass transfer, to model, design and analyze the effects of geometrical characteristics of a honeycombed rotary desiccant wheel and its performance. Governing equations are solved numerically using finite volume method and the model is validate...

A new unstructured grid, finite volume ocean model is described, that is suitable for flooding and drying problems. Here we derive the finite volume analogue of the P 1 −P1 finite element, by interpreting the advective term in the continuity equation in a flux sense. A corresponding non-overlapping control volume is then selected for the momentum equation. The resulting model employs the median...

Numerical modeling of machining processes is of significance in the parametric analysis and optimization of their performance. In this paper, a finite element-based model of abrasive waterjet (AWJ) cutting of a ductile material is presented with the help of an explicit, nonlinear finite element method. In this model, both solid-solid interaction and fluid-structure interaction are considered. T...

In this paper, we present an intensive investigation of the finite volume method (FVM) compared to difference methods (FDMs). order show main in way approaching solution, take Burgers equation and Buckley–Leverett as examples simulate previously mentioned methods. On one hand, results using schemes Lax–Friedrichs Lax–Wendroff. other apply Godunov’s scheme method. Moreover, how starting with a v...