Unstable mold flow could induce surface velocity and level fluctuations, and entrain slag, leading to surface defects during continuous casting of steel. Both argon gas injection and ElectroMagnetic Braking (EMBr) greatly affect transient mold flow and stability. Part I of this two-part article investigates transient flow of steel and argon in the nozzle and mold during nominally steady-state c...

We derive several algorithms for the busy period distribution of the canonical Markovian fluid flow model. One of them is similar to the Latouche–Ramaswami algorithm for quasi-birth–death models and is shown to be quadratically convergent. These algorithms significantly increase the efficiency of the matrix-geometric procedures developed earlier by the authors for the transient and steady-state...

Analytical solutions for non-steady flow are an important aspect of mathematical modeling in all fields of computational science. An analytical solution provides an exact solution for a specific (simplified) test case, which then can be used to test and verify numerical solutions. Within soil physics, there has been a multitude of analytical solutions that model transient flow through onedimens...

For Diesel engines, the determination of the exit conditions of the injector nozzle flow is of great importance because it greatly influences the spray development inside the combustion chamber and hence the combustion process. In addition, it is relevant to know the flow conditions to provide the initial conditions for spray models. Since the possibility of experimentally observing and measuri...

flow in the first two-stage of v 94.2 gas turbine is simulated numerically. in this turbine, the second stator is clocked relative to the first stator to different positions. steady-state analysis was carried out by varying the circumferential relative position of the consecutive stator vanes to study the effects of the clocking on turbine performance. a density based compressible inviscid flow...

Front propagation in two-dimensional steady and unsteady cellular flows is investigated in the limit of very fast reaction and sharp front, i.e., in the geometrical optics limit. For the steady flow, a simplified model allows for an analytical prediction of the front speed v f dependence on the stirring intensity U , which is in good agreement with numerical estimates. In particular, at large U...