Impact of slip boundary on sloshing motions in partially filled containers

Abstract

Sloshing is a kind of fluid motion inside partially filled containers. In spacecraft and other partially filled moving containers, sloshing plays an important role. The contact line between the fluid and solid boundary affects the fluid movement and sloshing during motion. A physical model for steady fluid flow with a partial slip boundary is presented and equations for this model are derived for cylindrical (tube-shaped) tanks. This gives a nonlinear system of differential equations that is solved numerically by using a Successive Over-Relaxation (SOR) technique and graphical results are shown. Variations in steady fluid flow are observed with changes in the slip length and some useful results are derived. The effects on the microscopic radius of the fluid layer in a capillary tube are also shown through graphical results. [10] found very useful results for sloshing parameters by observing the changes in frequency and transverse force with sloshing parameter variation. In the ideal case, the solid boundaries of a container experience no slipping, although most of the time some slippage on the boundaries will occur. Sloshing of fluids with such boundaries makes the system more complex. In more recent times, slippage has been discussed in the case of non-Newtonian fluids with solid/gas interfaces and for some special surfaces [12][13][14][15]. Evidence for slip-

Additive Runge-Kutta methods for H2/O2/Ar detonation with a detailed elementary chemical reaction model

“…LIRK3 is the least efficient of the four remaining methods on this particular problem, followed by Ascher (3,4,3). The most accuracy efficient methods are ARK3(2)4L [2]SA and Ascher (2,3,3), shown in Figure 6 compares Calvo LIRK4 and ARK4(3)6L [2]SA at stiffness extremes showing that ARK4 (3)6L [2]SA is not only more accurate but increasingly so as the stiffness is increased.…”

“…The practical implicit methods for gaseous detonation simulation can be categorized into two classes, i.e. the time-splitting method and the additive semi-implicit method [2,3].The time-splitting methods [4][5][6][7][8], resolve the source term of reactive Euler equations into ( ) ( ),   t …”

“…The practical implicit methods for gaseous detonation simulation can be categorized into two classes, i.e. the time-splitting method and the additive semi-implicit method [2,3].…”