This method is also useful for solving nonlinear differential equations; it also provides an effective and efficient way of solving a wide range of problems. In this paper, we have used the Elzaki transform method for solving the two tank mixing problems, which was an application of first ...
Two examples have been chosen from the literature derived from the works of Pell and Aris, and Aris and Amundson who approached these problems through linearization techniques. The limitations of linearization, qualitatively pointed out by these authors, have been evaluated in quantitative terms in ...
Before leaving this section, we will solve two example problems. First we will compute the slosh frequencies for a “rigid” water storage tank, and then for a “rigid” propellant tank on a launch vehicle accelerating at four times the acceleration due to gravity. We will assume that the ...
It will be seen from these equations that the surface tension of the liquid σ has a marked effect on the differential pressure required to detach the bubble from the orifice. For a given orifice size, a smaller bubble will be formed in a hydrocarbon than will be formed in water because ...
Dynamics and Solutions to Some Control Problems for Water-Tank Systems. Investigates the technique to base the control design on wave equations describing the fluid surface dynamics. Provision of flatness-based algorithm by lin... Petit,Nicolas,Rouchon,... - 《IEEE Transactions on Automatic Control...
Recently, particle methods, which are also known as mesh-free CFD, have been applied to tank sloshing problems. Because particle methods are fully Lagrangian and truly mesh-free approaches, mesh handling is not necessary and a significantly deformed free surface can be captured intuitively without ...
physical fields. However, due to the complexity of the geometry and boundary conditions, it is difficult to derive an analytical solution to the equations when the assumptions are difficult to determine. Consequently, the solution of such problems typically depends on numerical simulations and model ...
Google Share on Facebook integral fuel tank A fuel tank formed by sealing off a part of the aircraft structure to use it for the storage of fuel. The most common form of integral tanks are those in the wings, calledwet wings. The problems with wet wings are their greater vulnerability to...
The site has now been online over two years, and traffic has grown every month, with august of 2017 was the best month yet, with well over 24k visitors. The new data sheets I have created for the guns and tanks have been very popular. I will be adding more as time allows. I’ve ...
Tani, A.: Free boundary problems for the incompressible Euler equations. Sūrikaisekikenkyūsho Kōkyūroku, 862:237–248, 1994. Radder, A. C.: An explicit Hamiltonian formulation of surface waves in water of infinite depth. J.Fluid.Mech, 237:435–455, 1992. CrossRef Wagata, L.: Absorb...