This paper presents the use of artificial neural networks (ANN) to determine the solution one of the classic applications of differential equations, the mixing tank problem. An artificial neural network with feed-forward backpropagation is designed to predict the concentration of substance in the tank...
Problem 2: For the process model given in the following ODE, :determine a) Input Variables b) Output Variable .c) Time Constant τ d) Input Gains Problem3: Determine the order of each of the following differential equations, t...
The resulting set of partial differential equations is then solved by the fifth-order finite difference WENO scheme, or by the second-order finite volume AUSM MUSCL scheme. For the time integration, the second-order BDF method was used. Both schemes are combined with the artificial compressibility...
Remember, mass is what we care about due to how the problem was originally defined and reiterated during the thread. The mass can be calculated at 4 because enough time has passed for the tank to reach thermal equilibrium at room temperature. Or at least, it has absorbed enough heat to ...
In addition, due to the length of the cylindrical tank, if this tank wants to be mounted into the commercial aircraft, the sloshing problem needs to be solved to keep the weight balance. Therefore, the weight of the cylindrical tank is greater than tank in sphere shape for same capacity. ...
An algorithm for solving nonlinear stochastic differential equations due to the authors has been used for simulating the behaviour of stirred tank reactors subject to random parametric fluctuations. Two examples have been chosen from the literature derived from the works of Pell and Aris, and Aris an...
It is possible to specify a 60 ° angle of inclination to help alleviate the solids plugging problem inherent in CPIs. This requires a 40% increase in the number of packs according to the following equation: Field units (3.21a)Number of packs=0.11Qwμ(ΔSG)(dm)2. SI units (3.21b)Num...
2. Problem definition 2.1. Computational domain The research object is the double-deck floating roof tank with the storage of crude oil in the northeast of china. The tank roof is constituted by double-deck steel plate with the interlayer between them. There is no insulating layer on the roof...
If your knowledge about this topic is running a little low, you can find more information in the lesson entitled Related Rates: The Draining Tank Problem. Subject matter that is covered by this lesson includes: Real-world examples of the draining tank problem ...