For example, even though we only used 182, 90, and 92 experimental measurements, respectively, in three complex engineering examples from the sections “Turbulent Rayleigh–Bénard convection”, “Vapor depression dynamics in laser–metal interaction” and “Porosity formation in 3D printing of metals...
Examples of Singular Limits in Hydrodynamics Nader Masmoudi, in Handbook of Differential Equations: Evolutionary Equations, 2007 1.1 Dimensionless parameters Writing the system in its dimensionless form allows us to compare the relative influence of the several terms appearing in the equations. Moreover,...
Some examples of this are that behavior with respect to the existence of shock waves is characterized by Mach number, and behavior with respect to turbulent flow is characterized by Reynolds number. Many dimensionless parameters were in use before the formal basis for the method of physical ...
Other examples are pressure p and pressure derivative p′, after being converted into dimensionless, they are expressed as pD and p′D: (2.3a)pD=0.5428khΔpqμB (2.3b)p′D=0.5428khΔp′qμB It is especially important to note that the pressure derivative in well test analysis is defined...
The effects of variations in this quantity on the dependent variables resulting from the DA is presented in Figure 9. For all below cases, the pressure ratio was kept at the same level. Figure 9. Influence of 𝑝𝑡𝑖𝑛/𝑁𝜇ptin/Nμ on axial Reynolds number, outlet swirl ratio,...
Four examples of Kovasznay flow, steady two-dimension and three-dimension backward-facing step flow, and unsteady flow around a circular cylinder are calculated by using LSFEM and Fluent software, respectively [41]. The results show that the accuracy of LSFEM is higher than that of FVM, and...