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5.1. NON-PULSATILE AND PULSATILE FLOW IN CURVED PIPES 37 MARS scheme is the second order scheme that gives a solution without non- physical oscillations. A blended Crank-Nicholson scheme has been used for temporal discretization. The computational domain for the single bent pipe consists of three parts, a straight section, a bend section and a second straight section, see Figure 5.1. The pipe diameter is 104 mm and the bend has a curvature radius of 208 mm, which gives a radius ratio of 4. The first section has a length of 14.5 diameters and the second straight section has a length of 12.5 diameters. For this case, a constant turbulent velocity profile is applied at the inlet. Figure 5.1. Computation domains. The diameter for the double bent pipe is 10 mm. The pipe has two bends with radius r1=10 mm and r2=15 mm, respectively. The inlet section is 12 diameters long, the section between the two bends is 2.5 diameters long and the outlet section is 6 diameters long. This pipe has a similar shape as one of the runners of an exhaust manifold found on a turbocharged IC-engine. At the pipe inlet, a time resolved mass flow pulse and temperature are specified and at the outlet a constant pressure is applied. The walls are modelled as being smooth and adiabatic. The time averaged bulk velocity is 110 m/s, which corresponds to a Reynolds number of 8900. The frequency is 50 Hz which gives a Womersley number of 8. The maximal velocity is 250 m/s, which corresponds to a Reynolds number of 20 200.PDF Image | Numerical computations of the unsteady flow in a radial turbine
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