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3-1 Regenerators 37 which is 450 MPa at a temperature of 538◦C for titanium [57]. The pressure difference depends on the regenerator operating conditions. The plate thickness is calculated considering the channels as thick cylindrical pressure vessels [16]. Since the titanium alloy can be considered a ductile material, the failure mode is associated with the maximum shear stress, τMAX= RI2PI . R O2 − R I 2 It is possible to obtain plate thickness δ from the last expression, DCH PI 0.5 δ= 2 τ +1 . MAX (3-4) (3-5) The internal radius RI is replaced by the channel diameter DCH/2. Likewise, the external radio, RO is replaced by the plate thickness δ. The yield shear stress is approximately 0.6 the tensile stress under nominal conditions [58]. Assuming this ratio as constant, the resultant shear stress is 270 MPa. Now it is possible to obtain the wall and plate thickness as a function of the internal channel pressure and the pressure difference between channels. The results are shown in Figure 3-4. 0.25 0.2 0.15 0.1 0.05 0 100 200 300 400 ∆P [bar] 500 600 0.84 0.83 0.82 0.81 0.8 0.79 0.78 0.77 0.76 100 200 300 400 PI [bar] 500 600 (a) Horizontal wall thickness. (b) Plate thickness. Figure 3-4: PCHE wall thickness and plate thickness as a function of the pressure difference and the internal pressure. Both the wall and plate thickness can be very small according to the results in Figure 3-4. Song reports a vertical wall thickness (DCH/2−δ in Figure 3-3) of 1 mm. However, values as small as 0.5 mm are reported as well [59]. The latter value is taken in this work, which gives a horizontal pitch and plate thickness of 2.01 mm. 3-1-3 Overall heat transfer coefficient The general equation for heat transfer reads Q ̇ =UA∆TLM, (3-6) Master of Science Thesis J.S. Bahamonde Noriega t [mm] δ [mm]PDF Image | Design method for s-CO2 gas turbine power plants
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