Fig. 1 Two-step analysis methodology of Shaw et al.—replace channeled core by elastic orthotropic solid core for PCHE global analysis followed by local submodel EPP analysis with detailed channel geometry and thermomechanical loading [ 4 ] More

Fig. 2 Total strain along the length of 2 × 2 counterflow submodel at center shown in Fig. 1 for the Time Step II of the 5th cycle More

Fig. 3 V-notched bar model (Model I) under tension for global and submodel local analyses More

Fig. 4 Equivalent total strain along V-notch root from global and submodel EPP analyses: ( a ) coarse global and refined submodel (inconsistent) mesh (Model I-Case I) and ( b ) consistent global and submodel fine (converged) mesh (Model I-Case II); D is V-notch bar width/depth More

Fig. 5 Single channel block global model with coarse mesh and submodel with refined mesh for EPP (inconsistent mesh Model II-Case I) analysis More

Fig. 6 Equivalent total strain along channel corner from global coarse mesh and submodel refined mesh (inconsistent mesh Model II-Case I) EPP analysis More

Fig. 7 Equivalent total strain along channel corner from global model and submodel with consistent refined mesh for (Model II-Case II) EPP analysis More

Fig. 8 Single channel block model with orthotropic solid coarse mesh for global elastic analysis and refined mesh submodel with detailed channel geometry and pressure loading for (Model II-Case III) EPP analysis More

Fig. 9 Equivalent total strains along channel corner from Model II-Cases I to III submodel analyses More

Fig. 10 Laboratory scaled PCHE model (Model III) dimension details More

Fig. 11 PCHE loading histories prescribed in the analysis: ( a ) channel pressure history, ( b )channel fluid temperature history, and ( c ) average temperature profile for global analysis of the PCHE core, and hot and cold temperatures for submodel analysis More

Fig. 12 PCHE channeled coarsely meshed global model and refined mesh submodel for Model III-Case I EPP analysis More

Fig. 13 PCHE orthotropic solid core coarsely meshed global model and channeled refined mesh submodel for inconsistent mesh Model III-Case II EPP analysis More

Fig. 14 Temperature profiles from the PCHE global thermal analyses at the end of the dwell time (time-step—III in Fig. 11 ): ( a ) Model III-Case I and ( b ) Model III-Case II More

Fig. 15 Temperature profiles from the submodel thermal analyses at the end of the dwell time (time-step—III in Fig. 11 ): ( a ) Model III-Case I and ( b ) Model III-Case II More

Fig. 16 Equivalent total strains along channel corner of submodel at the end of dwell period of the 5th cycle from the Model III-Case I and II analyses More

Fig. 17 Equivalent total strains along channel corner of submodel for 5 cycles from the Model III-Case I and II analyses More

Fig. 1 Schematic diagram of the testing platform: ① reservoir; ② suction pipe; ③ reciprocating pump; ④discharge pipe; ⑤ flow control valve; ⑥ data acquisition equipment; and ⑦ pressure sensor More