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Mesh Independence For transient numerical simulation, the refinement of mesh is vital for the accuracy of calculation. In the process of the above numerical solution, the characteristic direction of zz tt const has been adopted, which determines the relationship between M and N as follows: H U t (19) MN Thus once the packed bed along its height are divided into 10, 25, 50, and 100 nodes, the space step length dz , the time grid number N, and the time step length dt are also exclusively determined. Fig.8 shows the air discharging temperature distribution under various mesh divisions. It can be seen from the figure that it’s relatively suitable to choose the spatial nodes of 25 with a space step length of 0.10 m when calculating in this numerical model to save the cost of computing time. FIGURE 8 Air discharging outlet temperature distributions of different mesh divisions EXPERIMENTAL VALIDATION Two sets of experiments, with discharging air flow rate of 100 Nm3/h (Nm3/h is a volume flow rate unit under standard state where pressure is 101.325kPa, and temperature is 0 °C) and 150 Nm3/h respectively, have been chosen to validate the above model. Table 2 shows solution conditions of the two verifying experiments, where the initial temperature continuous distribution along the packed bed is fitting curves obtained by five initial average temperature values from the five temperature testing sections along the packed bed via a quartic polynomial fit. Table 3 shows the air thermo-physical properties which are temperature dependent. TABLE 2. Solution conditions under various verifying experiments Working Conditions 150Nm3/h 100Nm3/h Initial conditions (Initial temperature throughout packed bed /°C) Boundary conditions (Air inlet temperature /°C) T 27 f _in T 25 f _in T s_0 T s_0 49.26z4 233.6z3 274.9z2 217.2z 79.31 7.74z4 12.14z3 27.71z2 285.9z 63.08 080027-7PDF Image | packed-bed thermal energy storage device
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