The shell-and-tube exchanger shown in Fig. 1.125

(a) can be modeled as shown in Fig. 1.125

(b) for a simplified vibration analysis. Find the cross-sectional area of the tubes so that the total stiffness of the heat exchanger exceeds a value of \(200 \times 10^{6} \mathrm{~N} / \mathrm{m}\) in the axial direction and \(20 \times 10^{6} \mathrm{~N}-\mathrm{m} / \mathrm{rad}\) in the tangential direction. Assume that the tubes have the same length and cross section and are spaced uniformly.

Transcribed Image Text:

O 1 m 76 steel tubes Effect of baffles neglected 0 (a) Practical-type heat exchanger FIGURE 1.125 Shell-and-tube exchanger. 2 m (b) Simplified model