The original paper reported a heat transfer gain of up to 80% of the optimized elliptical tubes arrangement with respect to the optimized circular one. In fact, the actual heat transfer gain found experimentally is up to 23% only. Therefore corrections are needed in the paper, as follows.

(1) Abstract: correct to “…A relative heat transfer gain of up to 23% (Re2b=10,600)” and “…A relative heat transfer gain of 23% is.”

(2) Section 4 Results and Discussion:

  • Correct Eq. (10) to “q̃*,mmm=1299.5+0.47003Re2b+0.000034064Re2b2, R=0.99053

  • Correct the 7th paragraph to: “In sum, a heat transfer gain of up to 23% was observed.”

(3) Section 5 Conclusions: correct the 2nd paragraph to “…The three-way optimized elliptic arrangement exhibits a heat transfer gain of up to 23% relative to.”

(4) Figures3,4 need to be replaced by the following ones with the corrected results.

Figure 3
(a) Two-way optimization of finned circular arrangements with respect to tube-to-tube and fin-to-fin spacing and (b) three-way optimization of finned arrangements with respect to tube-to-tube spacing, eccentricity and fin-to-fin spacing
Figure 3
(a) Two-way optimization of finned circular arrangements with respect to tube-to-tube and fin-to-fin spacing and (b) three-way optimization of finned arrangements with respect to tube-to-tube spacing, eccentricity and fin-to-fin spacing
Close modal
Figure 4
The three-way maximized dimensionless heat transfer rate with respect to Re2b
Figure 4
The three-way maximized dimensionless heat transfer rate with respect to Re2b
Close modal