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The thermal resistances for the convection of the two fluids and the conduction through the tube wall are added in series. For the air convection term, the resistance is multiplied by the overall fin array efficiency, o , which compensates for the lack of uniform temperature over the surface area of the fins [49]. The overall fin array efficiency is defined as: (5.29) The fin area (Af) is the surface area of a single fin: A 2Lw ff 1 N A 1 oAf s,out (5.30) The surface area of the exterior of all of the tubes and fins for the entire heat exchanger (As,out) is given by: The individual fin efficiency is: fff A A A N NAA (5.31) (5.32) (5.33) (5.34) f,tot ch,tot row ch f A 2N N wtL s,b row tube t t t tanhmLc f m 2h 1/2 Here, the fin thickness of 0.1 mm is 0.22% of the fin width of 45.4 mm so the approximation is assumed to be valid. Note that the contact resistance between the fins and tubes has been neglected. The air side heat transfer coefficient was found using the Colburn j factor correlation proposed by Chang and Wang [50, 51] for louvered fins. The correlation is valid for corrugated fin geometries with louver pitch Reynolds numbers in the range of 100 to 3,000. The following s,out s,b mLc Here, m represents the following expression: kwtf The approximation for m is appropriate where fin width is much greater than the fin thickness. 92PDF Image | WASTE HEAT RECOVERY FROM A HIGH TEMPERATURE DIESEL ENGINE
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