Extended surface heat transfer by Allan D. Kraus

By Allan D. Kraus

A much-needed reference targeting the idea, layout, and purposes of a large variety of floor varieties. * Written by means of 3 of the best-known specialists within the box. * Covers compact warmth exchangers, periodic warmth stream, boiling off finned surfaces, and different crucial subject matters.

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77) θ (x) = √ I0 43 2 mb The heat flow through the base of the fin is obtained by making the transformation √ u ≡ 43 2 mb1/4 x 3/4 Then, because at x = b u(x = b) = ub = 4 3 √ 2 mb after transformation of eq. 79) Values of η as a function of mb have been plotted from eq. 79)7 in Fig. 2. 5: Spines of Different Profiles. Spines of cylindrical, conical, concave parabolic and convex parabolic, profiles are exposed to surroundings at a temperature of 25°C via a heat transfer coefficient of h = 40 W/m2 · K.

63) applies with m = (4h/kδ)1/2 . 63) is identical with eq. 59). Hence the temperature excess and the efficiency will be given by eqs. 62), respectively, as long as the proper value of m is employed. 21 Cross section for the elliptical spine. 64) * Elliptical Spine. The cross section for the elliptical spine is shown in Fig. 21, where it may be noted that the semimajor and semiminor axes are designated, respectively, by δ1 and δ2 . 59) but with m= hP kA 1/2 p2 p4 p6 h(δ1 + δ2 ) 1+ + + + ··· = k(δ1 δ2 ) 4 64 256 1/2 The temperature excess and the fin efficiency are given by eqs.

52) k=0 The coefficients, a0 , a1 , a2 , a3 , . . are all related by a recurrence relationship, and it is determined by looking at the coefficients, A1 , A2 , A3 , . . with p = 0. 55) 40 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 CONVECTION WITH SIMPLIFIED CONSTRAINTS Use of eqs. 55) in eq. 52) allows a computation of the heat flow and the fin efficiency. A plot of the efficiency is shown in Fig. 17. 5 Radial Fin of Least Material A discussion of the longitudinal fin that yields minimum weight is presented in Chapter 3.

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