Performance of Thermally Radiating Fractal Extended Surfaces of Varying Cross-Section

Author(s):  
David Calamas ◽  
Philip Hines
1971 ◽  
Vol 93 (1) ◽  
pp. 19-23 ◽  
Author(s):  
D. R. Cash ◽  
G. J. Klein ◽  
J. W. Westwater

For extended surfaces used in boiling liquids, the specified fin-base temperature may be such as to result in simultaneous nucleate, transition, and film boiling at adjacent positions on the fins. If the fins are spines of circular cross section, the optimum shape to minimize the volume of metal resembles a turnip, as shown by Haley and Westwater. The object of the new study was to develop easy-to-machine shapes using cones and cylinders. It was shown mathematically that two cones, base-to-base, give an excellent approximation to the turnip shape. Three such fins were constructed of copper and tested in Freon-113 at atmospheric pressure. The measured, peak heat duties were 5 to 70 percent higher than the predicted values, proving that the design method is conservative.


2021 ◽  
Vol 143 (6) ◽  
Author(s):  
Alok Ranjan ◽  
Ranjan Das ◽  
Sagnik Pal ◽  
Arindam Majumder ◽  
Madhujit Deb

Abstract Proper dissipation of thermal energy has always been a need for desirable efficiency of a system. Extended surface aids in releasing the heat to the immediate surrounding by inducing an extra area. This particular work assesses thermal and fluid flow behavior of extended surfaces with circular and elliptic shaped cross section. Extended surfaces of unvaried cross section are mounted over a square plate arrayed in a staggered manner. With the aid of different thermofluidic parameters, the elliptic shaped pin fin is established to provide a higher thermal performance enhancement of nearly 15% over cylindrical pin fin at inlet flow velocity of 2.35 m/s. Further, for elevating the interaction between the surface of the fin and the fluid, elliptic fins are reoriented to form a split. In contrast to cylindrical shaped fin, modification using split shows better result with the highest heat transfer increment of nearly 25%. Further, in order to maximize Nusselt number (Nu), a single objective cuckoo search optimization analysis is done by adopting the response surface method. After analyzing the optimization, it is found that the maximum value of Nu is obtained at dimensionless transverse offset (TO*) = 0.125 and dimensionless longitudinal offset (LO*) = 0, which has been further validated with the numerical result within 0.97% accuracy. Further, for the cylindrical fin, the present simulations agree with the available empirical correlation within 6.22% accuracy.


1982 ◽  
Vol 104 (4) ◽  
pp. 616-623 ◽  
Author(s):  
D. Poulikakos ◽  
A. Bejan

This paper establishes a theoretical framework for the minimization of entropy generation (the waste of exergy, or useful energy) in extended surfaces (fins). The entropy generation rate formula for a general fin is derived first. Based on this general result, analytical methods and graphic results are developed for selecting the optimum dimensions of pin fins, rectangular plate fins, plate fins with trapezoidal cross section, and triangular plate fins with rectangular cross section.


Author(s):  
Ashok D. Parekh ◽  
Jyotirmay Banerjee ◽  
Mahendra B. Maisuria ◽  
Vimal K. Patel

Extended surfaces or fins are used to enhance the heat transfer rate between a solid and adjoining fluid. An experimental investigation is carried out in the present work to establish the heat transfer characteristic for fins made of varying material and varying cross section. Three different fin sections, circular, square and triangular are considered for the study. Aluminum, brass and copper fins with varying cross section along the length are tested under steady state. Experimental set up consists of a constant temperature bath to maintain desired thermal boundary condition at one end of the fin. Copper constantan thermocouples are used to measure the temperature at different sections of the fin. The experimental results of temperature distribution of the fins are compared with the analytical and numerical results. The effectiveness of fins along the length for all section and materials is also compared.


1988 ◽  
Vol 102 ◽  
pp. 71-73
Author(s):  
E. Jannitti ◽  
P. Nicolosi ◽  
G. Tondello

AbstractThe photoabsorption spectra of the carbon ions have been obtained by using two laser-produced plasmas. The photoionization cross-section of the CV has been absolutely measured and the value at threshold, σ=(4.7±0.5) × 10−19cm2, as well as its behaviour at higher energies agrees quite well with the theoretical calculations.


Author(s):  
J. Langmore ◽  
M. Isaacson ◽  
J. Wall ◽  
A. V. Crewe

High resolution dark field microscopy is becoming an important tool for the investigation of unstained and specifically stained biological molecules. Of primary consideration to the microscopist is the interpretation of image Intensities and the effects of radiation damage to the specimen. Ignoring inelastic scattering, the image intensity is directly related to the collected elastic scattering cross section, σɳ, which is the product of the total elastic cross section, σ and the eficiency of the microscope system at imaging these electrons, η. The number of potentially bond damaging events resulting from the beam exposure required to reduce the effect of quantum noise in the image to a given level is proportional to 1/η. We wish to compare η in three dark field systems.


Author(s):  
V. Mizuhira ◽  
Y. Futaesaku

Previously we reported that tannic acid is a very effective fixative for proteins including polypeptides. Especially, in the cross section of microtubules, thirteen submits in A-tubule and eleven in B-tubule could be observed very clearly. An elastic fiber could be demonstrated very clearly, as an electron opaque, homogeneous fiber. However, tannic acid did not penetrate into the deep portion of the tissue-block. So we tried Catechin. This shows almost the same chemical natures as that of proteins, as tannic acid. Moreover, we thought that catechin should have two active-reaction sites, one is phenol,and the other is catechole. Catechole site should react with osmium, to make Os- black. Phenol-site should react with peroxidase existing perhydroxide.


Author(s):  
J. P. Colson ◽  
D. H. Reneker

Polyoxymethylene (POM) crystals grow inside trioxane crystals which have been irradiated and heated to a temperature slightly below their melting point. Figure 1 shows a low magnification electron micrograph of a group of such POM crystals. Detailed examination at higher magnification showed that three distinct types of POM crystals grew in a typical sample. The three types of POM crystals were distinguished by the direction that the polymer chain axis in each crystal made with respect to the threefold axis of the trioxane crystal. These polyoxymethylene crystals were described previously.At low magnifications the three types of polymer crystals appeared as slender rods. One type had a hexagonal cross section and the other two types had rectangular cross sections, that is, they were ribbonlike.


Author(s):  
Thomas S. Leeson ◽  
C. Roland Leeson

Numerous previous studies of outer segments of retinal receptors have demonstrated a complex internal structure of a series of transversely orientated membranous lamellae, discs, or saccules. In cones, these lamellae probably are invaginations of the covering plasma membrane. In rods, however, they appear to be isolated and separate discs although some authors report interconnections and some continuities with the surface near the base of the outer segment, i.e. toward the inner segment. In some species, variations have been reported, such as longitudinally orientated lamellae and lamellar whorls. In cross section, the discs or saccules show one or more incisures. The saccules probably contain photolabile pigment, with resulting potentials after dipole formation during bleaching of pigment. Continuity between the lamina of rod saccules and extracellular space may be necessary for the detection of dipoles, although such continuity usually is not found by electron microscopy. Particles on the membranes have been found by low angle X-ray diffraction, by low temperature electron microscopy and by freeze-etching techniques.


Author(s):  
R.D. Leapman ◽  
P. Rez ◽  
D.F. Mayers

Microanalysis by EELS has been developing rapidly and though the general form of the spectrum is now understood there is a need to put the technique on a more quantitative basis (1,2). Certain aspects important for microanalysis include: (i) accurate determination of the partial cross sections, σx(α,ΔE) for core excitation when scattering lies inside collection angle a and energy range ΔE above the edge, (ii) behavior of the background intensity due to excitation of less strongly bound electrons, necessary for extrapolation beneath the signal of interest, (iii) departures from the simple hydrogenic K-edge seen in L and M losses, effecting σx and complicating microanalysis. Such problems might be approached empirically but here we describe how computation can elucidate the spectrum shape.The inelastic cross section differential with respect to energy transfer E and momentum transfer q for electrons of energy E0 and velocity v can be written as


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