Radiation Fin Effectiveness

Bartas, J. G.; Sellers, W. H.

doi:10.1115/1.3679882

Cited by 77 publications

(26 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…-00 4 (5) where 7 = at 0 /x 0 2 and 12 == /3t Q T bi *. The boundary conditions on the problem being considered are now 0(0,r) = and (d0/c>X)(co, T ) = 0 with the initial condition 0(X,0) -0 0 (X)…”

Section: Governing Equation For Transient Conduction In a One-dimmentioning

confidence: 99%

Analytical solution for transient flow of energy in a one-dimensional radiating fin.

Chapman

Russell

1968

AIAA Journal

View full text Add to dashboard Cite

An analytical solution is presented for the transient flow of energy in a one-dimensional, semi-infinite fin in the presence of a zero irradiation environment with nonlinear radiation at its surface. This analytical solution is obtained by the application of a similarity analysis that reduces the partial differential equation for the temperature distribution in the fin to an ordinary differential equation. The ordinary differential equation is then solved numerically, and the results are applied to the calculation of the heat flux from the fin. The results are compared with quasi-steady-state calculations to demonstrate the validity of such calculations. NomenclatureC p = specific heat k = thermal conductivity T = temp, deg absolute Tb = fin base temperature Tbi = initial base temperature of fin t = time to, XQ = arbitrary constants x,y,z = distance Zj = dependent variable in numerical calculations evaluated at r = r Zj,i = dependent variable in numerical calculations evaluated at a value of the independent variable of f y + A£ thermal diff usivity = 6<7/pCp\ j = € 0 X p a emissivity nondimensional temperature thickness of fin density Stefan-Boltzmann constant nondimensional variable given by Eq. (11) nondimensional variable given by Eq. (18)

show abstract

Section: Governing Equation For Transient Conduction In a One-dimmentioning

confidence: 99%

Analytical solution for transient flow of energy in a one-dimensional radiating fin.

Chapman

Russell

1968

AIAA Journal

View full text Add to dashboard Cite

show abstract

“…This radiator is a true radiator in that all heat leaving its surfaces does so by radiation [1]. The basic mechanism of heat transfer in a space radiator or a fin array is conduction combined with radiation in a nonparticipating medium, and the heat transfer characteristics of simple, one-dimensional, radiating fins have been studied extensively [1][2][3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…The basic mechanism of heat transfer in a space radiator or a fin array is conduction combined with radiation in a nonparticipating medium, and the heat transfer characteristics of simple, one-dimensional, radiating fins have been studied extensively [1][2][3][4][5][6][7][8][9][10][11]. Bartas and Sellers [1] studied a heat rejecting system consisting of parallel tubes joined by web plates that served as extended surfaces. Wilkins Jr. [2] gave expressions for the optimum proportion of triangular fins radiating to space at absolute zero.…”

Section: Introductionmentioning

confidence: 99%

“…The analysis of space radiators, frequently provided in published literature, e.g. [1][2][3][4][5][6][7][8], is based upon the assumption that the thermal conductivity of the fin material is constant. However, since the temperature difference of the fin base and its tip is high in the actual 1359-4311/$ -see front matter Ó 2005 Elsevier Ltd. All rights reserved.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimum design of space radiators with temperature-dependent thermal conductivity

Arslantürk

2006

Applied Thermal Engineering

View full text Add to dashboard Cite

“…Numerical solutions of the radiating fin problem using difference equations and computers have been published by Chambers and Somers [2], Lieblein [3], Bartes and Sellers [4], and Callinan and Berggren [5]. Wilkins [6] and Liu [7] treated the problem of the minimum mass fin.…”

mentioning

confidence: 99%

An exact general solution for the temperature distribution and the composite radiation convection heat exchange along a constant cross-sectional area fin

Shouman¹

1968

Quart. Appl. Math.

View full text Add to dashboard Cite

Abstract.An exact general solution is obtained for the nonlinear differential equation governing the one-dimensional steady-state heat exchange by composite radiation and convection along constant area fins with uniform temperature at the base and an arbitrary temperature gradient at the other end. The fin can dissipate or receive energy. The fin is assumed to have constant thermal properties, and the radiant interaction between the fin and the base surfaces is neglected.Introduction.Although the subject of heat transfer from fins and extended surfaces has been studied analytically and experimentally for almost two centuries [1], the subject of radiating fins has only recently come under extensive study because of the interest in space and space travel. The assumption is usually made that the end of the fin farthest from the base is insulated.Numerical solutions of the radiating fin problem using difference equations and computers have been published by Chambers and Somers Since convection heat transfer sometimes accounts for a significant portion of the exchange of heat, the purpose of this paper is to present the exact and general solutions for heat exchange by means of radiation-convection along a constant area fin with constant thermal properties.The problem and its solution. The general case of a fin with a constant crosssectional area of arbitrary shape is considered herein. For reasons which will be made clear later, the positive x axis is chosen in the direction of increasing temperature for the case in which the fin transfers heat to the surroundings and in the direction of decreasing temperature for the case in which the fin receives heat from the surroundings. Assuming constant thermal properties, the steady-state one-dimensional heat flow equation is written as

show abstract

Radiation Fin Effectiveness

Cited by 77 publications

References 0 publications

Analytical solution for transient flow of energy in a one-dimensional radiating fin.

Analytical solution for transient flow of energy in a one-dimensional radiating fin.

Optimum design of space radiators with temperature-dependent thermal conductivity

An exact general solution for the temperature distribution and the composite radiation convection heat exchange along a constant cross-sectional area fin

Contact Info

Product

Resources

About