Computation of conjugate natural convection heat transfer from a rectangular fin on a partially heated horizontal base

Mobedi, Moghtada; Saidi, Arash; Sundén, Bengt

doi:10.1007/s002310050198

Cited by 6 publications

(10 citation statements)

References 7 publications

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“…(9)(10)(11)(12)(13)(14)] has been solved numerically for different values of the parameters s and Prandtl number. Equation for the nondimensional n temperature is handled by means of a pseudotransient procedure that amounts to rewriting Eq.…”

Section: Numerical Methods and Resultsmentioning

confidence: 99%

“…(9)(10)(11)(12)(13)(14)] for large values of s can be sought as a regular expansion in powers of s ¡7=4 , which is the small parameter dictated by the relationship (3). The solution can then be written as Carrying these expansions into the nondimensional equations (9), (11), and (12), and the boundary conditions, and keeping terms up to order s ¡7=2 for the solid and up to order s ¡7=4 in the uid, we obtain the following set of equations.…”

Section: Short Finsmentioning

confidence: 99%

“…A similar study using an integral formalism was made by Himasekhar 7 for a very long n, whereas Sarma et al 8 studied heat-generating ns assuming prescribed velocity and temperature pro les. Recently, Mobedi et al 9 solved the conjugate conduction-natural convection heat transfer problem for a rectangular n attached to a partially heated horizontal base for air in laminar and steady ow.…”

Section: Introductionmentioning

confidence: 99%

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Natural Convective Conjugate Cooling Mechanism in Vertical Fins

Treviño

Luna

Méndez

et al. 2003

Journal of Thermophysics and Heat Transfer

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An analysis is presented of the conjugate free convective heat transfer from a vertical, thermally thin n heated from above to the surrounding uid. An estimate is presented of the thermal penetration length over which the temperature of a very long n would decrease from its maximum value at the top to the ambient temperature of the uid. The solution of the problem is shown to depend on two nondimensional parameters: the Prandtl number of the uid and the ratio s of the thermal penetration length to the actual length of the n. The overall heat transfer rate for thermally short ns (large s) is practically independent of the n material, whereas it depends on the thermal conductivity of the n when s is small. Numerical and asymptotic results are given covering the whole range of s. Nomenclaturetemperature gradient de ned in Eq. (51) g = gravity acceleration h = half-thicknessof the n L = length of the n L ¤ = thermal penetration length de ned in Eq. (1) Nu = Nusselt number de ned in Eq. (15) Pr = Prandtl number of the uid, º½C p =Q = total heat ux at the top of the n Ra ¤ = Rayleigh number, ½cg¯1T L ¤3 =¸º Ra h = Rayleigh number based on the half-thickness of the n Ra L = Rayleigh number based on the length of the n s = ratio of L ¤ to L T 0 = temperature at the top of the n T 1 = temperature of the uid far from the n U; V = nondimensional longitudinal and transverse velocity components, respectively, de ned in Eq. (39) x; y = Cartesian coordinates, longitudinal and transverse, respectively z = nondimensional transverse coordinate de ned in Eq. (39) = thermal expansion coef cient of uid " = aspect ratio of the n, h=L nondimensionaltransverse coordinate de ned in Eq. (8) µ = nondimensionaltemperature of uid de ned in Eq. (8) µ w = nondimensionaltemperature of the n de ned in Eq. (7) = thermal conductivity of uiḑ w = thermal conductivity of the n º = kinematic coef cient of viscosity of uid ½ = density of uid ¾ = nondimensionallongitudinal coordinate de ned in Eq. (39) Â = nondimensionallongitudinal coordinate de ned in Eq. (7) Ã = stream function for uid

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Section: Numerical Methods and Resultsmentioning

confidence: 99%

Section: Short Finsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Natural Convective Conjugate Cooling Mechanism in Vertical Fins

Treviño

Luna

Méndez

et al. 2003

Journal of Thermophysics and Heat Transfer

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“…They investigated the effect of the conduction-convection parameters on temperature field, heat transfer coefficient and heat flux from the fin. Mobedi et al [5] have solved a conjugate conduction-natural convection heat transfer problem for a rectangular fin attached to a partially heated horizontal base. They carried out their study for air when the flow is laminar and steady.…”

Section: Introductionmentioning

confidence: 99%

Natural convection heat transfer from a thermal heat source located in a vertical plate fin

Mobedi

Sundén²

2006

International Communications in Heat and Mass Transfer

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A steady state conjugate conduction-convection investigation is performed on vertical plate fin in which a small heat source is located. Heat from the fin surface is transferred to the surroundings by laminar natural convection. The governing equations for the problem are the heat conduction equation for the fin and the boundary layer equations, which are continuity, momentum and energy equations, for the fluid. A computer program is written by using the finite difference method in order to solve the governing equations which are nonlinear and coupled. The best location of the heat source in the fin for maximum heat transfer rate depends on two parameters which are the conduction-convection parameter and the Prandtl number. The obtained results have shown that for the fin with large conduction-convection parameter, a heat source location for maximum heat transfer rate exists.

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“…Application of earlier calorimetric or interferometric techniques mostly dealt with large fin arrays, except [14,15], which studied miniaturized horizontal plate-fin arrays. The literature survey showed that there are also two numerical studies without assumption of boundary layer flow adjacent to the fin [21,22]. The first was on a rectangular fin on a partially heated horizontal base and the other on a short horizontal rectangular fin array.…”

mentioning

confidence: 99%

Concurrent calorimetric and interferometric studies of steady-state natural convection from miniaturized horizontal single plate-fin systems and plate-fin arrays

Harahap

Lesmana²,

Sambegoro

2010

Heat Mass Transfer

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Concurrent calorimetric and interferometric studies have been conducted to investigate the effect that reduction of the base-plate dimensions has on the steady-state performance of the rate of natural convection heat transfer from miniaturized horizontal single plate-fin systems and plate-fin arrays. The effect was studied through comparison of the present results with those of earlier relevant calorimetric, interferometric, or numerical studies. Results shown that a reduction of the base-plate area by 74 percent increased natural convection coefficient by 1.5 times to 26.0 W m-2 K-1 for single fin systems and by 1.8 times to 18 W m-2 K-1 for fin arrays in the range of the base-plate temperature excess of 20-50 ºC. A simple correlation for the Nusselt number of miniaturized horizontal platefin arrays is proposed in the range of Rayleigh number divided by the number of fins to the 2.7 power from 2x10 to 5x10 5. List of symbols A Heat transfer surface area, m 2 Gr Grashof number h Local natural convection heat transfer coefficient, Wm-2 K-1 , defined by (3) h Average natural convection heat transfer coefficient, Wm-2 K-1 , defined by (1)

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Computation of conjugate natural convection heat transfer from a rectangular fin on a partially heated horizontal base

Cited by 6 publications

References 7 publications

Natural Convective Conjugate Cooling Mechanism in Vertical Fins

Natural Convective Conjugate Cooling Mechanism in Vertical Fins

Natural convection heat transfer from a thermal heat source located in a vertical plate fin

Concurrent calorimetric and interferometric studies of steady-state natural convection from miniaturized horizontal single plate-fin systems and plate-fin arrays

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