Simplified Analytical Models for Forced Convection Heat Transfer From Cuboids of Arbitrary Shape

Culham, J. R.; Yovanovich, M. M.; Teertstra, P.; Wang, C.-S.; Refai-Ahmed, Gamal; Tain, Ra-Min

doi:10.1115/1.1347993

Cited by 23 publications

(10 citation statements)

References 18 publications

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“…In cuboid model, the Nusselt number based on the characteristic length can be described by Equation and the characteristic length of the cuboid can be represented by Equation :

N u = \frac{2}{\sqrt{π}} \frac{1}{\sqrt{\frac{L_{normalP} C_{B L P}}{R e P r^{\frac{2}{3}} L_{normalC}}} bold-italic},

L_{normalC} = \sqrt{2 bold-italic true(H L + W L + H W true)}, H \leq W \leq L,

where

L_{normalP}

is the length of the flow path, obtained according to the solid steel position in the bath,

P r

is the Prandtl number obtained by Equation ,

R e

is the Reynolds number obtained by Equation ,

C_{B P L}

is boundary layer parameter

\frac{U_{\infty}}{u_{normale}}

, where

u_{normale}

is the linearized effective velocity obtained by linearization of the laminar boundary layer momentum equation. Based on the available solution methods and conditions,

C_{B L P}

is predicted between 2.13 and 2.77

P r = \frac{C_{p} μ}{K},

R e = V_{}

…”

Section: Modelingmentioning

confidence: 99%

A Computational Model for Heat Transfer Coefficient Estimation in Electric Arc Furnace

Logar

Fathi

Škrjanc

2015

steel research int.

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The paper studies the effects of solid and liquid steel properties on the heat transfer coefficient (HTC) in electric arc furnaces (EAFs). Mathematically speaking, the HTC is a function of solid and liquid steel properties. Different velocities of the bath cause different flow paths around the solid particles and therefore different HTCs-a computational issue that has not been addressed yet. Therefore, a simplified calculation model is proposed, intended for HTC estimation according to the EAF conditions. Although many studies investigated this topic, most of them either assume unconventional conditions for the EAF operation, are computationally complex or focus on a specific case; and are, therefore, hard to implement in general EAF models. The algorithm proposed in this paper introduces simplified, yet accurate equations for calculating the HTC between solid and liquid steels as a function of their properties. Due to simplicity of the algorithm, the computational times are very short; thus, the procedure can be used in online model environments in order to perform different heat-transfer-related calculations. The obtained results show high similarity with other practical and theoretical studies. Furthermore, implementation of the HTC calculation submodule in a comprehensive EAF model yielded high accuracy in steelbath temperature prediction.

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“…In cuboid model, the Nusselt number based on the characteristic length can be described by Equation and the characteristic length of the cuboid can be represented by Equation :

N u = \frac{2}{\sqrt{π}} \frac{1}{\sqrt{\frac{L_{normalP} C_{B L P}}{R e P r^{\frac{2}{3}} L_{normalC}}} bold-italic},

L_{normalC} = \sqrt{2 bold-italic true(H L + W L + H W true)}, H \leq W \leq L,

where

L_{normalP}

is the length of the flow path, obtained according to the solid steel position in the bath,

P r

is the Prandtl number obtained by Equation ,

R e

is the Reynolds number obtained by Equation ,

C_{B P L}

is boundary layer parameter

\frac{U_{\infty}}{u_{normale}}

, where

u_{normale}

is the linearized effective velocity obtained by linearization of the laminar boundary layer momentum equation. Based on the available solution methods and conditions,

C_{B L P}

is predicted between 2.13 and 2.77

P r = \frac{C_{p} μ}{K},

R e = V_{}

…”

Section: Modelingmentioning

confidence: 99%

A Computational Model for Heat Transfer Coefficient Estimation in Electric Arc Furnace

Logar

Fathi

Škrjanc

2015

steel research int.

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“…External flows have drawn considerable attention over the years. The protrusion geometry exploited in this paper also differs from other classical arrangement, as the so-called immersed body (Knudsen et al, 1997;Culham et al, 2001). Average heat transfer for isoflux rectangular semicylinders (sitting on the floor, with their axis normal to the flow) was experimentally performed first by Roeller et al (1991), in the Nu ¼ aRe b form, accounting for flow three-dimensionality and blockage.…”

Section: Introductionmentioning

confidence: 99%

Conjugate heat and mass transfer in drying: A modeling review

Caccavale¹,

Bonis

Ruocco

2016

Journal of Food Engineering

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“…For a unit the size of the LED light (approximately 5.5 x 3.5 x 6.75 inches), a convective coefficient of 0.56 BTU/hr ft' OF would be expected for the nominal airflow velocity of 25 ft/min (based on the methodology outlined in [6]). For the measured light surface emissivity of 0.85, at 1207 in a 70°F cabin, the unit has an overall conductance of 1.55 BTU/hr ft' O F to the cabin.…”

Section: Designmentioning

confidence: 99%

Touch Temperature Coating for Off-the-Shelf Electrical Equipment Used on Spacecraft

Ungar

Brady

2010

40th International Conference on Environmental Systems

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Off-the-shelf electrical equipment is frequently used in space-based applications to control costs.However, the reduced heat transfer in the spacecraft microgravity environment causes the equipment to operate at significantly higher temperatures than it would in terrestrial applications. This creates touch temperature issues where items -particularly metallic ones -become too hot for the crew to handle safely. A touch temperature coating layup has been developed that can be added to spacebased electrically powered hardware. The coating allows the crew to safely handle the hardware, but only slightly impedes the heat transfer from the component during normal operation.In the present work, the coating generic requirements are developed and a layup is described that meets these specifications. Analytical and experimental results are presented that demonstrate the ability of the coating layup to increase the allowable limits of touch temperature while only marginally degrading heat transfer to the environment. This allows the spacecraft crew to handle objects that, if not coated, would be hot enough to cause pain or skin damage. Intrndijr,tinnTo reduce costs, off-the-shelf equipment is being used more and more in the US human space program.

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Simplified Analytical Models for Forced Convection Heat Transfer From Cuboids of Arbitrary Shape

Cited by 23 publications

References 18 publications

A Computational Model for Heat Transfer Coefficient Estimation in Electric Arc Furnace

A Computational Model for Heat Transfer Coefficient Estimation in Electric Arc Furnace

Conjugate heat and mass transfer in drying: A modeling review

Touch Temperature Coating for Off-the-Shelf Electrical Equipment Used on Spacecraft

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