Extended Surface Heat Transfer

Kraus, Allan D.; Aziz, Abdul; Welty, James R.

doi:10.1002/9780470172582

Cited by 217 publications

(335 citation statements)

References 0 publications

Supporting

Mentioning

322

Contrasting

Unclassified

Order By: Relevance

“…[6]), ρ is the density, is the specific heat capacity, T is the temperature distribution, is the time and X is the space variable. Assuming that the fin tip is adiabatic (insulated) and the base temperature is kept constant, then the boundary conditions are given by [6], T ( L) = T and ∂T ∂X X =0 = 0 (2) and initially the fin is kept at the ambient temperature,…”

Section: Mathematical Modelsmentioning

confidence: 99%

“…Based on the one dimensional heat conduction, the energy balance equation is then given by (see e.g. [6])…”

Section: Mathematical Modelsmentioning

confidence: 99%

“…In particular fins are used extensively in various industrial applications such as the cooling of computer processors, air conditioning and oil carrying pipe lines. A well documented review of heat transfer is presented by Kraus et al [6]. Fin problems have attracted some interest from the symmetry analysts.…”

Section: Introductionmentioning

confidence: 99%

“…Fins or extended surfaces are important elements for increasing the efficiency and effectiveness of heating systems. A fin is used to enhance heat dissipation from a hot surface through its convective, radiative, or convectiveradiative surface [6]. In particular fins are used extensively in various industrial applications such as the cooling of computer processors, air conditioning and oil carrying pipe lines.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Conservation laws and associated Lie point symmetries admitted by the transient heat conduction problem for heat transfer in straight fins

Ndlovu

Moitsheki

2013

Open Physics

View full text Add to dashboard Cite

Abstract:Some new conservation laws for the transient heat conduction problem for heat transfer in a straight fin are constructed. The thermal conductivity is given by a power law in one case and by a linear function of temperature in the other. Conservation laws are derived using the direct method when thermal conductivity is given by the power law and the multiplier method when thermal conductivity is given as a linear function of temperature. The heat transfer coefficient is assumed to be given by the power law function of temperature. Furthermore, we determine the Lie point symmetries associated with the conserved vectors for the model with power law thermal conductivity.PACS (

show abstract

Section: Mathematical Modelsmentioning

confidence: 99%

“…Based on the one dimensional heat conduction, the energy balance equation is then given by (see e.g. [6])…”

Section: Mathematical Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Conservation laws and associated Lie point symmetries admitted by the transient heat conduction problem for heat transfer in straight fins

Ndlovu

Moitsheki

2013

Open Physics

View full text Add to dashboard Cite

show abstract

“…They also serve as one of the pillars of thermal science. Books and articles on heat exchangers appear regularly, [1][2][3][4][5][6][7][8][9][10] and they document the permanent interest in this subject.…”

mentioning

confidence: 99%

The constructal size of a heat exchanger

Bejan

Lorente

Martins

et al. 2017

Journal of Applied Physics

View full text Add to dashboard Cite

The architecture of heat exchangers is a classical subject that has been studied extensively in the past. In this paper, we address the fundamental question of what the size of the heat exchanger should be, in addition to what architectural features it should have. The answer to the size question follows from the tradeoff between (1), the useful power lost because of heat transfer and fluid flow and (2), the power destroyed during transportation, manufacturing, and maintenance. Changes in heat exchanger size induce changes in the opposite sign in the power requirements (1), and (2). This fundamental tradeoff regarding size is illustrated by considering one side of a heat exchanger (one flow passage) in laminar flow and in fully rough turbulent flow, with several duct cross sectional shapes and arrays of channels in parallel. The size tradeoff is present in heat exchanger applications across the board, from vehicles to stationary power plants.

show abstract

Extreme Two‐Phase Cooling from Laser‐Etched Diamond and Conformal, Template‐Fabricated Microporous Copper

Palko

Lee

Zhang

et al. 2017

Adv Funct Materials

View full text Add to dashboard Cite

This paper reports the first integration of laser-etched polycrystalline diamond microchannels with template-fabricated microporous copper for extreme convective boiling in a composite heat sink for power electronics and energy conversion. Diamond offers the highest thermal conductivity near room temperature, and enables aggressive heat spreading along triangular channel walls with 1:1 aspect ratio. Conformally coated porous copper with thickness 25 µm and 5 µm pore size optimizes fluid and heat transport for convective boiling within the diamond channels. Data reported here include 1280 W cm −2 of heat removal from 0.7 cm 2 surface area with temperature rise beyond fluid saturation less than 21 K, corresponding to 6.3 × 10 5 W m −2 K −1 . This heat sink has the potential to dissipate much larger localized heat loads with small temperature nonuniformity (5 kW cm −2 over 200 µm × 200 µm with <3 K temperature difference). A microfluidic manifold assures uniform distribution of liquid over the heat sink surface with negligible pumping power requirements (e.g., <1.4 × 10 −4 of the thermal power dissipated). This breakthrough integration of functional materials and the resulting experimental data set a very high bar for microfluidic heat removal.

show abstract

Extended Surface Heat Transfer

Cited by 217 publications

References 0 publications

Conservation laws and associated Lie point symmetries admitted by the transient heat conduction problem for heat transfer in straight fins

Conservation laws and associated Lie point symmetries admitted by the transient heat conduction problem for heat transfer in straight fins

The constructal size of a heat exchanger

Extreme Two‐Phase Cooling from Laser‐Etched Diamond and Conformal, Template‐Fabricated Microporous Copper

Contact Info

Product

Resources

About