Heat transfer––a review of 2001 literature

Goldstein, R. J.; Eckert, E. R. G.; Ibele, W.E.; Patankar, S. V.; Simon, Terrence W.; Kuehn, Thomas H.; Strykowski, Paul J; Tamma, Kumar K.; Heberlein, J.; Davidson, Jane H.; Bischof, John C.; Kulacki, F. A.; Kortshagen, Uwe R.; Garrick, Sean C.

doi:10.1016/s0017-9310(02)00529-x

Cited by 39 publications

(17 citation statements)

References 1,766 publications

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“…They analyzed a method for cooling turbine blades in order to increase the resistance of the blades against the hot stream around the blades. Recently, Goldstein et al [8][9][10] have published a review of the 1999, 2000, 2001 literature on heat transfer including sections on porous media and channel flows of Newtonian and non-Newtonian fluids. Also, Kurtcebe and Erim [11] discussed numerically heat transfer of a viscoelastic fluid in a porous channel.…”

Section: Introductionmentioning

confidence: 99%

Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall

Zheng

Zhang

et al. 2011

Applied Mathematical Modelling

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a b s t r a c tThe flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the porous upper plate is investigated and an analysis is made to determine the heat and mass transfer. The unsteady Navier-Stokes equations are reduced to a generalization of the Proudman-Johnson equation retaining the effect of wall motion using a suitable similarity transformation. The analytical solution for stream function and heat transfer characteristics are obtained by employing homotopy analysis method. The effects of various physical parameters like expansion ratio, Prandtl number, Reynolds number on various momentum and heat transfer characteristics are discussed in detail.

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Section: Introductionmentioning

confidence: 99%

Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall

Zheng

Zhang

et al. 2011

Applied Mathematical Modelling

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“…In the past decades extensive experimental, numerical, and analytical studies have been conducted on this issue, although mainly on the more specific case of a rectangular cavity with differentially heated sidewalls; see for example the studies reviewed by Catton (1978), Ostrach (1982), Gebhart et al (1988), and Hyun (1994) and those regularly summarized in the annual literature reviews on heat transfer (for example Goldstein et al 2003). Patterson & Imberger (1980) carried out an investigation of the transient behaviour that occurs when the opposing two vertical sidewalls of a two-dimensional rectangular cavity are impulsively heated and cooled by an equal amount.…”

Section: Introductionmentioning

confidence: 99%

Cooling of aPr<1 fluid in a rectangular container

2007

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The flow behaviour associated with the cooling of an initially quiescent isothermal Newtonian fluid with Prandtl number Pr less than unity in a rectangular container by unsteady natural convection with an imposed lower temperature on vertical sidewalls is investigated by scaling analysis and direct numerical simulation. The flow is dominated by two distinct stages of development, i.e. the boundary-layer development stage adjacent to the sidewall and the subsequent cooling-down stage. The first stage can be further divided into a start-up stage, transitional stage, and steady-state stage. The parameters characterizing the flow behaviour are the boundary-layer thickness, the maximum vertical velocity within the boundary layer, the time for the boundary layer to reach the steady state, the Nusselt number across the sidewall at the boundarylayer development stage, the time for the fluid in the container to be fully cooled down, and the average fluid temperature over the whole volume of the container.

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“…In the past decades, extensive experimental, numerical, and analytical studies have been conducted on this issue, although mainly on the more specific case of a rectangular cavity with differentially heated sidewalls, such as those well documented in [1][2][3][4] and in the annual literature reviews on heat transfer (see, e.g., [5]). …”

Section: Introductionmentioning

confidence: 99%