Heat transfer in the thermal entry length with laminar flow in an annulus

Hatton, A.P.; Quarmby, Alan

doi:10.1016/0017-9310(62)90077-7

Cited by 57 publications

(20 citation statements)

References 4 publications

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“…1 presents a typical example of eigenvalues and the corresponding eigenfunctions for the laminar forced convection in the singlelayer annulus with R 1 = 1. It is recognized that the first ten eigenvalues and eigenfunctions agree well with the previous solution with the inside wall at uniform temperature and insulated outside wall [7].…”

Section: Solution With Inner Wall At Uniform Temperature and Insulatesupporting

confidence: 51%

“…Hatton and Quarmby [7] applied the separation of variables method to solve the heat transfer problem with a hydrodynamically developed laminar flow in a concentric annulus and presented the solution for different radius ratios and boundary conditions. Mitrovic and Maletic [8] investigated numerically the effect of thermal asymmetry on a laminar forced convection in a single-layer annulus subjected to asymmetric temperature conditions at the surfaces.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Analysis of Thermal Development of Laminar Flow in a Concentric Multilayer Annulus

et al. 2013

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The thermal behavior of laminar flow in a concentric multilayer annulus is investigated numerically for varying dimensionless inner radii and a defined number of fluid layers. Under a hydrodynamically developed flow assumption within the fluid layers, the development of temperature profiles and heat transfer along the annulus are analyzed for two different boundary conditions. The mean temperature distribution, local Nusselt number, and mean Nusselt number are discussed in detail with an emphasis on the effects of the inner radius and number of fluid layers. The obtained results indicate that the change in heat transfer coefficient in a layered annulus is more pronounced at a small inner radius or larger radius ratio. A further insertion of more than ten layers has insignificant influence on the convective heat transfer in a layered annulus.

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Section: Solution With Inner Wall At Uniform Temperature and Insulatesupporting

confidence: 51%

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Thermal Development of Laminar Flow in a Concentric Multilayer Annulus

et al. 2013

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“…Reference can be made to the work of [Siegel et al, 1958] for heat transfer in circular duct with uniform heat flux, [Hatton & Quarmby, 1962] for annular ducts and [Nunge and Gill, 1966] for a tube in tube heat exchanger. Various papers deal with haemodialysis in hollow fibre, for example [Davis & Parkinson, 1970;Gostoli & Gatta, 1980;Ding 2004].…”

Section: Mass Transfer In Hollow Fibre Contactorsmentioning

confidence: 99%

Recovery of Biosynthetic Products Using Membrane Contactors

Gostoli¹

2011

Mass Transfer - Advanced Aspects

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“…The contributions of dissipation and compression work to the heat flux distribution can be derived from Equation (10). Thus one has 1.…”

Section: The Conductivity Distrlbutionmentioning

confidence: 99%

Effect of dissipation and compression work on the eddy conductivity calculated from experimental temperature data for gases

Blanco

Gill

1971

AIChE Journal

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T h e effect of dissipation and compression work on the eddy conductivity calculated from experimental temperature distribution data for gases is examined i n detail, and it is shown that these effects are significant even i n relatively low Reynolds number flows, say greater than 30,000. The inclusion of dissipation and compression work i n the energy equation for gaseous flows is shown to lead to the determination of symmetrical eddy diffusivities from experimental data.The temperature distribution in the fully developed thermal region for a fluid flowing turbulently between two walls maintained at uniform but different temperatures i s a function of the transverse coordinate only, and therefore both the wall temperature and heat flux are independent of the axial coordinate. The heat entering at one wall is effectively "conducted" away by the fluid and then lost to the other wall; the fluid i s heated by contact with one wall and cooled by contact with the other, This mode of convective heat transfer i s particularly favorable for determining the behavior of the eddy conductivity at the center of the channel, a s was recognized by Harrison and Menke ( 9 ) and Corcoran, Sage, and co-workers ( 3 to 6, 12,13,14, 16).of the fluid and consequently alters the temperature gradient distribution for heating and cooling in opposite directions. A parallel argument holds for the effects of corn pression work, which behaves as an energy sink. An asymmetrical arrangement is thus particularly interesting because the fluid is simultaneously heated at one wall and cooled at the other, and therefore dissipation and compression work may introduce asymmetries in the temperature gradient distribution even if the fluid properties are assumed independent of temperature. For these reasons, the asymmetrical arrangement discussed above, which was studied experimentally by Corcoran, Sage, and co-workers ( 3 to 6,11,13,14, 16) with the objective of determining the eddy diffusivity distribution, i s also particularly interesting from the point of view of investigating the presence of dissipation and compression work and the extent to which these effects may intervene in the heat transfer process .Previous theoretical developments (22, 27, 28) indicate that for gaseous flows, dissipation and compression work may affect measured temperature profiles. The effects of compression work on the temperature distribution are important for compressible flows whenever the dissipative effects cannot be neglected; the latter are of the same order of magnitude as the other terms in the equation of energy when the Eckert number is on the order of unity. Dissipation in turbulent gaseous flows was introduced by Venezian Dissipation, an energy source, increases the temperature Jose A. Blanco is with the International Nickel

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Heat transfer in the thermal entry length with laminar flow in an annulus

Cited by 57 publications

References 4 publications

Numerical Analysis of Thermal Development of Laminar Flow in a Concentric Multilayer Annulus

Numerical Analysis of Thermal Development of Laminar Flow in a Concentric Multilayer Annulus

Recovery of Biosynthetic Products Using Membrane Contactors

Effect of dissipation and compression work on the eddy conductivity calculated from experimental temperature data for gases

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