On conjugated problems of heat transfer

Perel'man, T. L.

doi:10.1016/0017-9310(61)90044-8

Cited by 210 publications

(79 citation statements)

References 3 publications

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“…In particular, the analysis of the steady-state laminar heat-transfer between different streams coupled through compatibility conditions at the boundaries constitutes the so-called conjugated Graetz problem [9][10][11]. Under certain simplifying assumptions -constant property fluids and fully developed laminar flow -the problem becomes linear and is amenable to an elegant solution based on eigenfunction expansions, which in counterflow systems involves sets of positive and negative eigenfunctions associated with sets of positive and negative eigenvalues [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions

Vera

Liñán

2010

International Journal of Heat and Mass Transfer

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Multilayered, counterflow, parallel-plate heat exchangers are analyzed numerically and theoretically. The analysis, carried out for constant property fluids, considers a hydrodynamically developed laminar flow and neglects longitudinal conduction both in the fluid and in the plates. The solution for the temperature field involves eigenfunction expansions that can be solved in terms of Whittaker functions using standard symbolic algebra packages, leading to analytical expressions that provide the eigenvalues numerically. It is seen that the approximate solution obtained by retaining the first two modes in the eigenfunction expansion provides an accurate representation for the temperature away from the entrance regions, specially for long heat exchangers, thereby enabling simplified expressions for the wall and bulk temperatures, local heat-transfer rate, overall heat-transfer coefficient, and outlet bulk temperatures. The agreement between the numerical and theoretical results suggests the possibility of using the analytical solutions presented herein as benchmark problems for computational heat-transfer codes.

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Section: Introductionmentioning

confidence: 99%

Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions

Vera

Liñán

2010

International Journal of Heat and Mass Transfer

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“…The system of quasi-static differential equations that describes the conjugate heat transfer problem consists of the following equations [15][16][17]: -Continuity equation:…”

Section: Methodsmentioning

confidence: 99%

Simulation of thermal state of containers with spent nuclear fuel: multistage approach

Alyokhina

Goloshchapov

Kostikov

et al. 2015

Int. J. Energy Res.

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SUMMARYThe safe thermal conditions of spent nuclear fuel storage are the important component of complex safety of the dry spent nuclear fuel storage facility. The multistage approach for numerical definition of thermal fields in storage containers with spent fuel assemblies is proposed. The approach is based on solving of the series of the conjugate heat transfer problems with different geometrical detailing. The developed approach is used for estimation of thermal state of ventilated containers with spent nuclear fuel of WWER-1000 reactors of Zaporizhska nuclear power plant. The results of the thermal calculations for single-placed container on open-site storage platform were presented. The safety of containers usage in normal and extreme ambient temperatures was proven.

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“…When Perelman [1] investigated the forced convective heat transfer in a boundary-layer flow over an internally heated semiinfinite flat plate with two-dimensional thermal conduction and interface temperature unknown, he used for the first time the words conjugate heat transfer. For bodies with spherical symmetry, the first conjugate heat/mass transfer studies are [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Unsteady conjugate forced convection heat/mass transfer in ensembles of spherical particles with cell models

Juncu

2009

International Journal of Heat and Mass Transfer

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On conjugated problems of heat transfer

Cited by 210 publications

References 3 publications

Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions

Laminar counterflow parallel-plate heat exchangers: Exact and approximate solutions

Simulation of thermal state of containers with spent nuclear fuel: multistage approach

Unsteady conjugate forced convection heat/mass transfer in ensembles of spherical particles with cell models

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