Literature Survey of Numerical Heat Transfer (2000–2009): Part II

Shih, Tien-Mo; Arie, Martinus; Ko, Derrick I.

doi:10.1080/10407782.2011.636720

Cited by 15 publications

(3 citation statements)

References 3,222 publications

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“…In order to introduce them into the equations, dimensionless variables are introduced to the calculation: Identically defined dimensionless variables are often used for analytical solution of the temperature field in a couple problems in technical literature [5,6]. The solution of such problems can be found for instance in [1][2][3], which also allow for the determination of the stress field of the solid phase [4]. The introduction of dimensionless variables also makes it easier to generalize the experimental results of heat transfer measurements [7].…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

Thermal Field of a Solid Particle for Bi > 0 and Fluid Medium of a Countercurrent Heat Exchanger

Élesztős

Écsi

Jančo

et al. 2019

Period. Polytech. Mech. Eng.

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This article is devoted to the solution of the thermal field of a particle for Bi > 0 with an ideal spherical shape and the behavior of the temperature in the fluid phase with countercurrent contact.After establishing the underlying simplified assumptions and defining the initial and boundary conditions in the form of dimensionless criteria, a mathematical formulation of the problem is transformed into a suitable and solvable form. The formulation is then used in the analysis.

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Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

Thermal Field of a Solid Particle for Bi > 0 and Fluid Medium of a Countercurrent Heat Exchanger

Élesztős

Écsi

Jančo

et al. 2019

Period. Polytech. Mech. Eng.

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“…A recent literature survey of numerical heat transfer was conducted by Shih et al [30]. Sivasankaran and Bhuvaneswar [31] observed that heat transfer is enhanced if the heating location is either at the middle or bottom of the hot wall, while the cooling location is either at the top or middle of the cold wall.…”

Section: Introductionmentioning

confidence: 98%

Characteristics of Natural Convection Heat Transfer in an Array of Discrete Heat Sources

Habib

Said

Ayinde

2013

Experimental Heat Transfer

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This study aims to investigate experimentally the natural convection flow over an array of discrete surfaces mounted on a flat vertical substrate. The investigation covers the case where the discrete surfaces/substrate unit forms a wall of a closed cavity. Experimental measurements of the flow and thermal fields were conducted. The experimental study is aimed at investigating the influence of the Rayleigh number on the velocity and thermal fields inside the cavity. Two cases of heat source distribution were considered: uniform heat source distribution and non-uniform heat source distribution. Measurements of vertical and horizontal velocity components were obtained for three heating values: 10, 15, and 20 W corresponding to Rayleigh number values of Ra = 9.06 × 10 9 , Ra = 1.19 × 10 10 , and Ra = 1.41 × 10 10 . For each case, the velocity measurements were conducted at three different vertical locations, located at the middle of each of the three heaters. Velocity measurements were also obtained for non-uniform heater distribution at Ra = 9.53 × 10 9 . The energy loss was found to be about 10% of the power input in each case. Empirical correlations were obtained for the data for uniformly distributed heaters.

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“…Other relevant references in the field are the three review articles by Shih et al (2010, 2011, 2013). Their generic topic is numerical heat transfer, but they contain a total number of 282 references on the issue of unsteadiness applied to heat transfer enhancement.…”

Section: Introductionmentioning

confidence: 99%

Comparison of three-dimensional flow mixing via pulsation and dynamical stirring: application to the mixing of parallel streams at different temperatures

Sastre

Martín

Velázquez

et al. 2021

HFF

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Purpose This paper aims to compare the performance of flow pulsation versus flow stirring in the context of mixing of a passive scalar at moderate Reynolds numbers in confined flows. This comparison has been undertaken in two limits: diffusion can be neglected as compared to convection (very large Peclet) and diffusion and convection effects are comparable. The comparison was performed both in terms of global parameters: pumping power and mixing efficiency and local flow topology. Design/methodology/approach The study has been addressed by setting up a common conceptual three-dimensional problem that consisted of the mixing of two parallel streams in a square section channel past a square section prism. Stirring and pulsation frequencies and amplitudes were changed and combined at an inlet Reynolds number of 200. The numerical model was solved using a finite volume formulation by adapting a series of open-source OpenFOAM computational fluid dynamic (CFD) libraries. For cases with flow pulsation, the icoFoam solver for laminar incompressible transient flows was used. For cases with stirring, the icoDyMFoam solver, which uses the arbitrary Lagrangian–Eulerian method for the description of the moving dynamical mesh, was used to model the prism motion. At the local flow topology level, a new method was proposed to analyze mixing. Time evolution of folding and wrinkling of sheets made up of virtual particles that travel along streak lines was quantified by generating lower rank projections of the sheets onto the spaces spanned by the main eigenvectors of an appropriate space-temporal data decomposition. Findings In the limit when convection is dominant, the results showed the superior performance of stirring versus flow pulsation both in terms of mixing and required pumping power. In the cases with finite Peclet, the mixing parameters by stirring and flow pulsation were comparable, but pulsation required larger pumping power than stirring. For some precise synchronization of stirring and pulsation, the mixing parameter reached its maximum, although at the expense of higher pumping power. At the local flow topology level, the new method proposed to quantify mixing has been found to correlate well with the global mixing parameter. Originality/value A new systematic comparative study of two methods, stirring and pulsation, to achieve mixing of passive scalars in the mini scale for confined flows has been presented. The main value, apart from the conclusions, is that both methods have been tested against the same flow configuration, which allows for a self-consistent comparison. Of particular interest is the fact that it has been found that accurate synchronization of both methods yields mixing parameters higher than those associated to both methods taken separately. This suggests that it is possible to synchronize mixing methods of a different nature to achieve optimum designs. The new theoretical method that has been proposed to understand the mixing performance at the local level has shown promising results, and it is the intention of the authors to test its validity in a broader range of flow parameters. All these findings could be taken as potential guidelines for the design of mixing processes in the mini scale in the process industry.

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Literature Survey of Numerical Heat Transfer (2000–2009): Part II

Cited by 15 publications

References 3,222 publications

Thermal Field of a Solid Particle for Bi > 0 and Fluid Medium of a Countercurrent Heat Exchanger

Thermal Field of a Solid Particle for Bi > 0 and Fluid Medium of a Countercurrent Heat Exchanger

Characteristics of Natural Convection Heat Transfer in an Array of Discrete Heat Sources

Comparison of three-dimensional flow mixing via pulsation and dynamical stirring: application to the mixing of parallel streams at different temperatures

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