Vector lines and potentials for computational heat transfer visualisation

Mallinson, Gordon D.

doi:10.1016/j.ijheatmasstransfer.2009.03.023

Cited by 6 publications

(3 citation statements)

References 23 publications

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“…[4][5][6]) and therefore also adopted here. However, a recent study contends this definition, albeit without solid physical justification, and proposes the mean temperature as alternative, which significantly alters the thermal trajectories [10]. The present study nonetheless adheres to the minimum temperature yet with the annotation that a general consensus on the reference state remains outstanding.…”

Section: Lagrangian Transport Analysismentioning

confidence: 59%

Heat and Mass Transfer Made Visible

Speetjens

Steenhoven

2011

DDF

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Heat and mass transfer in fluid flows traditionally is examined in terms of temperature and concentration fields and heat/mass-transfer coefficients at fluid-solid interfaces. However, heat/mass transfer may alternatively be considered as the transport of a passive scalar by the total advective-diffusive flux in a way analogous to the transport of fluid by the flow field. This Lagrangian approach facilitates heat/mass-transfer visualisation in a similar manner as flow visualisation and has great potential for transport problems in which insight into (interaction between) the scalar fluxes throughout the entire configuration is essential. This ansatz furthermore admits investigation of heat and mass transfer by well-established geometrical methods from laminar-mixing studies, which offers promising new research capabilities. The Lagrangian approach is introduced and demonstrated by way of representative examples.

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Section: Lagrangian Transport Analysismentioning

confidence: 59%

Heat and Mass Transfer Made Visible

Speetjens

Steenhoven

2011

DDF

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“…Thus a Lagrangian description of heat transfer can be formulated analogous to that of fluid motion [7,8,9]. To date such representations describe thermal fluxes and paths relative to a -in principle arbitrary -uniform reference temperature [9,10]. However, in the present context, the conductive state for stagnant fluid -expanding on the concept of Nusselt relations -is the more natural reference.…”

Section: Introductionmentioning

confidence: 99%

“…Such analyses hitherto identified this flux with the enthalpy flux: q c = uT [7,8,9]. However, the enthalpy flux depends on a -in principle arbitrary -global reference temperature T R , which, though conceptually entirely correct, hampers physical interpretation of the associated thermal transport routes [9,10]. The current representation of q c , on the other hand, adopts the conductive state T as reference for the convective flux, which is intuitively more accessible in that, first, non-zero q c occurs only for non-zero convective departures T ′ from T and, second, q c is independent of the reference T R for T .…”

Section: Introductionmentioning

confidence: 99%

A Lagrangian formalism for thermal analysis of laminar convective heat transfer

Speetjens

2012

J. Phys.: Conf. Ser.

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Heat transfer in essence is the transport of thermal energy along certain paths in a similar way as fluid motion is the transport of fluid parcels along fluid paths. This similarity admits Lagrangian heat-transfer analyses by the geometry of such "thermal paths" analogous to well-known Lagrangian mixing analyses. Essential to Lagrangian heat-transfer formalisms is the reference state for the convective flux. Existing approaches admit only uniform references. However, for convective heat transfer, a case of great practical relevance, the conductive state that sets in for vanishing fluid motion is the more natural reference. This typically is an inhomogeneous state and thus beyond the existing formalism. The present study closes this gap by its generalisation to non-uniform references and thus substantially strengthens Lagrangian methods for thermal analyses. This ansatz is demonstrated by way of a 2D case study and offers new fundamental insight into thermal transport that is complementary to the Eulerian picture based on temperature and heat-transfer coefficients.

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