On the theory of heat transfer from a wire in an electric field

Kronig, R. de L.; Schwarz, N.

doi:10.1007/bf02120314

Cited by 28 publications

(3 citation statements)

References 4 publications

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“…Similarly, if the convection velocity is a constant, and the medium has a constant dielectric constant and conductivity v = UTx; E = constant; a = constant (8) we find the one dimensional steady state solution (~-= 0) with the boundary condition of a charge source at x = 0 to be…”

Section: Ohmic Conductionmentioning

confidence: 88%

Space-Charge Dynamics of Liquids

Zahn

Melcher

1972

The Physics of Fluids

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The propagation and instability characteristics of small-signal electro-fluid-mechanical space charge and polarization waves in nonhomogeneous fluids is developed. Stratified equilibrium configurations with fluid properties and space charge density constant within planar, cylindrical, and spherical surfaces, are emphasized. Equilibrium electric fields due both to charges in the fluid and to externally imposed potentials are normal to these surfaces. The liquid is modeled as incompressible, inviscid, and perfectly insulating, with domains of sufficiently high frequency or growth rate to validate the last assumption defined in terms of electrical conductivity or mobility.Two types of stratification for the mass density, dielectric constant, and space charge density are distinguished and related: discrete layers and continuous distributions. A general set of relations for perturbation field and flow variables on the perturbed surfaces of fluid layers having constant properties and snace charge are derived in each of the configurations. Detailed description of wave dispersion and instability for interactions in the following situations exemplifies how these relations are used in representing a broad class of discretely stratified equilibria: a) Perfectly-conducting interface stressed by normal field and bounded from above by fluid supporting uniform space charge; b) Two planar layers of differing properties and space charge; c) Uniformly charged liquid jet; d) Uniformly charged liquid drop. It is shown that the general relations can be used to represent systems of coupled layers which approximate continuous distribution by a series of step functions. Specific examples of weak-gradient and exponential distributions are presented showing that the solution found directly from the distributed theory is approached by the system of coupled layers, if the limit is taken in which the number of layers becomes large while the layer thickness approaches zero. Experiments are described which attempt to delineate the coupling of space charge to electrohydrodynamic surface waves on a perfectly-conducting interface in the configuration of (a), above.

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Section: Ohmic Conductionmentioning

confidence: 88%

Space-Charge Dynamics of Liquids

Zahn

Melcher

1972

The Physics of Fluids

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“…They discovered that when an electric field is applied radically between a heated wire and a cylinder, the rate of heat transfer increases by up to 50%. In the early 1950s, Ahmann and Kronig [5] extended the work of Kronig and Schwartz [6] by performing experiments on dielectric liquids and estimated increases in the amounts of heat exchanged. In 2004, Yan et al [7] performed numerical and mathematical modelling of EHD intensification of free convection in an enclosure, but the problem was partially addressed because the influence of the electrical parameters (electrical force, nature of the fluid, etc.)…”

Section: Introductionmentioning

confidence: 99%

Heat transfer by oil natural convection in an annular space under combined effects of carbon nanotubes and electric field

Rejeb

Hassen

Kolsi

et al. 2022

International Communications in Heat and Mass Transfer

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“…I n a later paper Kronig & Schwarz (1949) analysed the measurements of the above experiment and demonstrated how the results for different gases could be correlated on the introduction of a new dimensionless group, which plays a similar role in the effect of the electric forces as the Grashof number in the effect of the gravitational buoyancy force. The effect of an electric field on heat transfer has been used in practice for the continuous analysis of gas mixtures containing a paraelectric component (see Kronig 1942 and.…”

Section: Introductionmentioning

confidence: 99%

Effect of an electric field on heat transfer in a paraelectric gas

Poots

1963

J. Fluid Mech.

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This paper deals theoretically with some aspects of the influence of a non-homogeneous electric field on the laminar convective motion and heat transfer in paraelectric gas. i.e. a gas consisting of molecules having a permanent electric dipole moment. It is found that, due to the variation of the dielectric susceptibility with temperature, the electric field produces an electrical buoyancy force. Convective velocities and heat transfer in the gas near a heated surface are found to be increased or decreased according as the electrical buoyancy force acts with or in opposition to the net force of the existing pressure gradient and gravitational buoyancy force.The equations of motion for a paraelectric gas in the presence of an electric field are derived in a simplified form by the use of approximations similar to those of Boussinesq (1903). An exact solution of these equations is presented for the problem of laminar convection flow, under a pressure gradient, between vertical concentric cylinders which are maintained at different electrostatic potentials and whose wall temperatures decrease uniformly with increasing height. Here the electric field induces a heated down-flow to be superimposed on the existing cooled up-flow (or heated down-flow).Boundary-layer equations are also derived for the laminar convective motion due to a heated charged sphere. These equations are solved by an approximate method due to Squire (1938).

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On the theory of heat transfer from a wire in an electric field

Cited by 28 publications

References 4 publications

Space-Charge Dynamics of Liquids

Space-Charge Dynamics of Liquids

Heat transfer by oil natural convection in an annular space under combined effects of carbon nanotubes and electric field

Effect of an electric field on heat transfer in a paraelectric gas

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