Nusselt number correlations for heat transfer to small spheres in thermal plasma flows

Young, Robert M.; Pfender, E.

doi:10.1007/bf01019179

Cited by 39 publications

(15 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, if (15) is directly applied to the present experimental condition, the resultant Nusselt number is found to become too large, Nu 16-23, to explain the present results, as this correlation is based on an oversimplified model for the treatment of the mass density, viscosity and heat capacity. Consequently, improved correlations have been proposed by several research groups, such as Fiszdon [55] and Lee-Pfender [56]. They are given as follows, Fiszdon :…”

Section: The Péclet Number and Its Relationship With The Nusselt Numbermentioning

confidence: 99%

Heat Transfer and Thermohydraulic Characteristics of Arc‐Discharge Argon Plasma Plume Injected into Water

Kawamura

Hirotani

Matsuoka

et al. 2022

IEEJ Transactions Elec Engng

View full text Add to dashboard Cite

The flow and thermohydraulic characteristics of an atmospheric‐pressure argon arc jet plume injected into water were investigated. The temperature of the underwater plasma plume was measured using optical emission spectroscopy, and the water with a thermocouple. The velocity field of the water induced by the arc‐jet injection was observed using the particle image velocimetry method, which demonstrated that as the discharge current increased, the water flow velocity also increased. The diameter of the plasma plume was observed to be approximately the same as that of the anode nozzle, 6.7 mm. The heat transfer characteristics of the injected arc jet plume to the surrounding water were also investigated. The average velocity of the arc jet plume in the water was estimated based on mass balance to be in the range of 280–2500 m/s as a monotonically decreasing function of the flow distance. The velocity of the underwater arc is found to be subsonic over the entire volume of the plasma plume, however, it is larger than the sound velocity of the water up to 10 mm downward from the plasma nozzle. The resultant Reynolds number of the plasma flow was found to be between 1000 and 2800, indicating the flow was turbulent only at the most upstream region up to 3 mm downward from the nozzle, while it was almost laminar over the whole observed area of the underwater arc plasma plume. The heat transfer characteristics were discussed in terms of the dimensionless numbers. The Nusselt number ranges from approximately ∼3.8 to ∼6.5, which is a reasonable value. Although the existing theories of correlation heat transfer cannot fully explain the relationship between these dimensionless numbers, the correlation proposed by Fiszdon and the one by Lee–Pfender can qualitatively explain the observed results for the upstream region, which include the effects of the variation in the mass density, the viscosity, and the specific heat for a constant pressure of the argon arc plasma. © 2022 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

show abstract

Section: The Péclet Number and Its Relationship With The Nusselt Numbermentioning

confidence: 99%

Heat Transfer and Thermohydraulic Characteristics of Arc‐Discharge Argon Plasma Plume Injected into Water

Kawamura

Hirotani

Matsuoka

et al. 2022

IEEJ Transactions Elec Engng

View full text Add to dashboard Cite

show abstract

“…It takes into account the internal heat conduction and the phase changes in a particle. Chen and Parker [6] have studied heat transfer characteristics in the case of the water droplets and particles of alumina, graphite and tungsten injected into argon, nitrogen or argon-hydrogen plasma jets. The model takes into account the internal particle heat conduction and convective effects to their surfaces.…”

Section: Introductionmentioning

confidence: 99%

“…The model takes into account the internal particle heat conduction and convective effects to their surfaces. Varacalle et al modelled [6] the treatment particles of nickel, aluminum and chrome oxide in argon-helium plasma jet under open-air conditions. The model considers the gas plasma as single-zone k-ε turbulence.…”

Section: Introductionmentioning

confidence: 99%

“…The drag coefficient is not corrected. Only the Nusselt number is corrected according to Lewis and Gauvin [6]. The author compared the results of Lagrangian and Eulerian approaches and found that they give a close temperatures and speeds.…”

Section: Introductionmentioning

confidence: 99%

“…It is difficult to describe the behavior during the impact on the substrate which is directly related to the thermal and dynamic particle histories in the flame. This dynamic and thermal behavior is described by numerical simulations to independently evaluate the axisymmetric jet flow and the particle behavior injected into it [6][7][8][9][10][11][12]. This study is conducted to demonstrate the effects of various pertinent parameters on the fluid flow and heat transfer characteristics.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermal behavior of ceramic particles in a gaseous medium at high temperature

et al. 2020

View full text Add to dashboard Cite

Numerical simulation of the interaction between the spherical particle and plasma gas is carried out. The aim of this study is to investigatethermal transfer between the plasma gas and solid particle during the plasma spray process and to validate the well-known empirical correlation of the Ranz and Marshall. In the conditions of molten or semi-molten states of prepared substrate, the medium (plasma jet) can affect the high velocities of particles. On the basis of direct numerical simulation, the computational analysis has been carried out by using computational fluid dynamics (CFD) of heat transfer in atmospheric pressure and mid-temperature range (3000k–12000k) of a plasma flow over a spherical particle. Our proposed model improves correlation with experiments compared to the existing approaches in the literature.

show abstract

Plasma-Particle Heat Transfer

Proulx¹

2018

Handbook of Thermal Science and Engineering

View full text Add to dashboard Cite

Nusselt number correlations for heat transfer to small spheres in thermal plasma flows

Cited by 39 publications

References 20 publications

Heat Transfer and Thermohydraulic Characteristics of Arc‐Discharge Argon Plasma Plume Injected into Water

Heat Transfer and Thermohydraulic Characteristics of Arc‐Discharge Argon Plasma Plume Injected into Water

Thermal behavior of ceramic particles in a gaseous medium at high temperature

Plasma-Particle Heat Transfer

Contact Info

Product

Resources

About