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Heekoo Moon - One of the best experts on this subject based on the ideXlab platform.
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crossflows from jet array impingement cooling hole spacing target Plate Distance reynolds number effects
International Journal of Thermal Sciences, 2015Co-Authors: Phillip M. Ligrani, Heekoo MoonAbstract:Abstract Data which illustrate the combined and separate effects of hole array spacing, jet-to-target Plate Distance, and Reynolds number on cross-flows , and the resulting heat transfer, for an impingement jet array are presented. The array of impinging jets are directed to one flat surface of a channel which is bounded on three sides. Considered are Reynolds numbers ranging from 8000 to 50,000, jet-to-target Plate Distances of 1.5 D , 3.0 D , 5.0 D , and 8.0 D , and steamwise and spanwise hole spacing of 5 D , 8 D , and 12 D , where D is the impingement hole diameter. In general, the cumulative accumulations of cross-flows, from sequential rows of jets, reduce the effectiveness of each individual jet (especially for jets at larger streamwise locations). In other situations, the impingement cross-flow results in locally augmented Nusselt numbers. Such variations most often occur at larger downstream locations, as jet interactions are more vigorous, and local magnitudes of mixing and turbulent transport are augmented. This occurs in channels at lower Reynolds numbers, where impingement jets are confined by smaller hole spacing, and smaller jet-to-target Plate Distance. The overall result is complex dependence of local, line-averaged, and spatially-averaged Nusselt numbers on hole array spacing, jet-to-target Plate Distance, and impingement jet Reynolds number.
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cross flow effects on impingement array heat transfer with varying jet to target Plate Distance and hole spacing
International Journal of Heat and Mass Transfer, 2014Co-Authors: Phillip M. Ligrani, Heekoo MoonAbstract:Abstract New impingement heat transfer data are presented for experimental conditions and configurations employed have not been previously examined, which illustrate the effects of impingement cross-flows on local, line-averaged, and spatially-averaged Nusselt numbers, as both jet-to-target Distance and jet hole spacing are altered. Data are given for a constant impingement jet Reynolds number of 8000. In general, the impingement passage cross-flows which accumulate are detrimental to local Nusselt number performance, especially for denser hole arrays with 5 D and 8 D hole spacing, where D is impingement hole diameter. This is illustrated by periodic variations of surface Nusselt numbers, which generally decrease with streamwise development, and by local Nusselt number peak values for hole spacings of 5 D , 8 D , and 12 D which generally become smaller at successive x/D locations for each value of Z/D . Also considered are unique situations where significant accumulation of cross-flow fluid results in an opposite trend, with local Nusselt numbers which increase with streamwise development for dense hole spacing of 5 D , and smaller jet-to-target Plate Distances of 1.5 D and 3.0 D .
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Crossflows From Jet Array Impingement Cooling: Effects of Hole Array Spacing, Jet-to-Target Plate Distance, and Reynolds Number
Volume 5A: Heat Transfer, 2014Co-Authors: Phillip M. Ligrani, Heekoo MoonAbstract:Data which illustrate the combined and separate effects of hole array spacing, jet-to-target Plate Distance, and Reynolds number on cross-flows, and the resulting heat transfer, for an impingement jet array are presented. The array of impinging jets are directed to one flat surface of a channel which is bounded on three sides. Considered are Reynolds numbers ranging from 8,000 to 50,000, jet-to-target Plate Distances of 1.5D, 3.0D, 5.0D, and 8.0D, and steamwise and spanwise hole spacing of 5D, 8D, and 12D, where D is the impingement hole diameter. In general, the cumulative accumulations of cross-flows, from sequential rows of jets, reduce the effectiveness of each individual jet (especially for jets at larger streamwise locations). The result is sequentially decreasing periodic Nusselt number variations with streamwise development, which generally become more significant as the Reynolds number increases, and as hole spacing decreases. In other situations, the impingement cross-flow results in locally augmented Nusselt numbers. Such variations most often occur at larger downstream locations, as jet interactions are more vigorous, and local magnitudes of mixing and turbulent transport are augmented. This occurs in channels at lower Reynolds numbers, where impingement jets are confined by smaller hole spacing, and smaller jet-to-target Plate Distance. The overall result is complex dependence of local, line-averaged, and spatially-averaged Nusselt numbers on hole array spacing, jet-to-target Plate Distance, and impingement jet Reynolds number. Of particular importance are the effects of these parameters on the coherence of the shear layers which form around the impingement jets, as well as on the Kelvin-Helmholtz instability vortices which develop within the shear interface around each impingement jet.Copyright © 2014 by ASME
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Effects of Jet-to-Target Plate Distance and Reynolds Number on Jet Array Impingement Heat Transfer
Journal of Turbomachinery, 2013Co-Authors: Jun-sik Lee, Phillip M. Ligrani, Jacob Haegele, Geoffrey Potts, Zhong Ren, Jae Sik Jin, Michael Fox, Heekoo MoonAbstract:Data which illustrate the effects of jet-to-target Plate Distance and Reynolds number on the heat transfer from an array of jets impinging on a flat Plate are presented. Considered are Reynolds numbers Rej ranging from 8200 to 52,000 with isentropic jet Mach numbers of approximately 0.1 to 0.2. Jet-to-target Plate Distances Z of 1.5D, 3.0D, 5.0D, and 8.0D are employed, where D is the impingement hole diameter. Streamwise and spanwise hole spacings are 8D. Local and spatially-averaged Nusselt numbers show strong dependence on the impingement jet Reynolds number for all situations examined. Experimental results also illustrate the dependence of local Nusselt numbers on normalized jet-to-target Plate Distance, especially for smaller values of this quantity. The observed variations are partially due to accumulating cross-flows produced as the jets advect downstream, as well as the interactions of the vortex structures, which initially form around the jets and then impact and interact as they advect away from stagnation points along the impingement target surface. The highest spatially-averaged Nusselt numbers are present for Z/D = 3.0 for Rej of 8200, 20,900, and 30,000. When Rej = 52,000, spatially-averaged Nusselt numbers increase as Z/D decreases, with the highest value present at Z/D = 1.5.
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effects of jet to target Plate Distance and reynolds number on jet array impingement heat transfer
ASME Turbo Expo 2013: Turbine Technical Conference and Exposition, 2013Co-Authors: Jacob Haegele, Phillip M. Ligrani, Geoffrey Potts, Heekoo MoonAbstract:Data which illustrate the effects of jet-to-target Plate Distance and Reynolds number on the heat transfer from an array of jets impinging on a flat Plate are presented. Considered are Reynolds numbers Rej ranging from 8,200, to 52,000, with isentropic jet Mach numbers of approximately 0.1 to 0.2. Jet-to-target Plate Distances Z of 1.5D, 3.0D, 5.0D, and 8.0D are employed, where D is the impingement hole diameter. Steamwise and spanwise hole spacings are 8D. Local and spatially-averaged Nusselt numbers show strong dependence on the impingement jet Reynolds number for all situations examined. Experimental results also illustrate the dependence of local Nusselt numbers on normalized jet-to-target Plate Distance, especially for smaller values of this quantity. The observed variations are partially due to accumulating cross-flows produced as the jets advect downstream, as well as the interactions of the vortex structures which initially form around the jets, and then impact and interact as they advect away from stagnation points along the impingement target surface. The highest spatially-averaged Nusselt numbers are present for Z/D = 3.0 for Rej of 8,200, 20,900, and 30,000. When Rej = 52,000, spatially-averaged Nusselt numbers increase as Z/D decreases, with the highest value present at Z/D = 1.5.Copyright © 2013 by ASME
Phillip M. Ligrani - One of the best experts on this subject based on the ideXlab platform.
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crossflows from jet array impingement cooling hole spacing target Plate Distance reynolds number effects
International Journal of Thermal Sciences, 2015Co-Authors: Phillip M. Ligrani, Heekoo MoonAbstract:Abstract Data which illustrate the combined and separate effects of hole array spacing, jet-to-target Plate Distance, and Reynolds number on cross-flows , and the resulting heat transfer, for an impingement jet array are presented. The array of impinging jets are directed to one flat surface of a channel which is bounded on three sides. Considered are Reynolds numbers ranging from 8000 to 50,000, jet-to-target Plate Distances of 1.5 D , 3.0 D , 5.0 D , and 8.0 D , and steamwise and spanwise hole spacing of 5 D , 8 D , and 12 D , where D is the impingement hole diameter. In general, the cumulative accumulations of cross-flows, from sequential rows of jets, reduce the effectiveness of each individual jet (especially for jets at larger streamwise locations). In other situations, the impingement cross-flow results in locally augmented Nusselt numbers. Such variations most often occur at larger downstream locations, as jet interactions are more vigorous, and local magnitudes of mixing and turbulent transport are augmented. This occurs in channels at lower Reynolds numbers, where impingement jets are confined by smaller hole spacing, and smaller jet-to-target Plate Distance. The overall result is complex dependence of local, line-averaged, and spatially-averaged Nusselt numbers on hole array spacing, jet-to-target Plate Distance, and impingement jet Reynolds number.
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cross flow effects on impingement array heat transfer with varying jet to target Plate Distance and hole spacing
International Journal of Heat and Mass Transfer, 2014Co-Authors: Phillip M. Ligrani, Heekoo MoonAbstract:Abstract New impingement heat transfer data are presented for experimental conditions and configurations employed have not been previously examined, which illustrate the effects of impingement cross-flows on local, line-averaged, and spatially-averaged Nusselt numbers, as both jet-to-target Distance and jet hole spacing are altered. Data are given for a constant impingement jet Reynolds number of 8000. In general, the impingement passage cross-flows which accumulate are detrimental to local Nusselt number performance, especially for denser hole arrays with 5 D and 8 D hole spacing, where D is impingement hole diameter. This is illustrated by periodic variations of surface Nusselt numbers, which generally decrease with streamwise development, and by local Nusselt number peak values for hole spacings of 5 D , 8 D , and 12 D which generally become smaller at successive x/D locations for each value of Z/D . Also considered are unique situations where significant accumulation of cross-flow fluid results in an opposite trend, with local Nusselt numbers which increase with streamwise development for dense hole spacing of 5 D , and smaller jet-to-target Plate Distances of 1.5 D and 3.0 D .
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Crossflows From Jet Array Impingement Cooling: Effects of Hole Array Spacing, Jet-to-Target Plate Distance, and Reynolds Number
Volume 5A: Heat Transfer, 2014Co-Authors: Phillip M. Ligrani, Heekoo MoonAbstract:Data which illustrate the combined and separate effects of hole array spacing, jet-to-target Plate Distance, and Reynolds number on cross-flows, and the resulting heat transfer, for an impingement jet array are presented. The array of impinging jets are directed to one flat surface of a channel which is bounded on three sides. Considered are Reynolds numbers ranging from 8,000 to 50,000, jet-to-target Plate Distances of 1.5D, 3.0D, 5.0D, and 8.0D, and steamwise and spanwise hole spacing of 5D, 8D, and 12D, where D is the impingement hole diameter. In general, the cumulative accumulations of cross-flows, from sequential rows of jets, reduce the effectiveness of each individual jet (especially for jets at larger streamwise locations). The result is sequentially decreasing periodic Nusselt number variations with streamwise development, which generally become more significant as the Reynolds number increases, and as hole spacing decreases. In other situations, the impingement cross-flow results in locally augmented Nusselt numbers. Such variations most often occur at larger downstream locations, as jet interactions are more vigorous, and local magnitudes of mixing and turbulent transport are augmented. This occurs in channels at lower Reynolds numbers, where impingement jets are confined by smaller hole spacing, and smaller jet-to-target Plate Distance. The overall result is complex dependence of local, line-averaged, and spatially-averaged Nusselt numbers on hole array spacing, jet-to-target Plate Distance, and impingement jet Reynolds number. Of particular importance are the effects of these parameters on the coherence of the shear layers which form around the impingement jets, as well as on the Kelvin-Helmholtz instability vortices which develop within the shear interface around each impingement jet.Copyright © 2014 by ASME
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Effects of Jet-to-Target Plate Distance and Reynolds Number on Jet Array Impingement Heat Transfer
Journal of Turbomachinery, 2013Co-Authors: Jun-sik Lee, Phillip M. Ligrani, Jacob Haegele, Geoffrey Potts, Zhong Ren, Jae Sik Jin, Michael Fox, Heekoo MoonAbstract:Data which illustrate the effects of jet-to-target Plate Distance and Reynolds number on the heat transfer from an array of jets impinging on a flat Plate are presented. Considered are Reynolds numbers Rej ranging from 8200 to 52,000 with isentropic jet Mach numbers of approximately 0.1 to 0.2. Jet-to-target Plate Distances Z of 1.5D, 3.0D, 5.0D, and 8.0D are employed, where D is the impingement hole diameter. Streamwise and spanwise hole spacings are 8D. Local and spatially-averaged Nusselt numbers show strong dependence on the impingement jet Reynolds number for all situations examined. Experimental results also illustrate the dependence of local Nusselt numbers on normalized jet-to-target Plate Distance, especially for smaller values of this quantity. The observed variations are partially due to accumulating cross-flows produced as the jets advect downstream, as well as the interactions of the vortex structures, which initially form around the jets and then impact and interact as they advect away from stagnation points along the impingement target surface. The highest spatially-averaged Nusselt numbers are present for Z/D = 3.0 for Rej of 8200, 20,900, and 30,000. When Rej = 52,000, spatially-averaged Nusselt numbers increase as Z/D decreases, with the highest value present at Z/D = 1.5.
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effects of jet to target Plate Distance and reynolds number on jet array impingement heat transfer
ASME Turbo Expo 2013: Turbine Technical Conference and Exposition, 2013Co-Authors: Jacob Haegele, Phillip M. Ligrani, Geoffrey Potts, Heekoo MoonAbstract:Data which illustrate the effects of jet-to-target Plate Distance and Reynolds number on the heat transfer from an array of jets impinging on a flat Plate are presented. Considered are Reynolds numbers Rej ranging from 8,200, to 52,000, with isentropic jet Mach numbers of approximately 0.1 to 0.2. Jet-to-target Plate Distances Z of 1.5D, 3.0D, 5.0D, and 8.0D are employed, where D is the impingement hole diameter. Steamwise and spanwise hole spacings are 8D. Local and spatially-averaged Nusselt numbers show strong dependence on the impingement jet Reynolds number for all situations examined. Experimental results also illustrate the dependence of local Nusselt numbers on normalized jet-to-target Plate Distance, especially for smaller values of this quantity. The observed variations are partially due to accumulating cross-flows produced as the jets advect downstream, as well as the interactions of the vortex structures which initially form around the jets, and then impact and interact as they advect away from stagnation points along the impingement target surface. The highest spatially-averaged Nusselt numbers are present for Z/D = 3.0 for Rej of 8,200, 20,900, and 30,000. When Rej = 52,000, spatially-averaged Nusselt numbers increase as Z/D decreases, with the highest value present at Z/D = 1.5.Copyright © 2013 by ASME
Sandesh S. Chougule - One of the best experts on this subject based on the ideXlab platform.
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Heat transfer characteristics of free nanofluid impinging jet on flat surface with different jet to Plate Distance: An experimental investigation
Chemical Engineering and Processing - Process Intensification, 2019Co-Authors: Surendra D. Barewar, Shravan Tawri, Sandesh S. ChouguleAbstract:Abstract In the present study, the heat transfer characteristics of the impinging jet on the heated copper Plate surface was investigated experimentally. Two different working coolants namely, DI water and aqueous Zinc oxide (ZnO) nanofluids with varying nanoparticle concentration (ϕ = 0.02%, 0.04%, 0.06%, and 0.1%) were used during the experiment. The ZnO nanofluids were synthesized by two-step methods. The experiments were conducted by impinging free circular jet fluids (water and ZnO nanofluids) on a 90 mm diameter and 3 mm thick heated copper Plate. The jet parameters viz. nozzle to Plate Distance (2–7.5), the flow rate of fluids and nanoparticle concentrations were varied during experiments. This analysis reveals that there is a significant enhancement in heat transfer coefficient (HTC) for ZnO nanofluids coolant when compared with water coolant. During experiments, Reynolds number was varied in the range from 2192 to 9241. A theoretical correlation was developed after analyzing experimental data. The experimental results were found to be in good agreement with results obtained from theoretical correlation.
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Experimental investigation of heat transfer characteristics of the hot surface using Al2O3-water nanofluids
Chemical Engineering and Processing: Process Intensification, 2015Co-Authors: Mayank Modak, Sandesh S. Chougule, Srikaanth Srinivasan, Krati Garg, Manish K. Agarwal, Santosh K. SahuAbstract:Abstract An experimental investigation has been carried out to analyze the heat transfer characteristics of a hot vertical stainless steel foil by circular impinging jets of pure water and Al2O3–water nanofluids. The local heat transfer characteristics are estimated from the thermal images obtained from infrared thermal imaging camera (A655sc, FLIR System). Tests are performed for different Reynolds number (Re = 5000–12000), nanofluids concentration (Φ = 0.15%, 0.6%) and for a different nozzle to Plate Distance (l/d = 6, 12). The results indicated that the heat transfer characteristics of Al2O3–water nanofluids were better compared with water. Based on the investigation a correlation among various parameter, namely, Nusselt number (Nu), Prandtl number (Pr), nozzle to Plate Distance (l/d), Reynolds number (Re) and particle volume fraction (Φ) is presented.
C.w. Leung - One of the best experts on this subject based on the ideXlab platform.
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Thermal performance of a premixed impinging circular flame jet array with induced-swirl
Applied Thermal Engineering, 2009Co-Authors: Z. Zhao, C.w. Leung, D.w. Yuen, T.t. WongAbstract:Abstract An array of three identical premixed butane–air-fired impinging circular flames with induced-swirl operating at low-pressure and low-Reynolds-number was developed. A swirling motion was imparted successfully to the flame by forcing the butane/air mixture through a specially designed burner assembly before ignition. The burner assembly consisting of a conical base and a nozzle tube into which a cylindrical bar fabricated with three spiral channels was inserted. Its thermal performance was compared with that of a similar impinging flame jet system without induced-swirl. Effects of varying the Reynolds number and the equivalence ratio of the butane/air mixture and the nozzle-to-Plate Distance on the thermal performance of each of these two impinging flame jet systems were studied. Experiments were conducted with different combinations of Reynolds number, equivalence ratio and nozzle-to-Plate Distance. In the present investigation, the Reynolds number ranged from 500 to 2500, the equivalence ratio ranged from 1.0 to 1.8 and the nozzle-to-Plate Distance ranged from 20 mm to 30 mm. To facilitate comparison, flame shapes of both impinging flame jet systems were also visualized by a high speed digital camera system. The comparison showed that the array of three small-scale, low-pressure and low-Reynolds-number premixed butane–air-fired impinging circular flame jets could enhance its thermal performance, with respect to heat transfer characteristics and blow-out limits, by incorporating an induced-swirl. The performance enhancement increased with increasing Reynolds number or equivalence ratio, but decreased with increasing nozzle-to-Plate Distance.
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Temperature distribution and heat transfer characteristics of an inverse diffusion flame with circumferentially arranged fuel ports
International Journal of Heat and Mass Transfer, 2004Co-Authors: L.k. Sze, C.s. Cheung, C.w. LeungAbstract:Experiments were conducted on IDFs burning butane. The flame holder has a central air jet surrounded by 12 circumferentially arranged fuel jets. The flame consisted of a short entrainment zone and a long mixing and combustion zone with intense combustion. The temperature profiles of the flame showed a cool core at low flame heights, which disappeared at high flame heights. The stagnation point heat flux and radial heat flux distribution of the same flame, upon impinging on a flat Plate, also indicated a cool core at low nozzle-to-Plate Distance but disappeared at high nozzle-to-Plate Distance.
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Heat Transfer Characteristics of a Pair of Impinging Rectangular Flame Jets
Journal of Heat Transfer, 2003Co-Authors: L.l. Dong, C.w. Leung, C.s. CheungAbstract:Experiments were carried out to study the heat transfer characteristics of a pair of premixed, laminar, rectangular, butane/air flame jets impinging vertically upon a water-cooled flat Plate. The effects of jet-to-jet spacing and the nozzle-to-Plate Distance on heat transfer were examined. The Reynolds number of the exit flow was 800. The non-dimensional jet-to-jet spacing ranged from 0.9 to 4.1, while the non-dimensional nozzle-to-Plate Distance varied from I to 6. The between-jet interference decreased with increasing jet-to-jet spacing and nozzle-to-Plate Distance. Both the maximum local and average heat flux occurred at a moderate jet-to-jet spacing of twice effective nozzle diameter, and when the nozzle-to-Plate Distance was equal to the effective diameter of the nozzle. The heat flux decreased faster along the shorter sides of the slot jets than the longer sides.
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Heat transfer of a row of three butane/air flame jets impinging on a flat Plate
International Journal of Heat and Mass Transfer, 2003Co-Authors: L.l. Dong, C.w. Leung, C.s. CheungAbstract:Experiments were performed to investigate the heat transfer characteristics of a row of three premixed, laminar, butane/air flame jets impinging on a water-cooled flat Plate. The between-jet interference was found to reduce the heat transfer rate in the jet-to-jet interacting zone due to the depressed combustion. The interference became stronger when the jet-to-jet spacing and/or the nozzle-to-Plate Distance were/was small. The positive pressure existed in the between-jet interacting zone caused the asymmetric flame and heat transfer distribution of the side jet. The meeting point of the spreading wall jets of the central and the side jets did not occur at the midpoint of the neighboring jets, but at a location shifted slightly outwards. The maximum local heat flux and the maximum area-averaged heat flux occurred at a moderate nozzle-to-Plate Distance of 5d with a moderate jet-to-jet spacing of 5d. The lowest area-averaged heat flux was produced when both the jet-to-jet spacing and the nozzle-to-Plate Distance were small. Comparing with a single jet under the same experimental conditions, the heat transfer rates in both the stagnation point and the maximum heat transfer point were shown to be enhanced in a row of three-jet-impingement system. The present study provided detailed information on the heat transfer characteristics of a row of three in-line impinging flame jets, which had rarely been reported in previous study.
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Combustion optimization of a slot flame jet impingement system
Journal of The Institute of Energy, 2003Co-Authors: L.l. Dong, C.w. Leung, C.s. CheungAbstract:A set of experiments were conducted to determine the characteristics of the combustion species emissions and heat transfer from an premixed slot butane/air Bunsen flame jet impinging on a cold flat Plate. The Reynolds numbers were selected to be 1200 and 1700, which were the representative of the laminar and the transitional flame, respectively. The dimensionless nozzle-to-Plate Distances were 2 and 6, representing small and moderate Distances, respectively. All the tests were carried out under an equivalence ratio of 1. It was found that the enhancement of heat transfer of Reynolds number was significant only in the impingement and the early wall jet regions because combustion occurred solely in this region. Beyond this, no combustion was observed. The flame reaction zone occurred around the stagnation point for the transitional flame under moderate nozzle-to-Plate Distance because of the increased turbulence and the considerable high velocity when the flame impinged on the Plate. A cool central core with low heat fluxes and a great amount of unburnt hydrocarbon and oxygen was found when either the flame became laminar or the nozzle-to-Plate Distance was small. The rectangular nozzle shape determined a nonuniform fuel/air gas flow with more gas exiting along the nozzle width direction than the nozzle length direction. This resulted in stronger combustion and higher heat transfer rates along the nozzle width direction than along the nozzle length direction in the impingement and the early wall jet region. This effect became more pronounced when the nozzle-to-Plate Distance was small. This paper presents the intrinsic relationship between the heat transfer characteristics and the combustion species emissions in detail.
Andrea Erdas - One of the best experts on this subject based on the ideXlab platform.
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Finite temperature Casimir effect for massive scalars in a magnetic field
International Journal of Modern Physics A, 2014Co-Authors: Andrea Erdas, Kevin P. SeltzerAbstract:The finite temperature Casimir effect for a charged, massive scalar field confined between very large, perfectly conducting parallel Plates is studied using the zeta function regularization technique. The scalar field satisfies Dirichlet boundary conditions at the Plates and a magnetic field perpendicular to the Plates is present. Four equivalent expressions for the zeta function are obtained, which are exact to all orders in the magnetic field strength, temperature, scalar field mass and Plate Distance. The zeta function is used to calculate the Helmholtz free energy of the scalar field and the Casimir pressure on the Plates, in the case of high temperature, small Plate Distance, strong magnetic field and large scalar mass. In all cases, simple analytic expressions of the zeta function, free energy and pressure are obtained, which are very accurate and valid for practically all values of temperature, Plate Distance, magnetic field and mass.
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Finite temperature Casimir effect for charged massless scalars in a magnetic field
Physical Review D, 2013Co-Authors: Andrea Erdas, Kevin P. SeltzerAbstract:The zeta function regularization technique is used to study the finite temperature Casimir effect for a charged and massless scalar field confined between parallel Plates and satisfying Dirichlet boundary conditions at the Plates. A magnetic field perpendicular to the Plates is included. Three equivalent expressions for the zeta function are obtained, which are exact to all orders in the magnetic field strength, temperature and Plate Distance. These expressions of the zeta function are used to calculate the Helmholtz free energy of the scalar field and the pressure on the Plates, in the case of high temperature, small Plate Distance and strong magnetic field. In all cases, simple analytic expressions are obtained for the free energy and pressure which are accurate and valid for practically all values of temperature, Plate Distance and magnetic field.
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Finite temperature Casimir effect for massless Majorana fermions in a magnetic field
Physical Review D, 2011Co-Authors: Andrea ErdasAbstract:The zeta function regularization technique is used to study the finite temperature Casimir effect for a massless Majorana fermion field confined between parallel Plates and satisfying bag boundary conditions. A magnetic field perpendicular to the Plates is included. An expression for the zeta function is obtained, which is exact to all orders in the magnetic field strength, temperature and Plate Distance. The zeta function is used to calculate the Helmholtz free energy of the Majorana field and the pressure on the Plates, in the case of weak magnetic field and strong magnetic field. In both cases, simple analytic expressions are obtained for the free energy and pressure which are very accurate and valid for all values of the temperature and Plate Distance.