2015
DOI: 10.1115/1.4029742
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Two-Dimensional Free Convection Heat Transfer Below a Horizontal Hot Isothermal Flat Strip

Abstract: Convection heat transfer below a horizontal, hot, and isothermal strip of infinite length and width of 2L embedded in fluids with different Prandtl number (Pr) and Nusselt number (Nu) is analyzed with the aid of integral method. A new concept is utilized to determine the boundary layer thickness at the strip's edge, which is based on matching the flow rate of the boundary layer below the strip at its edge and the flow rate of the plume, which forms after the heated fluid detaches from the strip's edge. In addi… Show more

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Cited by 6 publications
(4 citation statements)
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“…The ethanol vapor is more dense than the surrounding air and therefore the vapor stays near the substrate and does not form a rising plume. A thermally heated and cooled plate has been studied extensively in the literature. , A similar solution only exists for the case of a heated plate facing upward or a cooled plate facing downward. , Nevertheless, the underlying physical equations facilitate the understanding of the measured partial pressure field. Let us introduce dimensionless parameters for the concentration c , the hydrodynamic pressure ω, the positions x and y , and the respective velocities u and v : x̃ = x / L , ỹ = y / L , ũ = uL / v , ṽ = vL / v , ω̃ = ω L 2 /(ρ ∞ ν 2 ), and c̃ = ( c – c ∞ )/( c S – c ∞ ) .…”
Section: Resultsmentioning
confidence: 99%
“…The ethanol vapor is more dense than the surrounding air and therefore the vapor stays near the substrate and does not form a rising plume. A thermally heated and cooled plate has been studied extensively in the literature. , A similar solution only exists for the case of a heated plate facing upward or a cooled plate facing downward. , Nevertheless, the underlying physical equations facilitate the understanding of the measured partial pressure field. Let us introduce dimensionless parameters for the concentration c , the hydrodynamic pressure ω, the positions x and y , and the respective velocities u and v : x̃ = x / L , ỹ = y / L , ũ = uL / v , ṽ = vL / v , ω̃ = ω L 2 /(ρ ∞ ν 2 ), and c̃ = ( c – c ∞ )/( c S – c ∞ ) .…”
Section: Resultsmentioning
confidence: 99%
“…Equation ( 4) is the boundary condition at x = 0, and this boundary is considered to be insulated. Equation ( 5) is the boundary condition at x = L, and it is considered as heat convection with heat transfer coefficient h. The heat transfer coefficient can be calculated using the correlation expressed in equation ( 6), proposed by Samie [17].…”
Section: Numerical Analysismentioning
confidence: 99%
“…A numerical and experimental investigation of natural-convection flow above a horizontal plate heated with a constant flux has been reported in [2]. Samie et al [3] analytically analyzed the natural-convection heat transfer below a hot horizontal isothermal flat strip of infinite length. Kozanoglu and Rubio [4] introduced a Nusselt number correlation for the natural-convection from a downward facing horizontal heated plate in which the characteristic length is defined based on the thermal boundary-layer thickness.…”
Section: Introductionmentioning
confidence: 99%