Fluid flow and heat transfer of natural convection adjacent to upward‐facing inclined heated plates

Kimura, Fumihiko; Kitamura, Keiichi; Yamaguchi, Manabu; Asami, Toshihiko

doi:10.1002/htj.10091

Cited by 12 publications

(4 citation statements)

References 13 publications

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“…The crossover angle was determined by Lloyd & Sparrow [5] to lie between 14 • < φ c < 17 • . Other experiments carried out later agree generally with these findings [6][7][8][9][10][11].…”

Section: Introductionsupporting

confidence: 77%

Non-Boussinesq stability analysis of natural-convection gaseous flow on inclined hot plates

Rajamanickam

Coenen

Sánchez

2017

International Journal of Heat and Mass Transfer

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Section: Introductionsupporting

confidence: 77%

Non-Boussinesq stability analysis of natural-convection gaseous flow on inclined hot plates

Rajamanickam

Coenen

Sánchez

2017

International Journal of Heat and Mass Transfer

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“…The heat function and heatline analyzes were developed by Kimura and Bejan [30] to visualize heat transmission through the fluid flow, later Morega and Bejan [31] successfully used the concept of heatlines. Different researchers [32][33][34][35] used this concept for dissimilar applications of natural convective systems. The heat function (H * ) is defined as…”

Section: Heat Functionmentioning

confidence: 99%

Nonlinear Analysis of Cross Rolls of Electrically Conducting Fluid under an Applied Magnetic Field with Rotation

et al. 2023

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The proposed planer layer dynamo physical model has real-world applications, especially in the Earth’s liquid core. Thus, in this paper, an attempt is made to understand the finite amplitude convection when there exists a coupling between the Lorentz force and the Coriolis force. In particular, the effect of a horizontally applied magnetic field is studied on the Rayleigh–Bénard convection (RBC) that contains the electrically conducting fluid and rotates about its vertical axis. Free–free boundary conditions are assumed on the geometry. Attention is focused on the nonlinear convective flow behavior during the occurrence of cross rolls which are perpendicular to the applied magnetic field and parallel to the rotation axis. The visualization of cross rolls is achieved using the Fourier analysis of perturbations up to the O(ε8). The relationship of the Nusselt number (Nu) with respect to the Rayleigh number (R), the Ekman number (E), and the Elsasser number (Λ) is investigated. It is observed that E generates a strong damping effect on the flow velocity and on the heat transfer at high rotation rates. Using the heatline concept, it is observed that the temperature within the central regime is enhanced as the Λ increases. The results show that either E decreases or Λ increases, then the heat transfer rate increases.

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“…Meanwhile, one of the present authors carried out intensive measurements [5] on the heat transfer of natural convection from upward-facing, inclined plates. According to his results, the local Nusselt numbers at the location ξ downstream from the bottom leading edge, Nu ξ (= h ξ ⋅ ξ / λ) are well correlated with the modified Rayleigh numbers, Ra ξθ * (= g sin θ ⋅ βq w ξ 4 /λαn), and are expressed with the following equation…”

Section: Heat Transfer From Inclined Platesmentioning

confidence: 99%

Fluid flow and heat transfer of opposing mixed convection adjacent to upward‐facing, inclined heated plates

Misumi

Shigemaru

Kitamura

et al. 2007

Heat Trans. Asian Res.

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Opposing mixed convective flows of air induced over uniformly heated, upward-facing, inclined plates were investigated experimentally. The experiments covered the ranges of the Reynolds and modified Rayleigh numbers, Re L = 7.2 × 10 2 to 1 × 10 4 and Ra L * = 5 × 10 6 to 8 × 10 8 , and the inclination angles from θ = 15 to 75°f rom horizontal. The flow fields over plates were visualized with smoke. The results showed that a separation of forced boundary layer flow occurs first at the trailing edge, and then the separation point shifts toward upstream with increasing the wall heat flux, and finally, reaches to the leading edge of the plates. It was also found that the separations at the trailing and leading edges are correlated well with the non-dimensional parameter as (Gr θ * /Re L 2.5 ) = 0.35 and 1.0, respectively. The local heat transfer coefficients of the inclined plates were also measured and the results showed that the above separation retards the heat transfer significantly from that of the forced convection. It was also revealed that the heat transfer by forced, natural, and combined convections can be classified with the above parameter as (Gr θ * / Re L 2.5 ) < 0.2, (Gr θ * )/Re L 2.5 ) > 3, and 0.2 < (Gr θ * /Re L 2.5 ) < 3, respectively.

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Fluid flow and heat transfer of natural convection adjacent to upward‐facing inclined heated plates

Cited by 12 publications

References 13 publications

Non-Boussinesq stability analysis of natural-convection gaseous flow on inclined hot plates

Non-Boussinesq stability analysis of natural-convection gaseous flow on inclined hot plates

Nonlinear Analysis of Cross Rolls of Electrically Conducting Fluid under an Applied Magnetic Field with Rotation

Fluid flow and heat transfer of opposing mixed convection adjacent to upward‐facing, inclined heated plates

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