On the Calculation of Length Scales for Turbulent Heat Transfer Correlation

2000 ◽  
Vol 123 (5) ◽  
pp. 878-883 ◽  
Author(s):  
Michael J. Barrett ◽  
D. Keith Hollingsworth
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Reynolds Numbers ◽  
Streamwise Velocity ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Free Shear Layer ◽  
Integral Scale ◽  
Length Scales ◽  
Turbulence Length

Turbulence length scale calculation methods were critically reviewed for their usefulness in boundary layer heat transfer correlations. Using the variance of the streamwise velocity and the dissipation spectrum, a rigorous method for calculating an energy-based integral scale was introduced. A principal advantage of the new method is the capability to calculate length scales in a low-Reynolds-number turbulent boundary layer. The method was validated with data from grid-generated, free-shear-layer, and wall-bounded turbulence. Length scales were calculated in turbulent boundary layers with momentum thickness Reynolds numbers from 400 to 2100 and in flows with turbulent Reynolds numbers as low as 90.

A Summary of Experiments on Turbulent Heat Transfer From a Nonisothermal Flat Plate

1960 ◽  
Vol 82 (4) ◽  
pp. 341-348 ◽  
Author(s):  
W. C. Reynolds ◽  
W. M. Kays ◽  
S. J. Kline
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Experimental Investigation ◽  
Flat Plate ◽  
Reynolds Numbers ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Low Mach Number ◽  
Incompressible Boundary ◽  
Case Data

The results of an extensive experimental investigation of heat transfer to a turbulent incompressible boundary layer from a nonisothermal flat plate are summarized. Data presented extend the range of low-Mach-number confirmation of the von Karman analogy to Reynolds numbers of 4 × 106 for an isothermal plate. Data for a step wall-temperature distribution confirm experimentally the preferable expression for this important superposition kernel case. Data from a variety of other examples confirm the use of the superposition theories to predict heat transfer from nonisothermal surfaces.

DNS study on turbulent heat transfer induced by virtual turbulence at inlet in boundary layer on a flat plate

2020 ◽  
Vol 2020 (0) ◽  
pp. 0125
Author(s):  
Hirofumi HATTORI ◽  
Keita KANO ◽  
Haruka TADANO ◽  
Tomoya HOURA ◽  
Masato TAGAWA
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Flat Plate ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat

Direct numerical simulation of turbulent heat transfer across a sheared wind-driven gas–liquid interface

2016 ◽  
Vol 804 ◽  
pp. 646-687 ◽  
Author(s):  
Ryoichi Kurose ◽  
Naohisa Takagaki ◽  
Atsushi Kimura ◽  
Satoru Komori
Keyword(s):  
Heat Transfer ◽  
Numerical Simulation ◽  
Mass Transfer ◽  
Heat Flux ◽  
Streamwise Velocity ◽  
Liquid Interface ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Transfer Coefficients ◽  
Turbulent Eddies

Turbulent heat transfer across a sheared wind-driven gas–liquid interface is investigated by means of a direct numerical simulation of gas–liquid two-phase turbulent flows under non-breaking wave conditions. The wind-driven wavy gas–liquid interface is captured using the arbitrary Lagrangian–Eulerian method with boundary-fitted coordinates on moving grids, and the temperature fields on both the gas and liquid sides, and the humidity field on the gas side are solved. The results show that although the distributions of the total, latent, sensible and radiative heat fluxes at the gas–liquid interface exhibit streak features such that low-heat-flux regions correspond to both low-streamwise-velocity regions on the gas side and high-streamwise-velocity regions on the liquid side, the similarity between the heat-flux streak and velocity streak on the gas side is more significant than that on the liquid side. This means that, under the condition of a fully developed wind-driven turbulent field on both the gas and liquid sides, the heat transfer across the sheared wind-driven gas–liquid interface is strongly affected by the turbulent eddies on the gas side, rather than by the turbulent eddies and Langmuir circulations on the liquid side. This trend is quite different from that of the mass transfer (i.e. $\text{CO}_{2}$ gas). This is because the resistance to heat transfer is normally lower than the resistance to mass transfer on the liquid side, and therefore the heat transfer is controlled by the turbulent eddies on the gas side. It is also verified that the predicted total heat, latent heat, sensible heat and enthalpy transfer coefficients agree well with previously measured values in both laboratory and field experiments. To estimate the heat transfer coefficients on both the gas and liquid sides, the surface divergence could be a useful parameter, even when Langmuir circulations exist.

DNS, LES and RANS of turbulent heat transfer in boundary layer with suddenly changing wall thermal conditions

2013 ◽  
Vol 41 ◽  
pp. 34-44 ◽  
Author(s):  
Hirofumi Hattori ◽  
Shohei Yamada ◽  
Masahiro Tanaka ◽  
Tomoya Houra ◽  
Yasutaka Nagano
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Thermal Conditions ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat

Turbulent Heat Transfer at Low Reynolds Numbers

1969 ◽  
Vol 91 (4) ◽  
pp. 532-536 ◽  
Author(s):  
C. J. Lawn
Keyword(s):  
Heat Transfer ◽  
Gas Flow ◽  
Eddy Diffusivity ◽  
Reynolds Numbers ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Low Reynolds Numbers ◽  
Eddy Diffusivities ◽  
Uniform Wall ◽  
Uniform Wall Heat Flux

A realistic velocity profile and semiempirical values for the ratio of the eddy diffusivities of momentum and heat are used to solve the heat-balance equation for the situation of fully developed gas flow in a pipe with uniform wall heat flux. The predicted heat transfer is higher than the experimental at Reynolds numbers below 104 and this is shown to be due to the inadequacy of the simple eddy-diffusivity hypothesis.

An Explicit Algebraic Model for Turbulent Heat Transfer in Wall-Bounded Flow With Streamline Curvature

2006 ◽  
Vol 129 (4) ◽  
pp. 425-433 ◽  
Author(s):  
B. A. Younis ◽  
B. Weigand ◽  
S. Spring
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Heat Flux ◽  
Algebraic Model ◽  
Heat Fluxes ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Streamline Curvature ◽  
Turbulent Heat Fluxes ◽  
The Mean

Fourier’s law, which forms the basis of most engineering prediction methods for the turbulent heat fluxes, is known to fail badly in capturing the effects of streamline curvature on the rate of heat transfer in turbulent shear flows. In this paper, an alternative model, which is both algebraic and explicit in the turbulent heat fluxes and which has been formulated from tensor-representation theory, is presented, and its applicability is extended by incorporating the effects of a wall on the turbulent heat transfer processes in its vicinity. The model’s equations for flows with curvature in the plane of the mean shear are derived and calculations are performed for a heated turbulent boundary layer, which develops over a flat plate before encountering a short region of high convex curvature. The results show that the new model accurately predicts the significant reduction in the wall heat transfer rates wrought by the stabilizing-curvature effects, in sharp contrast to the conventional model predictions, which are shown to seriously underestimate the same effects. Comparisons are also made with results from a complete heat-flux transport model, which involves the solution of differential transport equations for each component of the heat-flux tensor. Downstream of the bend, where the perturbed boundary layer recovers on a flat wall, the comparisons show that the algebraic model yields indistinguishable predictions from those obtained with the differential model in regions where the mean-strain field is in rapid evolution and the turbulence processes are far removed from local equilibrium.

Some Effects of Variable Surface Temperature on Heat Transfer to a Partially Porous Flat Plate

1973 ◽  
Vol 95 (4) ◽  
pp. 319-325 ◽  
Author(s):  
D. A. Nealy
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Flat Plate ◽  
Porous Wall ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Variable Surface ◽  
Porous Flat Plate ◽  
Axial Heat ◽  
Thermodynamic Coupling

Based on a simple enthalpy thickness approach, results are presented for laminar and turbulent heat transfer to a partially porous, nonisothermal flat plate. The model employed accounts for thermodynamic coupling between the boundary layer and porous wall heat transfer problems, and is expanded to include consideration of axial heat conduction along the wall. The results indicate that partial injection can be expected to produce a highly nonisothermal surface, which in turn causes the external Stanton number distribution to differ markedly from that predicted previously for assumed isothermal wall conditions. The boundary layer prediction technique is shown to be in reasonably good agreement with recent analytical and experimental results reported in the literature.

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