Fully developed turbulent flow in a square duct with a rough wall.

Abstract Using multi-GPU in lattice Boltzmann method (LBM), fully developed turbulent flow in a square duct at the friction Reynolds numbers (Reτ) of 300, 600, 1200 and 1800 are simulated. Through simulation of three-dimensional lid-driven cavity flow under different Reynolds number (Re), the accuracy of lattice Bhatnager-Gross-Krook (LBGK) multi-GPU program is validated. For turbulent flow in a square duct, all mean velocity, secondary flows, root mean square (rms) of pulsating velocity and Reynolds shear stress predicted by LBGK under the lower Reτ agree well with the literature results, which further verified the effectiveness of the LBGK. In addition, fully developed turbulent flow in a square duct with Reτ up to 1800 predicted by LBGK with 600 million grids provides a reference for turbulent flows under high Reτ . Numerical results show that the LBGK model with low accuracy successfully captures turbulent characteristics for flows at high Re by increasing the grid size, indicating the feasibility and practicality of multi-GPU LBM for modeling industrial flows.

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Numerical Analysis of Forced Convection Heat Transfer for Turbulent Flow in a Square Duct with a Rough Wall.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.60.2840 ◽

1994 ◽

Vol 60 (576) ◽

pp. 2840-2847

Author(s):

Hitoshi Sugiyama ◽

Mitsunobu Akiyama ◽

Masashi Matsumoto ◽

Masaru Hirata

Keyword(s):

Heat Transfer ◽

Numerical Analysis ◽

Turbulent Flow ◽

Forced Convection ◽

Convection Heat Transfer ◽

Rough Wall ◽

Convection Heat ◽

Square Duct ◽

Forced Convection Heat Transfer

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THE NUMERICAL PREDICTION OF FULLY DEVELOPED TURBULENT FLOW AND HEAT TRANSFER IN A SQUARE DUCT WITH TWO ROUGHENED FACING WALLS

Proceeding of International Heat Transfer Conference 8 ◽

10.1615/ihtc8.1850 ◽

1986 ◽

Cited By ~ 1

Author(s):

Hideomi Fujita ◽

Hajime Yokosawa ◽

Chikayuki Nagata

Keyword(s):

Heat Transfer ◽

Turbulent Flow ◽

Numerical Prediction ◽

Square Duct ◽

Flow And Heat Transfer ◽

Fully Developed Turbulent Flow

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Fully developed turbulent flow of non–Newtonian liquids through a square duct

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2000.0698 ◽

2001 ◽

Vol 457 (2008) ◽

pp. 911-936 ◽

Cited By ~ 23

Author(s):

P. Escudier ◽

S. Smith

Keyword(s):

Turbulent Flow ◽

Square Duct ◽

Fully Developed Turbulent Flow ◽

Newtonian Liquids

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Experimental Study on Convective Heat Transfer for Turbulent Flow in a Square Duct With a Ribbed Rough Wall (Characteristics of Mean Temperature Field)

Journal of Heat Transfer ◽

10.1115/1.2911405 ◽

1994 ◽

Vol 116 (2) ◽

pp. 332-340 ◽

Cited By ~ 21

Author(s):

M. Hirota ◽

H. Fujita ◽

H. Yokosawa

Keyword(s):

Heat Transfer ◽

Temperature Field ◽

Turbulent Flow ◽

Cross Section ◽

Rough Wall ◽

Turbulent Shear ◽

Turbulent Heat ◽

Square Duct ◽

Mean Temperature ◽

The Mean

This paper presents experimental results concerning a time-mean temperature field obtained in forced convection heat transfer for a turbulent flow through a square duct with a ribbed rough bottom wall. The secondary flow pattern in the duct is reflected in the distribution of the local Nusselt number, the values of which on the smooth walls of the rough duct are 1.71~1.97 times those of the smooth duct. In the upper half cross section near the upper smooth wall opposite the bottom ribbed rough wall, the profile of the mean temperature distribution is similar to that of the primary flow velocity distribution, and the validity of the temperature inner law was confirmed. However, in the lower half cross section near the bottom ribbed rough wall, the dissimilarity between the mean velocity and the mean temperature fields becomes pronounced, and the inner law is not valid for mean temperature distributions. The mechanism of the heat transfer near the ribbed rough wall was examined based on the transport equations of turbulent shear stress and turbulent heat flux.

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