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Research Papers: Fundamental Issues and Canonical Flows

Discharge Coefficients for Circular Side Outlets

[+] Author and Article Information
Laszlo Czetany

Budapest University of Technology
and Economics,
Faculty of Mechanical Engineering,
Department of Building Services and Process
Engineering,
Műegyetem rkp. 3.,
Budapest 1111, Hungary
e-mail: czetany@epget.bme.hu

Peter Lang

Budapest University of Technology
and Economics,
Faculty of Mechanical Engineering,
Department of Building Services and Process
Engineering,
Műegyetem rkp. 3.,
Budapest 1111, Hungary

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 29, 2017; final manuscript received December 20, 2017; published online March 19, 2018. Assoc. Editor: Jun Chen.

J. Fluids Eng 140(7), 071205 (Mar 19, 2018) (14 pages) Paper No: FE-17-1199; doi: 10.1115/1.4039117 History: Received March 29, 2017; Revised December 20, 2017

Fluid distributors are widely used in various industrial and ventilation applications. For the appropriate design of such distributors, the discharge coefficient has to be known to predict the energy and fluid distribution performance. Despite the vast amount of experimental data published, no generally applicable equations are available. Therefore, a new equation is presented for sharp-edged circular side outlets, which can be widely used for calculating the discharge coefficient. The equation is developed by regression with nonlinear least squares combined with genetic algorithm on experimental data available in the literature. The equation covers a wider range than the others presented in the literature.

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Figures

Grahic Jump Location
Fig. 1

Definition sketch of junction or outlet

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Fig. 2

Correction factors for data of Rohde et al. [20]

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Fig. 6

Cd0 constant as a function of s/d and Aout/Ain

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Fig. 7

C1 constant as a function of s/d and Aout/Ain

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Fig. 8

C2 constant as a function of s/d and Aout/Ain

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Fig. 9

C3 constant as a function of s/d and Aout/Ain

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Fig. 11

Achievable accuracy with (a) Eq. (11) with Eqs. (14) and (E1) and (b) Eq. (12) with Eqs. (14)(16)

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Fig. 3

Discharge coefficient for circular outlet versus the pressure ratio

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Fig. 4

Incompressible discharge coefficients as a function of dynamic and total pressure ratio upstream the circular opening in the main duct (measurement points and fitted curves)

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Fig. 5

Incompressible discharge coefficients as a function of dynamic and total pressure ratio upstream the opening. Adapted results of McNown, the Stanford experiments [34], and Brooks [39].

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Fig. 10

Limits of the results

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Fig. 12

Dependence of n on s/d and Aout/Ain ratios

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