Branched channel free-streamlines

Hassenpflug, W.C.

doi:10.1016/s0045-7825(97)00277-6

Cited by 7 publications

(9 citation statements)

References 12 publications

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“…Another practical situation is the flow in branched channels as systematically studied by Hassenpflug [6]. To demonstrate the capability of the present method to simulate flow separation in branched channels, the first example of Hassenpflug [6] consisting of two perpendicular inlets with identical flow velocities is examined here, and the results are shown in Fig.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The hodograph transformation method used in [3,4] is efficient for two-dimensional and axisymmetric problems [4,5]. According to Hassenpflug [6], when the liquid is at very high Reynolds numbers and the region adjacent to the free streamline is gas, the model is a good description of the actual physical flow. However, the solution procedure of the indirect hodograph method is rather restrictive [4], and in practice it is difficult to impose the boundary conditions as assumed in the theory [6].…”

Section: Introductionmentioning

confidence: 99%

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Smoothed particle hydrodynamics simulations of flow separation at bends

et al. 2014

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Smoothed particle hydrodynamics simulations of flow separation at bends

et al. 2014

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“…This includes the size, shape, slope, angles between the dividing channels and the flow Reynolds and Froude numbers. Thereby, many investigators [1][2][3][4][5][6][7][8][9][10][11][12][13] studied this problem to stand on the main factors affecting this problem and determine the practical solutions. After investigating the flow at 90 o open channel junction, Hsu [6] concluded that the energy heads upstream and downstream of the diversion almost be equal.…”

Section: Introductionmentioning

confidence: 99%

“…Ali and Gommah [4] succeeded for the second time to apply the same previous technique plus super-position technique according to Milne-Thomson [15] to evaluate the flow characteristics at open channel junction. Hassenpflug [7] had derived equations of free-streamline flow of a branched channel in plane incompressible flow using the hodograph method combined with Blasius-Prandtl method. He [7] also gave correct results of Modi et al [10] and Sinha and Odgaard.…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Analysis of Dividing Flow in Short Open Channel Tributaries

Ali

Abozeid

A.M

et al. 2008

JES. Journal of Engineering Sciences

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Dividing flow in open channel junction is of interest in environmental and hydraulic engineering. It occurs in many hydraulic structures ranging from wastewater treatment facilities to fish passage conveyance structures, irrigation and drainage canals and natural river system. In this research, Schwarz-Christoffel transformation and principle of energy are used to predict the flow rates, the flow depths and values of Froude number in the tributary channels of rectangular open channel junction with three tributary channels. Also, an experimental program is performed to verify the numerical results of the theoretical solutions. The difficulty of a theoretical study of the dividing flow in an open channel due to the flow separation, recirculation regions and possibility of formation of hydraulic jump makes the complete numerical analysis of the problem impossible. However, in this study, with some particular assumptions to the problem, by adopting the conformal mapping technique (Schwarz-Christoffel transformation theory) and by applying the principle of conservation of energy, the flow pattern at a rectangular junction with three tributary channels is simulated; the numerical model is programmed on the computer with MATLAB Version 6.0.0.88 and the flow characteristics are evaluated. The verification of the results of the numerical model shows a will agreement between these results and those from the experimental model. The results revealed that: 1) Froude number in the main channel has negligible influence on the flow rates in the branches. 2) Flow characteristics in the main channel extension or in the branches depend largely on the geometrical dimensions of the junction. 3) The relative depths in the tributary channels independent of the junction geometry.

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“…Two-dimensional flows can be modelled by assuming the flow to be inviscid and irrotational [3,[6][7][8]. Given these assumptions, the velocity field can be calculated using conformal maps.…”

Section: Introductionmentioning

confidence: 99%