Solution of the propagation of the waves in open channels by the transfer matrix method

Daneshfaraz, Rasoul; Kaya, Birol

doi:10.1016/j.oceaneng.2008.05.002

Cited by 14 publications

(11 citation statements)

References 5 publications

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“…Indeed, as far as the simplest rheological model is concerned (i.e. : newtonian fluid), the solution of the Linearized Saint-Venant Equations (LSVE) has been deduced by different techniques [37,11,23,64,38,39,57,14,20] and it has been variously applied. For instance, the knowledge of its analytical expression allowed to enlighten some peculiar flow features of the waves [37,57,16], to design automatic controllers for water distribution in openchannel systems [38,39,42], to assess the applicability of simplified methods for flood routing [64], to predict the propagation of long ocean waves into channels [9], to conceptually support semi-empirical criteria aimed to predict roll-waves occurrence [43,34,17,19].…”

Section: Introductionmentioning

confidence: 99%

“…With reference to the linearized version of a twoequation Bingham fluid model, Trowbridge [62], examining the temporal growth or decay of a spatially periodic disturbance, deduced the conditions for which a base uniform flow is linearly unstable. The generality of this method, which only requires the shear stress to be a single-valued differentiable function of the flow depth and velocity, allowed to determine the instability conditions even for other rheological models, such as Herschel & Bulkley [14] and Generalized Viscoplastic models [68].…”

Section: Introductionmentioning

confidence: 99%

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Waves dynamics in a linearized mud-flow Shallow model

Cristo¹,

Iervolino²,

Vacca³

2013

ams

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The study of formation and evolution of waves in mud-flows is strongly motivated by their destructive power. The rheology of these flows, which involve massive solid transport, is often described using linear or non-linear viscoplastic models. The paper analyzes the wave dynamics of mud-flows, presenting the linearized response of the 1D uniform flow of a viscoplastic fluid with yield stress, i.e. Herschel & Bulkley fluid, to a pointwise impulsive forcing term. The solution in either linearly stable or unstable conditions is found, for both subcritical and supercritical flows, through the bilateral inverse Laplace transform. The analysis offers a unified description of the behaviour of different non-newtonian fluids, recovering as particular cases both the Bingham and the power-law models. The influence of the dimensionless governing numbers and of the rheological parameters on the shape and peak of waves is investigated.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Waves dynamics in a linearized mud-flow Shallow model

Cristo¹,

Iervolino²,

Vacca³

2013

ams

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“…The dynamic behavior can be described by a set of equations known as the St. Venant equations (Daneshfaraz and Kaya 2008;Norouzi et al 2019). FLOW-3D is used to solve complicated fluid dynamics problems; it is able to model a wide range of fluid flows.…”

Section: Continuity Equations Momentum and Free Surfacementioning

confidence: 99%

Investigation of trapezoidal sharp-crested side weir discharge coefficients under subcritical flow regimes using CFD

et al. 2019

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Side weirs are utilized to regulate water surface and to control discharge and water elevation in rivers and channels. Here, the discharge coefficient for trapezoidal sharp-crested side weirs (TSCSW) and their affecting parameters are numerically investigated. To simulate the hydraulic and geometric characteristics of TSCSWs, three weir crest lengths of 15 cm, 20 cm and 30 cm with lengths of 20 cm, 30 cm and 40 cm and with two different sidewall slopes are utilized. The results show that for constant P/B (P: weir height, B: main channel width), the depth of flow along the channel and weir decreases as the crest length increases. Also, with increasing P/y 1 ratio (P: weir height, y 1 : upstream flow depth), the discharge coefficient decreases for small crest lengths and increases for large crest lengths. The results show that for constant T/L ratio (T: passing flow width, L: side weir crest length), increasing the length, height and sidewall slope of a side weir will increase the discharge coefficient. It is observed that as the upstream Froude number increases for side weirs with longer crest lengths, the intensity of deviating flow and kinetic energy over the TSCSW will increase. Finally, some relations with high correlation factors are proposed for obtaining discharge coefficients using the dimensionless parameters of P/y 1 , T/L and Fr 1 . Based on proposed relations and sensitivity analysis, it is shown that T/L and P/y 1 are the most effective parameters for reducing the discharge coefficient reduction.

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“…On the other hand, in the specialized literature, approximated analytic solutions for the long wave equations with different propagation conditions based on Bessel functions, power series and transfer matrix methods can be found elsewhere (see [19,23,24]). …”

Section: Introductionmentioning

confidence: 99%