A NEW METHOD FOR SOLVING KINEMATIC WAVE EQUATIONS OF CONVERGING FLOWS

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SHOKOUHI A.R.; SAGHAFIAN B.; KOUCHAKZADEH S.

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Journal: Year:2002 | Volume:15 | Issue:2 (55 IN NATURAL RESOURCES) Page(s): 73-77

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Information Journal Paper

Title

A NEW METHOD FOR SOLVING KINEMATIC WAVE EQUATIONS OF CONVERGING FLOWS

Author(s)

SHOKOUHI A.R. | SAGHAFIAN B. | KOUCHAKZADEH S. | Issue Writer Certificate

Keywords

KINEMATIC WAVEQ4

CONVERGING PLANEQ4

HYDROGRAPHQ4

EQUILIBRIUM TIMEQ4

DISCHARGE REDUCTION FACTORQ4

Abstract

In this paper, a new analytical method for solving KINEMATIC WAVE equations on CONVERGING PLANEs, in which convergence of flow lines complicates the continuity equation, is presented. Veal (1966) derived the continuity and momentum equations in unsteady state for CONVERGING PLANEs and numerical solutions for some special cases. Numerical solution of Veal’s equations has been reported by Woolhiser (1967, 1969) and Singh (1996) as well. This research is based on Agiralioglu method (1984) for determining the equilibrium(concentration) time on CONVERGING PLANEs, by nondimensionalizing of Veals equations and determining the ratio of converging pal ne time to equilibrium to that of a rectangular plane. In the new method presented in this paper, location of wave front and the corresponding equilibrium discharge (Qe) at each time step are calculated. For translation of the calculated discharge at wave front location to the outlet, a reduction factor based on the varying degree of convergence in each time step is proposed.Multiplication of this factor by the Qe yields discharge at the outlet. This procedure must be iterated until the wave front reaches the outlet. Results of applying the new method and Woollier numerical technique to a representative problem are compared. The outcome indicates that the two methods present similar results, where the proposed in this paper is analytically-based and has no stability condition.

Cites

ISOCHRONES DELINEATION IN CONVERGING FLOWS FOR USING IN TIME-AREA METHOD

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APA: Copy

SHOKOUHI, A.R., SAGHAFIAN, B., & KOUCHAKZADEH, S.. (2002). A NEW METHOD FOR SOLVING KINEMATIC WAVE EQUATIONS OF CONVERGING FLOWS. PAJOUHESH-VA-SAZANDEGI, 15(2 (55 IN NATURAL RESOURCES)), 73-77. SID. https://sid.ir/paper/19500/en

Vancouver: Copy

SHOKOUHI A.R., SAGHAFIAN B., KOUCHAKZADEH S.. A NEW METHOD FOR SOLVING KINEMATIC WAVE EQUATIONS OF CONVERGING FLOWS. PAJOUHESH-VA-SAZANDEGI[Internet]. 2002;15(2 (55 IN NATURAL RESOURCES)):73-77. Available from: https://sid.ir/paper/19500/en

IEEE: Copy

A.R. SHOKOUHI, B. SAGHAFIAN, and S. KOUCHAKZADEH, “A NEW METHOD FOR SOLVING KINEMATIC WAVE EQUATIONS OF CONVERGING FLOWS,” PAJOUHESH-VA-SAZANDEGI, vol. 15, no. 2 (55 IN NATURAL RESOURCES), pp. 73–77, 2002, [Online]. Available: https://sid.ir/paper/19500/en

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