Volume 17, Numéro 4, Pages 59-71

Critical Flow In A Triangular-shaped Channel

Authors : Achour Bachir . Amara Lyes .


The functional (yc;m;S0;;) = 0 relationship has been well defined and theoretically established for the triangular-shaped channel, where yc is the critical depth, m is the side slope, S0 is the channel bottom slope,  is the absolute roughness, and  is the kinematic viscosity of the flowing water. A thorough investigation of the function revealed that the critical depth yc is governed by a cubic equation without second-order term. Its analytical resolution is very easy when one uses the circular or hyperbolic trigonometry. The article ends with the study of the special case of the smooth triangular-shaped channel of a 90° apex angle by examining the equation that governs the critical depth It turned out that yc is given by an explicit equation, as a function of m, S0, and  . In addition, it has been demonstrated that, for such a canal, the more the slope S0 increases, the more the critical depth decreases. Moreover, it was observed that, for the same slope S0, the critical depth decreases as the side slope m increases, i.e. when the apex angle of the channel increases. For slopes S0 less than 0.0012, the critical depths are so high that they are outside the practical context. As a matter of fact, for the slope S0 = 0.0012, the critical depth already reaches more than 5m.


Triangular channel ; critical depth ; normal depth ; critical flow ; dischare ; slope

Critical Flow In A Rectangular-shaped Channel

Achour Bachir .  Amara Lyes . 
pages 73-80.

New Theoretical Considerations On The Gradually Varied Flow In A Triangular Channel

Bachir Achour .  Lyes Amara .  Darshan Mehta . 
pages 69-90.

Numerical Analysis Of Turbulent Forced-convection Flow In A Channel With Staggered L-shaped Baffles

Menni Y. .  Azzi A .  Zidani C. .  Benyoucef B. . 
pages 44-55.

Effect Of Fin Spacing On Turbulent Heat Transfer In A Channel With Cascaded Rectangular-triangular Fins

Menni Younes .  Azzi Ahmed .  Zidani Chafika .  Benyoucef Boumédiène . 
pages 10-21.