References
- Benjamin , T. B. and Lighthill , M. J. 1954 . On cnoidal waves and bores . Proc. Roy. Soc. London A , 224 : 448 – 460 .
- Bose , S. K. and Dey , S. 2007 . Curvilinear flow profiles based on Reynolds averaging . J. Hydraulic Engng , 133 ( 9 ) : 1074 – 1079 .
- Chanson , H. 1993 . “ Characteristics of undular hydraulic jumps ” . In Res. Rep. CE146 , Brisbane, , Australia : Department of Civil Engineering, University of Queensland .
- Chanson , H. 1995 . “ Flow characteristics of undular hydraulic jumps: Comparison with near-critical flows ” . In Res. Rep. CH45/95 , Brisbane, , Australia : Department of Civil Engineering, University of Queensland .
- Chanson , H. 2000 . Boundary shear stress measurements in undular flows: Application to standing wave bed forms . Water Resources Res , 36 ( 10 ) : 3063 – 3076 .
- Chanson , H. and Montes , J. S. 1995 . Characteristics of undular hydraulic jumps: Experimental apparatus and flow patterns . J. Hydraulic Engng , 121 ( 2 ) : 129 – 144 . Discussion: 1997, 123(2), 161–164
- Dunbabin , R. 1996 . “ Velocity distributions within an undular hydraulic jump ” . In Bachelor Thesis , Hobart, , Australia : Department of Civil and Mechanical Engineering, University of Tasmania .
- Fawer , C. 1937 . “ Etude de quelques écoulements permanents à filets courbes ” . In Thesis , La Concorde, Lausanne, , Switzerland [in French] : Université de Lausanne .
- Furuya , Y. and Nakamura , L. 1968 . A semi-integrated momentum method for the auxiliary equation. Proc. Stanford Conf . AFOSR-IFP Computation of Boundary Layers , 1 : 235 – 246 .
- Gotoh , H. , Yasuda , Y. and Ohtsu , I. 2005 . Effect of channel slope on flow characteristics of undular hydraulic jumps . Trans. Ecology and Environment , 83 : 33 – 42 .
- Grillhofer , W. and Schneider , W. 2003 . The undular hydraulic jump in turbulent open channel flow at large Reynolds numbers . Physics of Fluids , 15 ( 3 ) : 730 – 735 .
- Hager , W. H. and Hutter , K. 1984a . Approximate treatment of plane channel flow . Acta Mech , 51 ( 3–4 ) : 31 – 48 .
- Hager , W. H. and Hutter , K. 1984b . On pseudo-uniform flow in open channel hydraulics . Acta Mech , 53 ( 3–4 ) : 183 – 200 .
- Iwasa , Y. 1955 . Undular jump and its limiting conditions for existence. Proc. 5th Japan Natl Congress . Applied Mech , II-14 : 315 – 319 .
- Mandrup-Andersen , V. 1975 . Transition from subcritical to supercritical flow . J. Hydraulic Res , 13 ( 3 ) : 227 – 238 .
- Mandrup-Andersen , V. 1978 . Undular hydraulic jump . J. Hydraulics Div. ASCE , 104 ( HY8 ) : 1185 – 1188 . Discussion: 105(HY9), 1208–1211
- Marchi , E. 1963 . Contributo allo studio del risalto ondulato . Giornale del Genio Civile , 101 ( 9 ) : 466 – 476 .
- Montes , J. S. A study of the undular jump profile . 9th Australasian Fluid Mech. Conf . Auckland. pp. 148 – 151 .
- Montes , J. S. 1998 . Hydraulics of open channel flow , Reston, VA : ASCE Press .
- Montes , J. S. and Chanson , H. 1998 . Characteristics of undular hydraulic jumps: Results and calculations . J. Hydraulic Engng , 124 ( 2 ) : 192 – 205 .
- Moses , H. L. 1964 . “ The behaviour of turbulent boundary layers in adverse pressure gradients ” . In Gas Turbine Laboratory Rep. 73 , Cambridge, MA : MIT .
- Ohtsu , I. , Yasuda , Y. and Gotoh , H. 2001 . Hydraulic condition for undular jump formations . J. Hydraulic Res , 39 ( 2 ) : 203 – 209 . Discussion 40(3), 379–384
- Ohtsu , I. , Yasuda , Y. and Gotoh , H. 2003 . Flow conditions of undular hydraulic jumps in horizontal rectangular channels . J. Hydraulic Engng , 129 ( 12 ) : 948 – 955 .
- Reinauer , R. and Hager , W. H. 1995 . Non-breaking undular hydraulic jump . J. Hydraulic Res , 33 ( 5 ) : 1 – 16 . Discussion 34(2), 279–287; 34(4), 567–573
- Serre , F. 1953 . Contribution à l'étude des écoulements permanents et variables dans les canaux . La Houille Blanche , 8 ( 6–7 ) : 374 – 388 . 8(12); 830–887 [in French]
- White , F. M. 1991 . Viscous fluid flow , New York : McGraw-Hill .