online_dynamic_hydraulic_diffusivity:   Dynamic hydraulic diffusivity in unsteady open-channel flow INPUT DATA: Select:     SI units (metric) U.S. Customary units Flow velocity u :       Warning: Undefined variable $velocityunits in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 137 Flow depth y :       Warning: Undefined variable $lengthunits in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 142 Bottom slope So :       Warning: Undefined variable $nounits in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 147 Exponent β :       Warning: Undefined variable $nounits in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 153 [Q = α A β] Roll waves in an open channel. Formulas: F = u/(gy)1/2 V = (β - 1)F νk = (uy)/(2So) νd = νk (1 - V2) OUTPUT: Froude number F :  Warning: Undefined variable $froude in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 197 Deprecated: round(): Passing null to parameter #1 ($num) of type int|float is deprecated in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 197 0 Vedernikov number V :  Warning: Undefined variable $vedernikov in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 198 Deprecated: round(): Passing null to parameter #1 ($num) of type int|float is deprecated in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 198 0 Kinematic hydraulic diffusivity νk :  Warning: Undefined variable $kinematic in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 200 Deprecated: round(): Passing null to parameter #1 ($num) of type int|float is deprecated in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 200 0 Warning: Undefined variable $diffusivityunits in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 200 Dynamic hydraulic diffusivity νd :  Warning: Undefined variable $dynamic in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 202 Deprecated: round(): Passing null to parameter #1 ($num) of type int|float is deprecated in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 202 0 Warning: Undefined variable $diffusivityunits in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 202 Warning: Undefined variable $vedernikov in /var/www/html/ponce/onlinedynamichydraulicdiffusivity.php on line 204 Reference:  The dynamic hydraulic diffusivity reexamined.   Your request was processed at  11:30:48 am on April 2nd, 2025   [ 250402  11:30:48 ].   [140501]