Froude Number, Flow velocity, Acceleration of gravity,Calculations and mean depth calculation formula and examples

By: Prof. Dr. Fazal Rehman | Last updated: March 3, 2022

[insert_php] $X = $Fv = $Ag = $Md =$Fn=1; $A=””; $display = “Null”; $result=0; if(isset($_POST[‘Calculate’])) { $Fv = $_POST[‘Fv’]; //assigning values from Form to valiables $Ag = $_POST[‘Ag’]; $Md = $_POST[‘Md’]; $Fn = $_POST[‘Fn’]; $A = $_POST[‘A’]; if($A==4) { $display= “Froude Number(Fn) = “; $result=$Fv/(sqrt($Ag*$Md)); } elseif ($A==1) { $display = “Flow velocity(Fv) =”; $result= $Fn*(sqrt($Ag*$Md)); } elseif($A==2) { $display = “Acceleration gravity”; $result= (($Fv*$Fv))/($Md*(($Fn*$Fn))); } elseif($A==3) { $display=”Mean Depth =”; $result= (($Fv*$Fv))/($Ag*(($Fn*$Fn))); } } [/insert_php]

Froude Number, Flow velocity, Acceleration of gravity,Calculations and mean depth calculation formula and examples

I want to Calculate
Froude Number(Fn)
Flow Velocity(Fv)
Acceleration of Gravity (Ag)
Mean depth (Md)
[insert_php] echo $display;[/insert_php]
[insert_php] if($A==4) { $display= "Froude Number(Fn) = "; echo "

Result of what you enter is : FroudeNumber =


"; echo "Formula : Flow velocity / (sqrt(Acceleration of Gravity * Mean depth))
"; echo "Result = ".$Fv."/(sqrt".$Ag."*".$Md."))
"; echo "Result = ".$result."


"; } elseif ($A==1) { $display = "Flow velocity(Fv) ="; echo "Calculate Flow Velocity
"; echo "Formula : Froude Number * (sqrt(Acceleration of Gravity * Mean depth))
"; echo "Result = ".$Fn."* (sqrt(".$Ag."*".$Md."))
"; echo "Result = ".$result."


"; } elseif($A==2) { $display = "Acceleration gravity"; echo "Calculate Acceleration of Gravity
"; echo "Formula : (Flow Velocity ^ 2) * (Mean depth * (Froude Number ^ 2))
"; echo "Result = (".$Fv."^ 2)/(".$Md."*((".$Fn." ^ 2))
"; echo "Result = ".$result."


"; } elseif($A==3) { $display="Mean Depth ="; echo "Calculate Mean depth
"; echo "Formula : (Flow Velocity ^ 2) / (Acceleration of Gravity * (Froude Number ^ 2))
"; //(($Fv*$Fv))/($Ag*(($Fn*$Fn))) echo "Result = (".$Fv."^ 2)/(".$Ag."*((".$Fn." ^ 2))
"; echo "Result = ".$result."


"; } [/insert_php]

Eaxmple of FroudeNumber

# Flow velocit Acceleration of Gravity Mean depth Formula Values Foude Number

1

12 14 18 $Fv/(sqrt($Ag*$Md)) 2/(sqrt(14*18)) 0.1259

2

9 16 18 $Fv/(sqrt($Ag*$Md)) 2/(sqrt(14*18)) 0.530

Eaxmple of Flow Velocity

# Foude Number Acceleration of Gravity Mean depth Formula Values Flow velocity

1

2 3 4 $Fn*(sqrt($Ag*$Md)) 2*(sqrt(14*18)) 6.98

2

13 15 20 $Fn*(sqrt($Ag*$Md)) 2*(sqrt(14*18)) 225.166

Eaxmple of Acceleration of Gravity

# Foude Number Flow Velocity Mean depth Formula Values Acceleration of Gravity

1

11 13 42 ($Fv*$Fv)/($Md*(($Fn*$Fn)) (13*13)/(42*(11*11)) 0.0332

1

10 19 8 ($Fv*$Fv)/($Md*(($Fn*$Fn)) (19*19)/(8*(10*10)) 0.45125

Eaxmple of Mean depth

# Foude Number Flow Velocity Acceleration of Gravity Formula Values Mean Depth

1

6 7 4 (($Fv*$Fv))/($Ag*(($Fn*$Fn))) (6*6)/(4*(7*7)) 0.034027

1

2 8 19 (($Fv*$Fv))/($Ag*(($Fn*$Fn))) (8*8)/(19*(2*2)) 0.842

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