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

By: Prof. Fazal Rehman Shamil
Last modified on May 27th, 2019

[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
Prof. Fazal Rehman Shamil
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