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

By: Prof. Fazal Rehman Shamil

[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 Flow Velocity(Fv)Acceleration of Gravity (Ag)Mean depth (Md) Froude Number(Fn) 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