Fluid Mechanics Equations in LaTeX, Plain TeX & MathML

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Fluid Mechanics Equations in LaTeX, Plain TeX & MathML

Fluid Mechanics Equations in LaTeX, Plain TeX & MathML

If you are working on your fluid mechanics assignment or you are building a website and you need some of the most important fluid mechanics equations in LaTeX, Plain TeX or MathML formats, TheFluidMechanic.com offers you all these essential equations and formulae. In this post, you can find the LaTeX, Plain TeX and MathML formats for the following equations :

  • Hazen-Williams equation in SI units
  • Hazen-Williams equation in English units
  • Manning's equation in SI units
  • Manning's equation in English units
  • Darcy-Weisbach equation
  • Chezy equation
  • Continuity equation

LaTeX

Hazen-Williams equation (SI units) :

\[{h_f} = 10.7 \times {\left( {\frac{Q}{C}} \right)^{1.852}} \times \frac{L}{{{D^{4.87}}}}\]

Hazen-Williams equation in LaTeX format :

\[{h_f} = 10.7 \times {\left( {\frac{Q}{C}} \right)^{1.852}} \times \frac{L}{{{D^{4.87}}}}\]

Hazen-Williams equation in Plain TeX format :

$${h_f} = 10.7 \times {\left( {{Q \over C}} \right)^{1.852}} \times {L \over {{D^{4.87}}}}$$

Hazen-Williams equation in MathML format :

<math display='block'>
<msub>
<mi>h</mi>
<mi>f</mi>
</msub>
<mo>=</mo><mn>10.7</mn><mo>&#x00D7;</mo><msup>
<mrow><mo>(</mo>
<mrow>
<mfrac>
<mi>Q</mi>
<mi>C</mi>
</mfrac>
</mrow>
<mo>)</mo></mrow>
<mrow>
<mn>1.852</mn></mrow>
</msup>
<mo>&#x00D7;</mo><mfrac>
<mi>L</mi>
<mrow>
<msup>
<mi>D</mi>
<mrow>
<mn>4.87</mn></mrow>
</msup>
</mrow>
</mfrac>
</math>


Hazen-Williams equation (English units) :

\[{h_f} = 4.73 \times {\left( {\frac{Q}{C}} \right)^{1.852}} \times \frac{L}{{{D^{4.87}}}}\]

Hazen-Williams equation in LaTeX format :

\[{h_f} = 4.73 \times {\left( {\frac{Q}{C}} \right)^{1.852}} \times \frac{L}{{{D^{4.87}}}}\]

Hazen-Williams equation in Plain TeX format :

$${h_f} = 4.73 \times {\left( {{Q \over C}} \right)^{1.852}} \times {L \over {{D^{4.87}}}}$$

Hazen-Williams equation in MathML format :

<math display='block'>
<msub>
<mi>h</mi>
<mi>f</mi>
</msub>
<mo>=</mo><mn>4.73</mn><mo>&#x00D7;</mo><msup>
<mrow><mo>(</mo>
<mrow>
<mfrac>
<mi>Q</mi>
<mi>C</mi>
</mfrac>
</mrow>
<mo>)</mo></mrow>
<mrow>
<mn>1.852</mn></mrow>
</msup>
<mo>&#x00D7;</mo><mfrac>
<mi>L</mi>
<mrow>
<msup>
<mi>D</mi>
<mrow>
<mn>4.87</mn></mrow>
</msup>
</mrow>
</mfrac>
</math>


Manning's equation (SI units) :

\[Q = \frac{1}{n}A{R^{{\raise0.5ex\hbox{$\scriptstyle 2$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 3$}}}}{S^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}\]

Manning's equation in LaTeX format :

\[Q = \frac{1}{n}A{R^{{\raise0.5ex\hbox{$\scriptstyle 2$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 3$}}}}{S^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}\]

Manning's equation in Plain TeX format :

$$Q = {1 \over n}A{R^{{\raise0.5ex\hbox{$\scriptstyle 2$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 3$}}}}{S^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}$$

Manning's equation in MathML format :

<math display='block'>
<mi>Q</mi><mo>=</mo><mfrac>
<mn>1</mn>
<mi>n</mi>
</mfrac>
<mi>A</mi><msup>
<mi>R</mi>
<mrow>
<mstyle scriptlevel='+1'>
<mfrac bevelled='true'>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mstyle>
</mrow>
</msup>
<msup>
<mi>S</mi>
<mrow>
<mstyle scriptlevel='+1'>
<mfrac bevelled='true'>
<mn>1</mn>
<mn>2</mn>
</mfrac>
</mstyle>
</mrow>
</msup>
</math>


Manning's equation (English units) :

\[Q = \frac{{1.49}}{n}A{R^{{\raise0.5ex\hbox{$\scriptstyle 2$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 3$}}}}{S^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}\]

Manning's equation in LaTeX format :

\[Q = \frac{{1.49}}{n}A{R^{{\raise0.5ex\hbox{$\scriptstyle 2$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 3$}}}}{S^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}\]

Manning's equation in Plain TeX format :

$$Q = {{1.49} \over n}A{R^{{\raise0.5ex\hbox{$\scriptstyle 2$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 3$}}}}{S^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}$$

Manning's equation in MathML format :

<math display='block'>
<mi>Q</mi><mo>=</mo><mfrac>
<mrow>
<mn>1.49</mn></mrow>
<mi>n</mi>
</mfrac>
<mi>A</mi><msup>
<mi>R</mi>
<mrow>
<mstyle scriptlevel='+1'>
<mfrac bevelled='true'>
<mn>2</mn>
<mn>3</mn>
</mfrac>
</mstyle>
</mrow>
</msup>
<msup>
<mi>S</mi>
<mrow>
<mstyle scriptlevel='+1'>
<mfrac bevelled='true'>
<mn>1</mn>
<mn>2</mn>
</mfrac>
</mstyle>
</mrow>
</msup>
</math>


Darcy-Weisbach equation :

\[{h_f} = \frac{{fL}}{D} \times \frac{{{v^2}}}{{2g}}\]

Darcy-Weisbach equation in LaTeX format :

\[{h_f} = \frac{{fL}}{D} \times \frac{{{v^2}}}{{2g}}\]

Darcy-Weisbach equation in Plain TeX format :

$${h_f} = {{fL} \over D} \times {{{v^2}} \over {2g}}$$

Darcy-Weisbach equation in MathML format :

<math display='block'>
<msub>
<mi>h</mi>
<mi>f</mi>
</msub>
<mo>=</mo><mfrac>
<mrow>
<mi>f</mi><mi>L</mi></mrow>
<mi>D</mi>
</mfrac>
<mo>&#x00D7;</mo><mfrac>
<mrow>
<msup>
<mi>v</mi>
<mn>2</mn>
</msup>
</mrow>
<mrow>
<mn>2</mn><mi>g</mi></mrow>
</mfrac>
</math>


Chezy equation :

\[Q = CA{\left( {RS} \right)^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}\]

Chezy equation in LaTeX format :

\[Q = CA{\left( {RS} \right)^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}\]

Chezy equation in Plain TeX format :

$$Q = CA{\left( {RS} \right)^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scriptstyle 2$}}}}$$

Chezy equation in MathML format :

<math display='block'>
<mi>Q</mi><mo>=</mo><mi>C</mi><mi>A</mi><msup>
<mrow><mo>(</mo>
<mrow>
<mi>R</mi><mi>S</mi></mrow>
<mo>)</mo></mrow>
<mrow>
<mstyle scriptlevel='+1'>
<mfrac bevelled='true'>
<mn>1</mn>
<mn>2</mn>
</mfrac>
</mstyle>
</mrow>
</msup>
</math>


Continuity equation :

\[Q = A \times v\]

Continuity equation in LaTeX format :

\[Q = A \times v\]

Continuity equation in Plain TeX format :

$$Q = A \times v$$

Continuity equation in MathML format :

<math display='block'>
<mi>Q</mi><mo>=</mo><mi>A</mi><mo>&#x00D7;</mo><mi>v</mi>
</math>


If you need a certain formula or equation in LaTex, Plain TeX or MathML formats, simply comment on the post and we will add the equation that you need as soon as possible.

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