inconsistent Vertical Spacing between equation and text












0















I have some problems in spacing.
I just want to put equations in the text.
What I found is that the vertical spacing between the equation and text is not consistent.
Some is large and some is small. Both spacings above and below equation are not consistent.
How do I get consistent spacing in the entire thesis?
I can adjust spacing using vspace{baselineskip}.
But I am not sure the spacing is exactly the same or not. It doesnt seems good solution.
Here is my code.



documentclass[twoside]{utmthesis}
%According to the new manual, should not mixed single-side with two-side
printing
usepackage{graphicx}
usepackage{url}
%usepackage[pages=some]{background}
usepackage{lipsum}
usepackage{pdflscape}
usepackage{verbatim}
usepackage{textcomp}
usepackage{mhchem}
usepackage{amsmath}
usepackage{listings}
usepackage{graphicx}
usepackage{mwe}
usepackage{xr}
usepackage{siunitx}
usepackage{float}
usepackage{subfig}
newsavebox{bigleftbox}
usepackage{tikz}
usepackage{nameref}
%usepackage[printonlyused]{acronym}
usepackage{romannum}
usetikzlibrary{shapes.geometric, arrows}
usepackage{natbib}
letcitecitep
bibliographystyle{utmthesis-authordate}

begin{document}
subsection{1D numerical modeling of the SI-engine}
vspace{baselineskip}
The numerical models and related equations applied in the 1D engine
simulation are presented and briefly discussed.
subsubsection{Pipe}
vspace{baselineskip}
In one-dimension modeling of flow through the pipes, working fluid is
assumed that it is flowing in one-direction, instead of three direction (X,
Y, and Z). It seems plausible, as most fluid particles are moving mostly in
longitudinal direction rather than radial direction of the pipe. A one-
dimensional pipe flow is described by Euler equation which is given in
conservation form below.

begin{equation} label{Euler}
frac{partial mathbf{U}}{partial t} + frac{partial mathbf{F(U)}}
{partial x}= mathbf{S(U)}
end{equation}

$textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
respectively which are represented as follows.

begin{equation}
mathbf{U}= begin{pmatrix}
rho \
rho cdot u \
rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
rho cdot w_j end{pmatrix},,, , ,,, mathbf{F}= begin{pmatrix}
rho cdot u \
rho cdot u^2 + p \
rho cdot (E+p) \
rho cdot u cdot w_j end{pmatrix}
end{equation}

With total energy, $E$ is given as below.

begin{equation} label{E}
begin{split}
E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
end{split}
end{equation}

The source term, $textbf{S}$ is divided into two different sub-source
terms.

begin{equation} label{S}
mathbf{S(U)}= mathbf{S_A(F(U))} + mathbf{S_R(U)}
end{equation}

$mathbf{S_A}$ is the source term caused by axial changes in the pipe cross
section.

begin{equation} label{Sa}
mathbf{S_A(F(U))}= - frac{1}{A} cdot frac{dA}{dx} cdot left(F +
begin{pmatrix}
0 \
-p \
0 \
0
end{pmatrix} right)
end{equation}

$mathbf{S_R}$ is the source term taking into account homogeneous chemical
reaction, friction, heat and mass transfer between gas and solid phase.

begin{equation} label{Sr}
mathbf{S_R(F(U))}= begin{pmatrix}
0 \
-frac{F_R}{V} \
frac{q_w}{V} \
M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
dot{r_i}right)end{pmatrix}
end{equation}

bibliography{reference}
end{document}


enter image description here










share|improve this question


















  • 1





    Welcome to TeX-SE! Why do you have empty lines before and after the equation environments?

    – marmot
    Mar 31 at 4:56











  • That's university format. I need certain spacing before and after equation. I am using the format that university made. The problem is that spacing is not consistent as I mention.

    – Je Young Kim
    Mar 31 at 5:13






  • 1





    I see. But then the appropriate way of increasing the padding is not to add empty lines, but tex.stackexchange.com/a/69665/121799.

    – marmot
    Mar 31 at 5:15
















0















I have some problems in spacing.
I just want to put equations in the text.
What I found is that the vertical spacing between the equation and text is not consistent.
Some is large and some is small. Both spacings above and below equation are not consistent.
How do I get consistent spacing in the entire thesis?
I can adjust spacing using vspace{baselineskip}.
But I am not sure the spacing is exactly the same or not. It doesnt seems good solution.
Here is my code.



documentclass[twoside]{utmthesis}
%According to the new manual, should not mixed single-side with two-side
printing
usepackage{graphicx}
usepackage{url}
%usepackage[pages=some]{background}
usepackage{lipsum}
usepackage{pdflscape}
usepackage{verbatim}
usepackage{textcomp}
usepackage{mhchem}
usepackage{amsmath}
usepackage{listings}
usepackage{graphicx}
usepackage{mwe}
usepackage{xr}
usepackage{siunitx}
usepackage{float}
usepackage{subfig}
newsavebox{bigleftbox}
usepackage{tikz}
usepackage{nameref}
%usepackage[printonlyused]{acronym}
usepackage{romannum}
usetikzlibrary{shapes.geometric, arrows}
usepackage{natbib}
letcitecitep
bibliographystyle{utmthesis-authordate}

begin{document}
subsection{1D numerical modeling of the SI-engine}
vspace{baselineskip}
The numerical models and related equations applied in the 1D engine
simulation are presented and briefly discussed.
subsubsection{Pipe}
vspace{baselineskip}
In one-dimension modeling of flow through the pipes, working fluid is
assumed that it is flowing in one-direction, instead of three direction (X,
Y, and Z). It seems plausible, as most fluid particles are moving mostly in
longitudinal direction rather than radial direction of the pipe. A one-
dimensional pipe flow is described by Euler equation which is given in
conservation form below.

begin{equation} label{Euler}
frac{partial mathbf{U}}{partial t} + frac{partial mathbf{F(U)}}
{partial x}= mathbf{S(U)}
end{equation}

$textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
respectively which are represented as follows.

begin{equation}
mathbf{U}= begin{pmatrix}
rho \
rho cdot u \
rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
rho cdot w_j end{pmatrix},,, , ,,, mathbf{F}= begin{pmatrix}
rho cdot u \
rho cdot u^2 + p \
rho cdot (E+p) \
rho cdot u cdot w_j end{pmatrix}
end{equation}

With total energy, $E$ is given as below.

begin{equation} label{E}
begin{split}
E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
end{split}
end{equation}

The source term, $textbf{S}$ is divided into two different sub-source
terms.

begin{equation} label{S}
mathbf{S(U)}= mathbf{S_A(F(U))} + mathbf{S_R(U)}
end{equation}

$mathbf{S_A}$ is the source term caused by axial changes in the pipe cross
section.

begin{equation} label{Sa}
mathbf{S_A(F(U))}= - frac{1}{A} cdot frac{dA}{dx} cdot left(F +
begin{pmatrix}
0 \
-p \
0 \
0
end{pmatrix} right)
end{equation}

$mathbf{S_R}$ is the source term taking into account homogeneous chemical
reaction, friction, heat and mass transfer between gas and solid phase.

begin{equation} label{Sr}
mathbf{S_R(F(U))}= begin{pmatrix}
0 \
-frac{F_R}{V} \
frac{q_w}{V} \
M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
dot{r_i}right)end{pmatrix}
end{equation}

bibliography{reference}
end{document}


enter image description here










share|improve this question


















  • 1





    Welcome to TeX-SE! Why do you have empty lines before and after the equation environments?

    – marmot
    Mar 31 at 4:56











  • That's university format. I need certain spacing before and after equation. I am using the format that university made. The problem is that spacing is not consistent as I mention.

    – Je Young Kim
    Mar 31 at 5:13






  • 1





    I see. But then the appropriate way of increasing the padding is not to add empty lines, but tex.stackexchange.com/a/69665/121799.

    – marmot
    Mar 31 at 5:15














0












0








0








I have some problems in spacing.
I just want to put equations in the text.
What I found is that the vertical spacing between the equation and text is not consistent.
Some is large and some is small. Both spacings above and below equation are not consistent.
How do I get consistent spacing in the entire thesis?
I can adjust spacing using vspace{baselineskip}.
But I am not sure the spacing is exactly the same or not. It doesnt seems good solution.
Here is my code.



documentclass[twoside]{utmthesis}
%According to the new manual, should not mixed single-side with two-side
printing
usepackage{graphicx}
usepackage{url}
%usepackage[pages=some]{background}
usepackage{lipsum}
usepackage{pdflscape}
usepackage{verbatim}
usepackage{textcomp}
usepackage{mhchem}
usepackage{amsmath}
usepackage{listings}
usepackage{graphicx}
usepackage{mwe}
usepackage{xr}
usepackage{siunitx}
usepackage{float}
usepackage{subfig}
newsavebox{bigleftbox}
usepackage{tikz}
usepackage{nameref}
%usepackage[printonlyused]{acronym}
usepackage{romannum}
usetikzlibrary{shapes.geometric, arrows}
usepackage{natbib}
letcitecitep
bibliographystyle{utmthesis-authordate}

begin{document}
subsection{1D numerical modeling of the SI-engine}
vspace{baselineskip}
The numerical models and related equations applied in the 1D engine
simulation are presented and briefly discussed.
subsubsection{Pipe}
vspace{baselineskip}
In one-dimension modeling of flow through the pipes, working fluid is
assumed that it is flowing in one-direction, instead of three direction (X,
Y, and Z). It seems plausible, as most fluid particles are moving mostly in
longitudinal direction rather than radial direction of the pipe. A one-
dimensional pipe flow is described by Euler equation which is given in
conservation form below.

begin{equation} label{Euler}
frac{partial mathbf{U}}{partial t} + frac{partial mathbf{F(U)}}
{partial x}= mathbf{S(U)}
end{equation}

$textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
respectively which are represented as follows.

begin{equation}
mathbf{U}= begin{pmatrix}
rho \
rho cdot u \
rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
rho cdot w_j end{pmatrix},,, , ,,, mathbf{F}= begin{pmatrix}
rho cdot u \
rho cdot u^2 + p \
rho cdot (E+p) \
rho cdot u cdot w_j end{pmatrix}
end{equation}

With total energy, $E$ is given as below.

begin{equation} label{E}
begin{split}
E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
end{split}
end{equation}

The source term, $textbf{S}$ is divided into two different sub-source
terms.

begin{equation} label{S}
mathbf{S(U)}= mathbf{S_A(F(U))} + mathbf{S_R(U)}
end{equation}

$mathbf{S_A}$ is the source term caused by axial changes in the pipe cross
section.

begin{equation} label{Sa}
mathbf{S_A(F(U))}= - frac{1}{A} cdot frac{dA}{dx} cdot left(F +
begin{pmatrix}
0 \
-p \
0 \
0
end{pmatrix} right)
end{equation}

$mathbf{S_R}$ is the source term taking into account homogeneous chemical
reaction, friction, heat and mass transfer between gas and solid phase.

begin{equation} label{Sr}
mathbf{S_R(F(U))}= begin{pmatrix}
0 \
-frac{F_R}{V} \
frac{q_w}{V} \
M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
dot{r_i}right)end{pmatrix}
end{equation}

bibliography{reference}
end{document}


enter image description here










share|improve this question














I have some problems in spacing.
I just want to put equations in the text.
What I found is that the vertical spacing between the equation and text is not consistent.
Some is large and some is small. Both spacings above and below equation are not consistent.
How do I get consistent spacing in the entire thesis?
I can adjust spacing using vspace{baselineskip}.
But I am not sure the spacing is exactly the same or not. It doesnt seems good solution.
Here is my code.



documentclass[twoside]{utmthesis}
%According to the new manual, should not mixed single-side with two-side
printing
usepackage{graphicx}
usepackage{url}
%usepackage[pages=some]{background}
usepackage{lipsum}
usepackage{pdflscape}
usepackage{verbatim}
usepackage{textcomp}
usepackage{mhchem}
usepackage{amsmath}
usepackage{listings}
usepackage{graphicx}
usepackage{mwe}
usepackage{xr}
usepackage{siunitx}
usepackage{float}
usepackage{subfig}
newsavebox{bigleftbox}
usepackage{tikz}
usepackage{nameref}
%usepackage[printonlyused]{acronym}
usepackage{romannum}
usetikzlibrary{shapes.geometric, arrows}
usepackage{natbib}
letcitecitep
bibliographystyle{utmthesis-authordate}

begin{document}
subsection{1D numerical modeling of the SI-engine}
vspace{baselineskip}
The numerical models and related equations applied in the 1D engine
simulation are presented and briefly discussed.
subsubsection{Pipe}
vspace{baselineskip}
In one-dimension modeling of flow through the pipes, working fluid is
assumed that it is flowing in one-direction, instead of three direction (X,
Y, and Z). It seems plausible, as most fluid particles are moving mostly in
longitudinal direction rather than radial direction of the pipe. A one-
dimensional pipe flow is described by Euler equation which is given in
conservation form below.

begin{equation} label{Euler}
frac{partial mathbf{U}}{partial t} + frac{partial mathbf{F(U)}}
{partial x}= mathbf{S(U)}
end{equation}

$textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
respectively which are represented as follows.

begin{equation}
mathbf{U}= begin{pmatrix}
rho \
rho cdot u \
rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
rho cdot w_j end{pmatrix},,, , ,,, mathbf{F}= begin{pmatrix}
rho cdot u \
rho cdot u^2 + p \
rho cdot (E+p) \
rho cdot u cdot w_j end{pmatrix}
end{equation}

With total energy, $E$ is given as below.

begin{equation} label{E}
begin{split}
E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
end{split}
end{equation}

The source term, $textbf{S}$ is divided into two different sub-source
terms.

begin{equation} label{S}
mathbf{S(U)}= mathbf{S_A(F(U))} + mathbf{S_R(U)}
end{equation}

$mathbf{S_A}$ is the source term caused by axial changes in the pipe cross
section.

begin{equation} label{Sa}
mathbf{S_A(F(U))}= - frac{1}{A} cdot frac{dA}{dx} cdot left(F +
begin{pmatrix}
0 \
-p \
0 \
0
end{pmatrix} right)
end{equation}

$mathbf{S_R}$ is the source term taking into account homogeneous chemical
reaction, friction, heat and mass transfer between gas and solid phase.

begin{equation} label{Sr}
mathbf{S_R(F(U))}= begin{pmatrix}
0 \
-frac{F_R}{V} \
frac{q_w}{V} \
M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
dot{r_i}right)end{pmatrix}
end{equation}

bibliography{reference}
end{document}


enter image description here







spacing equations amsmath






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Mar 31 at 4:47









Je Young KimJe Young Kim

83




83








  • 1





    Welcome to TeX-SE! Why do you have empty lines before and after the equation environments?

    – marmot
    Mar 31 at 4:56











  • That's university format. I need certain spacing before and after equation. I am using the format that university made. The problem is that spacing is not consistent as I mention.

    – Je Young Kim
    Mar 31 at 5:13






  • 1





    I see. But then the appropriate way of increasing the padding is not to add empty lines, but tex.stackexchange.com/a/69665/121799.

    – marmot
    Mar 31 at 5:15














  • 1





    Welcome to TeX-SE! Why do you have empty lines before and after the equation environments?

    – marmot
    Mar 31 at 4:56











  • That's university format. I need certain spacing before and after equation. I am using the format that university made. The problem is that spacing is not consistent as I mention.

    – Je Young Kim
    Mar 31 at 5:13






  • 1





    I see. But then the appropriate way of increasing the padding is not to add empty lines, but tex.stackexchange.com/a/69665/121799.

    – marmot
    Mar 31 at 5:15








1




1





Welcome to TeX-SE! Why do you have empty lines before and after the equation environments?

– marmot
Mar 31 at 4:56





Welcome to TeX-SE! Why do you have empty lines before and after the equation environments?

– marmot
Mar 31 at 4:56













That's university format. I need certain spacing before and after equation. I am using the format that university made. The problem is that spacing is not consistent as I mention.

– Je Young Kim
Mar 31 at 5:13





That's university format. I need certain spacing before and after equation. I am using the format that university made. The problem is that spacing is not consistent as I mention.

– Je Young Kim
Mar 31 at 5:13




1




1





I see. But then the appropriate way of increasing the padding is not to add empty lines, but tex.stackexchange.com/a/69665/121799.

– marmot
Mar 31 at 5:15





I see. But then the appropriate way of increasing the padding is not to add empty lines, but tex.stackexchange.com/a/69665/121799.

– marmot
Mar 31 at 5:15










1 Answer
1






active

oldest

votes


















0














In order to increase the space around equations, you can use this answer, which redefines abovedisplayskip and so on. (And in order to increase space after section titles, you use this answer.) Empty lines end paragraphs and should not be used to change the spacing around the equations. You effectively say latex to start a new paragraph, and that's why the result is not as you want it to be.



documentclass[twoside]{article}
usepackage{amsmath}
% from https://tex.stackexchange.com/a/69665/121799
expandafterdefexpandafternormalsizeexpandafter{%
normalsize
setlengthabovedisplayskip{4ex}
setlengthbelowdisplayskip{4ex}
setlengthabovedisplayshortskip{4ex}
setlengthbelowdisplayshortskip{4ex}
}
usepackage{titlesec}
% from https://tex.stackexchange.com/a/108747/121799
titlespacing*{section}
{0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
titlespacing*{subsection}
{0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
begin{document}

subsection{1D numerical modeling of the SI-engine}
The numerical models and related equations applied in the 1D engine
simulation are presented and briefly discussed.

subsubsection{Pipe}
In one-dimension modeling of flow through the pipes, working fluid is
assumed that it is flowing in one-direction, instead of three direction (X,
Y, and Z). It seems plausible, as most fluid particles are moving mostly in
longitudinal direction rather than radial direction of the pipe. A one-
dimensional pipe flow is described by Euler equation which is given in
conservation form below.
begin{equation} label{Euler}
frac{partial boldsymbol{U}}{partial t} + frac{partial boldsymbol{F(U)}}
{partial x}= boldsymbol{S(U)}
end{equation}
$textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
respectively which are represented as follows.
begin{equation}
boldsymbol{U}= begin{pmatrix}
rho \
rho cdot u \
rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
rho cdot w_j end{pmatrix};,quad boldsymbol{F}= begin{pmatrix}
rho cdot u \
rho cdot u^2 + p \
rho cdot (E+p) \
rho cdot u cdot w_j end{pmatrix}
end{equation}
With total energy, $E$ is given as below.
begin{equation} label{E}
begin{split}
E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
end{split}
end{equation}
The source term, $textbf{S}$ is divided into two different sub-source
terms.
begin{equation} label{S}
boldsymbol{S(U)}= boldsymbol{S_A(F(U))} + boldsymbol{S_R(U)}
end{equation}
$boldsymbol{S_A}$ is the source term caused by axial changes in the pipe cross
section.
begin{equation} label{Sa}
boldsymbol{S_A(F(U))}= - frac{1}{A} cdot frac{mathrm{d}A}{mathrm{d}x} cdot left(F +
begin{pmatrix}
0 \
-p \
0 \
0
end{pmatrix} right)
end{equation}
$boldsymbol{S_R}$ is the source term taking into account homogeneous chemical
reaction, friction, heat and mass transfer between gas and solid phase.
begin{equation} label{Sr}
boldsymbol{S_R(F(U))}= begin{pmatrix}
0 \
-frac{F_R}{V} \
frac{q_w}{V} \
M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
dot{r_i}right)end{pmatrix}
end{equation}

end{document}


enter image description here






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    1 Answer
    1






    active

    oldest

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    active

    oldest

    votes






    active

    oldest

    votes









    0














    In order to increase the space around equations, you can use this answer, which redefines abovedisplayskip and so on. (And in order to increase space after section titles, you use this answer.) Empty lines end paragraphs and should not be used to change the spacing around the equations. You effectively say latex to start a new paragraph, and that's why the result is not as you want it to be.



    documentclass[twoside]{article}
    usepackage{amsmath}
    % from https://tex.stackexchange.com/a/69665/121799
    expandafterdefexpandafternormalsizeexpandafter{%
    normalsize
    setlengthabovedisplayskip{4ex}
    setlengthbelowdisplayskip{4ex}
    setlengthabovedisplayshortskip{4ex}
    setlengthbelowdisplayshortskip{4ex}
    }
    usepackage{titlesec}
    % from https://tex.stackexchange.com/a/108747/121799
    titlespacing*{section}
    {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
    titlespacing*{subsection}
    {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
    begin{document}

    subsection{1D numerical modeling of the SI-engine}
    The numerical models and related equations applied in the 1D engine
    simulation are presented and briefly discussed.

    subsubsection{Pipe}
    In one-dimension modeling of flow through the pipes, working fluid is
    assumed that it is flowing in one-direction, instead of three direction (X,
    Y, and Z). It seems plausible, as most fluid particles are moving mostly in
    longitudinal direction rather than radial direction of the pipe. A one-
    dimensional pipe flow is described by Euler equation which is given in
    conservation form below.
    begin{equation} label{Euler}
    frac{partial boldsymbol{U}}{partial t} + frac{partial boldsymbol{F(U)}}
    {partial x}= boldsymbol{S(U)}
    end{equation}
    $textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
    respectively which are represented as follows.
    begin{equation}
    boldsymbol{U}= begin{pmatrix}
    rho \
    rho cdot u \
    rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
    rho cdot w_j end{pmatrix};,quad boldsymbol{F}= begin{pmatrix}
    rho cdot u \
    rho cdot u^2 + p \
    rho cdot (E+p) \
    rho cdot u cdot w_j end{pmatrix}
    end{equation}
    With total energy, $E$ is given as below.
    begin{equation} label{E}
    begin{split}
    E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
    end{split}
    end{equation}
    The source term, $textbf{S}$ is divided into two different sub-source
    terms.
    begin{equation} label{S}
    boldsymbol{S(U)}= boldsymbol{S_A(F(U))} + boldsymbol{S_R(U)}
    end{equation}
    $boldsymbol{S_A}$ is the source term caused by axial changes in the pipe cross
    section.
    begin{equation} label{Sa}
    boldsymbol{S_A(F(U))}= - frac{1}{A} cdot frac{mathrm{d}A}{mathrm{d}x} cdot left(F +
    begin{pmatrix}
    0 \
    -p \
    0 \
    0
    end{pmatrix} right)
    end{equation}
    $boldsymbol{S_R}$ is the source term taking into account homogeneous chemical
    reaction, friction, heat and mass transfer between gas and solid phase.
    begin{equation} label{Sr}
    boldsymbol{S_R(F(U))}= begin{pmatrix}
    0 \
    -frac{F_R}{V} \
    frac{q_w}{V} \
    M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
    dot{r_i}right)end{pmatrix}
    end{equation}

    end{document}


    enter image description here






    share|improve this answer




























      0














      In order to increase the space around equations, you can use this answer, which redefines abovedisplayskip and so on. (And in order to increase space after section titles, you use this answer.) Empty lines end paragraphs and should not be used to change the spacing around the equations. You effectively say latex to start a new paragraph, and that's why the result is not as you want it to be.



      documentclass[twoside]{article}
      usepackage{amsmath}
      % from https://tex.stackexchange.com/a/69665/121799
      expandafterdefexpandafternormalsizeexpandafter{%
      normalsize
      setlengthabovedisplayskip{4ex}
      setlengthbelowdisplayskip{4ex}
      setlengthabovedisplayshortskip{4ex}
      setlengthbelowdisplayshortskip{4ex}
      }
      usepackage{titlesec}
      % from https://tex.stackexchange.com/a/108747/121799
      titlespacing*{section}
      {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
      titlespacing*{subsection}
      {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
      begin{document}

      subsection{1D numerical modeling of the SI-engine}
      The numerical models and related equations applied in the 1D engine
      simulation are presented and briefly discussed.

      subsubsection{Pipe}
      In one-dimension modeling of flow through the pipes, working fluid is
      assumed that it is flowing in one-direction, instead of three direction (X,
      Y, and Z). It seems plausible, as most fluid particles are moving mostly in
      longitudinal direction rather than radial direction of the pipe. A one-
      dimensional pipe flow is described by Euler equation which is given in
      conservation form below.
      begin{equation} label{Euler}
      frac{partial boldsymbol{U}}{partial t} + frac{partial boldsymbol{F(U)}}
      {partial x}= boldsymbol{S(U)}
      end{equation}
      $textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
      respectively which are represented as follows.
      begin{equation}
      boldsymbol{U}= begin{pmatrix}
      rho \
      rho cdot u \
      rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
      rho cdot w_j end{pmatrix};,quad boldsymbol{F}= begin{pmatrix}
      rho cdot u \
      rho cdot u^2 + p \
      rho cdot (E+p) \
      rho cdot u cdot w_j end{pmatrix}
      end{equation}
      With total energy, $E$ is given as below.
      begin{equation} label{E}
      begin{split}
      E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
      end{split}
      end{equation}
      The source term, $textbf{S}$ is divided into two different sub-source
      terms.
      begin{equation} label{S}
      boldsymbol{S(U)}= boldsymbol{S_A(F(U))} + boldsymbol{S_R(U)}
      end{equation}
      $boldsymbol{S_A}$ is the source term caused by axial changes in the pipe cross
      section.
      begin{equation} label{Sa}
      boldsymbol{S_A(F(U))}= - frac{1}{A} cdot frac{mathrm{d}A}{mathrm{d}x} cdot left(F +
      begin{pmatrix}
      0 \
      -p \
      0 \
      0
      end{pmatrix} right)
      end{equation}
      $boldsymbol{S_R}$ is the source term taking into account homogeneous chemical
      reaction, friction, heat and mass transfer between gas and solid phase.
      begin{equation} label{Sr}
      boldsymbol{S_R(F(U))}= begin{pmatrix}
      0 \
      -frac{F_R}{V} \
      frac{q_w}{V} \
      M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
      dot{r_i}right)end{pmatrix}
      end{equation}

      end{document}


      enter image description here






      share|improve this answer


























        0












        0








        0







        In order to increase the space around equations, you can use this answer, which redefines abovedisplayskip and so on. (And in order to increase space after section titles, you use this answer.) Empty lines end paragraphs and should not be used to change the spacing around the equations. You effectively say latex to start a new paragraph, and that's why the result is not as you want it to be.



        documentclass[twoside]{article}
        usepackage{amsmath}
        % from https://tex.stackexchange.com/a/69665/121799
        expandafterdefexpandafternormalsizeexpandafter{%
        normalsize
        setlengthabovedisplayskip{4ex}
        setlengthbelowdisplayskip{4ex}
        setlengthabovedisplayshortskip{4ex}
        setlengthbelowdisplayshortskip{4ex}
        }
        usepackage{titlesec}
        % from https://tex.stackexchange.com/a/108747/121799
        titlespacing*{section}
        {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
        titlespacing*{subsection}
        {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
        begin{document}

        subsection{1D numerical modeling of the SI-engine}
        The numerical models and related equations applied in the 1D engine
        simulation are presented and briefly discussed.

        subsubsection{Pipe}
        In one-dimension modeling of flow through the pipes, working fluid is
        assumed that it is flowing in one-direction, instead of three direction (X,
        Y, and Z). It seems plausible, as most fluid particles are moving mostly in
        longitudinal direction rather than radial direction of the pipe. A one-
        dimensional pipe flow is described by Euler equation which is given in
        conservation form below.
        begin{equation} label{Euler}
        frac{partial boldsymbol{U}}{partial t} + frac{partial boldsymbol{F(U)}}
        {partial x}= boldsymbol{S(U)}
        end{equation}
        $textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
        respectively which are represented as follows.
        begin{equation}
        boldsymbol{U}= begin{pmatrix}
        rho \
        rho cdot u \
        rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
        rho cdot w_j end{pmatrix};,quad boldsymbol{F}= begin{pmatrix}
        rho cdot u \
        rho cdot u^2 + p \
        rho cdot (E+p) \
        rho cdot u cdot w_j end{pmatrix}
        end{equation}
        With total energy, $E$ is given as below.
        begin{equation} label{E}
        begin{split}
        E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
        end{split}
        end{equation}
        The source term, $textbf{S}$ is divided into two different sub-source
        terms.
        begin{equation} label{S}
        boldsymbol{S(U)}= boldsymbol{S_A(F(U))} + boldsymbol{S_R(U)}
        end{equation}
        $boldsymbol{S_A}$ is the source term caused by axial changes in the pipe cross
        section.
        begin{equation} label{Sa}
        boldsymbol{S_A(F(U))}= - frac{1}{A} cdot frac{mathrm{d}A}{mathrm{d}x} cdot left(F +
        begin{pmatrix}
        0 \
        -p \
        0 \
        0
        end{pmatrix} right)
        end{equation}
        $boldsymbol{S_R}$ is the source term taking into account homogeneous chemical
        reaction, friction, heat and mass transfer between gas and solid phase.
        begin{equation} label{Sr}
        boldsymbol{S_R(F(U))}= begin{pmatrix}
        0 \
        -frac{F_R}{V} \
        frac{q_w}{V} \
        M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
        dot{r_i}right)end{pmatrix}
        end{equation}

        end{document}


        enter image description here






        share|improve this answer













        In order to increase the space around equations, you can use this answer, which redefines abovedisplayskip and so on. (And in order to increase space after section titles, you use this answer.) Empty lines end paragraphs and should not be used to change the spacing around the equations. You effectively say latex to start a new paragraph, and that's why the result is not as you want it to be.



        documentclass[twoside]{article}
        usepackage{amsmath}
        % from https://tex.stackexchange.com/a/69665/121799
        expandafterdefexpandafternormalsizeexpandafter{%
        normalsize
        setlengthabovedisplayskip{4ex}
        setlengthbelowdisplayskip{4ex}
        setlengthabovedisplayshortskip{4ex}
        setlengthbelowdisplayshortskip{4ex}
        }
        usepackage{titlesec}
        % from https://tex.stackexchange.com/a/108747/121799
        titlespacing*{section}
        {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
        titlespacing*{subsection}
        {0pt}{3.5ex plus 1ex minus .2ex}{5.3ex plus .2ex}
        begin{document}

        subsection{1D numerical modeling of the SI-engine}
        The numerical models and related equations applied in the 1D engine
        simulation are presented and briefly discussed.

        subsubsection{Pipe}
        In one-dimension modeling of flow through the pipes, working fluid is
        assumed that it is flowing in one-direction, instead of three direction (X,
        Y, and Z). It seems plausible, as most fluid particles are moving mostly in
        longitudinal direction rather than radial direction of the pipe. A one-
        dimensional pipe flow is described by Euler equation which is given in
        conservation form below.
        begin{equation} label{Euler}
        frac{partial boldsymbol{U}}{partial t} + frac{partial boldsymbol{F(U)}}
        {partial x}= boldsymbol{S(U)}
        end{equation}
        $textbf{U}$ and $textbf{F}$ represent state vector and flux vector,
        respectively which are represented as follows.
        begin{equation}
        boldsymbol{U}= begin{pmatrix}
        rho \
        rho cdot u \
        rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2 \
        rho cdot w_j end{pmatrix};,quad boldsymbol{F}= begin{pmatrix}
        rho cdot u \
        rho cdot u^2 + p \
        rho cdot (E+p) \
        rho cdot u cdot w_j end{pmatrix}
        end{equation}
        With total energy, $E$ is given as below.
        begin{equation} label{E}
        begin{split}
        E=rho cdot bar{C_v} cdot T + frac{1}{2} cdot rho cdot u^2
        end{split}
        end{equation}
        The source term, $textbf{S}$ is divided into two different sub-source
        terms.
        begin{equation} label{S}
        boldsymbol{S(U)}= boldsymbol{S_A(F(U))} + boldsymbol{S_R(U)}
        end{equation}
        $boldsymbol{S_A}$ is the source term caused by axial changes in the pipe cross
        section.
        begin{equation} label{Sa}
        boldsymbol{S_A(F(U))}= - frac{1}{A} cdot frac{mathrm{d}A}{mathrm{d}x} cdot left(F +
        begin{pmatrix}
        0 \
        -p \
        0 \
        0
        end{pmatrix} right)
        end{equation}
        $boldsymbol{S_R}$ is the source term taking into account homogeneous chemical
        reaction, friction, heat and mass transfer between gas and solid phase.
        begin{equation} label{Sr}
        boldsymbol{S_R(F(U))}= begin{pmatrix}
        0 \
        -frac{F_R}{V} \
        frac{q_w}{V} \
        M W_j cdot left(sumlimits_{i}^{R_{hom}} nu_{i.j} cdot
        dot{r_i}right)end{pmatrix}
        end{equation}

        end{document}


        enter image description here







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Mar 31 at 5:27









        marmotmarmot

        116k5149280




        116k5149280






























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