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\DOI{10.5802/crmeca.382}
\datereceived{2026-07-31}
\daterevised{2026-08-16}
\dateaccepted{2026-08-18}
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\section*{Declaration of interests}
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\begin{document}

\begin{noXML}

\CDRsetmeta{articletype}{erratum}


\Relation[corrige]{10.5802/crmeca.347}


\title{Erratum to: ``Hydrodynamic lubrication study of plain journal
bearings lubricated with couple stress fluids: surface texture
effects''
[\textit{C. R. M\'{e}c.} \textbf{354} (2026), pp. 71--87, doi:
\href{https://doi.org/10.5802/crmeca.347}{10.5802/crmeca.347}]}

\alttitle{Erratum pour :``\'{E}tude de la lubrification hydrodynamique
des paliers lisses lubrifi\'{e}e \`{a} l'aide de fluide \`{a} couple de
contrainte : effets de texturation des surfaces''
[\textit{C. R. M\'{e}c.} \textbf{354} (2026), pp. 71--87, doi:
\href{https://doi.org/10.5802/crmeca.347}{10.5802/crmeca.347}]}

\author{\firstname{Atika} \lastname{Kabouya}\CDRorcid{0009-0008-0648-636X}\IsCorresp}
\address{Electro Mechanics Department, Electromechanical Systems Laboratory, 
Faculty of Technology, University Badji Mokhtar, 12, PO Box, Annaba, 23000, Algeria}
\email[A. Kabouya]{atika.kabouya@univ-annaba.dz}

\author{\firstname{Ali} \lastname{Belhamra}\CDRorcid{0009-0008-6050-0927}}
\addressSameAs{1}{Electro Mechanics Department, Electromechanical Systems Laboratory, 
Faculty of Technology, University Badji Mokhtar, 12, PO Box, Annaba, 23000, Algeria}
\email[A. Belhamra]{belhamraali@yahoo.fr}

\begin{abstract}
Errors  and inconsistencies were identified in the references,
numerical implementation, and  formulation  of our recently published
article. These issues concern the dimensionless definition of the
texture amplitude, the Sommerfeld number reported in Table 1,
and the geometric parameter notation.  Consequently, all numerical
simulations presented in the original article were recalculated using
the corrected implementation.  The corresponding graphical results and
interpretations were systematically reevaluated.
\end{abstract}

\begin{altabstract}
Des erreurs et des incoh\'{e}rences ont \'{e}t\'{e} identifi\'{e}es
dans les r\'{e}f\'{e}rences, l'impl\'{e}mentation num\'{e}rique et la
formulation de notre article r\'{e}cemment publi\'{e}. Ces
probl\`{e}mes concernent notamment la d\'{e}finition adimensionnelle de
l'amplitude des textures, le nombre de Sommerfeld indiqu\'{e} dans le
Tableau 1 ainsi que la notation du param\`{e}tre g\'{e}om\'{e}trique.
En cons\'{e}quence, l'ensemble des simulations num\'{e}riques
pr\'{e}sent\'{e}es dans l'article original ont \'{e}t\'{e}
recalcul\'{e}es \`{a} l'aide de l'impl\'{e}mentation corrig\'{e}e. Les
r\'{e}sultats graphiques correspondants ainsi que leurs
interpr\'{e}tations ont \'{e}galement \'{e}t\'{e} syst\'{e}matiquement
r\'{e}\'{e}valu\'{e}s.
\end{altabstract}

\keywords{\kwd{Hydrodynamic lubrication}
\kwd{Hydrodynamic bearing}
\kwd{Couple stress fluid}
\kwd{Non-Newtonian fluid}
\kwd{Surface texture}}

\altkeywords{\kwd{Lubrification hydrodynamique}
\kwd{Palier hydrodynamique}
\kwd{Fluide \`{a} couples de contraintes}
\kwd{Fluide non newtonien}
\kwd{Texturation de surface}}

\maketitle

\end{noXML}

\section{Lubricant film profile}\label{sec1}
The lubricating film profile (Figure~\ref{fig2}) did not reproduce the
geometry defined by the theoretical formulation due to an error in the
summation of the Fourier series terms. The corrected version of 
Figure~\ref{fig2} is provided below and replaces the corresponding 
figure in the original article.          

\setcounter{figure}{1}

\begin{figure}
\includegraphics{fig02}
\caption{\label{fig2}Lubricant film profile obtained for different
values of asperity amplitude.}
\end{figure}

\section{Correction of the geometric parameter}\label{sec2}
The geometric ratio $(R/L=0.5)$ should be replaced by the conventional
$(L/D=1)$ ratio throughout the manuscript.

\section{Validation}\label{sec3}
A numerical error was identified in Table~\ref{tab1} of the original
article concerning the Sommerfeld number. For $\varepsilon=0.0962$, the
value was incorrectly reported as 1.03540 instead of the correct value
of 1.3540. The corrected Table~\ref{tab1} is presented below and
replaces the corresponding table in the original article.

\begin{table}
\caption{\label{tab1}Comparison of theoretical results obtained for a
journal bearing of finite length $(L/D=1)$}
\begin{tabular}{ccccc}
\tbody
$\tilde{\varepsilon}$ & \00.0962\0 & \00.5374 & 
\00.8349 &  \\
$S$ & \01.3540\0 & \00.1549 & \00.0345 & Reference results \\ 
 & \01.35970 & \00.1555 & \00.0352 & Present work
\vspace*{4pt}\\
$\phi$ (deg.) & 84.03\0\0\0 & 56.07\0\0 & 33.03\0\0 & Reference results \\
 & 84.09\0\0\0 & 56.18\0\0 & 33.52\0\0 & Present work
\botline
\end{tabular}
\end{table}

Following the correction of the Sommerfeld number in Table~\ref{tab1},
good agreement is obtained between the present results and the
reference data of Constantinescu V. N. et~al.\ at low eccentricity.
Consequently, the previous interpretation of the reported deviation is
no longer applicable.

\section{Texture amplitude}\label{sec4}
The texture amplitude was incorrectly dimensionless in the
calculation code using the minimum lubricant film thickness
$(h_{\mathrm{min}}=C (1-\varepsilon))$ instead of the radial clearance 
$(C)$.  This implementation error introduced a multiplicative factor 
$(1-\varepsilon)$, which varies from 0.1 to 0.9 depending on the
eccentricity ratio.

The correction consists of replacing, in the computational code, the
erroneous definition $(\tilde{a}_p=a_p/h_{\mathrm{min}})$ with the
correct definition  $(\tilde{a}p=ap/C)$,  as defined in the original
theoretical formulation. Thus, the amplitude of the texture is
independent of the eccentricity ratio  $\varepsilon$.

Consequently, the texture amplitudes reported in the original article
(0.10, 0.20, 0.30, and 0.35) are replaced by the corrected values
(0.01, 0.02, 0.03, and 0.035), respectively. These values correspond to
the real texture amplitudes generated by the original implementation at
the most severe operating condition,  $\varepsilon=0.9$, for which the
erroneous factor $(1-\varepsilon) = 0.1$ was introduced.

All numerical results have been recalculated using the corrected
implementation.

The figures presented in this erratum replace the corresponding figures
published in the original article.

\begin{figure}
\includegraphics{fig03}
\caption{\label{fig3}Circumferential static pressure in journal bearing
for different value of  $\tilde{a}_p$ and $\tilde{l}$.}
\end{figure}

\begin{figure}
\includegraphics{fig04}
\caption{\label{fig4}Circumferential static pressure in journal bearing
for different value of  $n_p$ and $\tilde{l}$.}
\end{figure}

\begin{figure}
\includegraphics{fig05}
\caption{\label{fig5}Dimensionless static characteristics for various
values of  $\tilde{a}_p$ and $\tilde{l}$.}
\end{figure}

The recalculated results show that the lubricant rheology has no
significant effect on the side leakage flow (Figure~\ref{fig5}d),
except at high relative eccentricity ratios, particularly for larger
texture amplitudes, where its influence becomes slightly more
pronounced. Furthermore, an increase in the texture amplitude results
in a higher side leakage flow,  which promotes an adequate lubricant
supply to the contact region and  helps maintain a stable and
continuous lubricating film.

For the other quantities investigated, such as: pressure, load-carrying
capacity, friction factor, and attitude angle, the implemented
corrections affect only the quantitative values, while the qualitative
trends remain unchanged. 

Consequently, the interpretation of the side leakage flow results has
been revised, whereas the physical interpretations and main conclusions
associated with the other investigated quantities remain unchanged.

\section*{Acknowledgement}
The authors thank Professor Michel Fillon for his valuable comments. 

\nocite{1,2,3,4,5,6,7,8,9,10,11}

\section*{Reference}

Reference~\cite{11} corresponds in fact to reference~\cite{3} (Vencl et~al.),
which resulted in a shift in the numbering of references up to~\cite{11}.

\back{}

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\refinput{crmeca20260524-reference.tex}

\end{document}