\documentclass[10pt]{article}

\usepackage{fullpage}
\usepackage{setspace}
\usepackage{parskip}
\usepackage{titlesec}
\usepackage[section]{placeins}
\usepackage{xcolor}
\usepackage{breakcites}
\usepackage{lineno}
\usepackage{hyphenat}





\PassOptionsToPackage{hyphens}{url}
\usepackage[colorlinks = true,
            linkcolor = blue,
            urlcolor  = blue,
            citecolor = blue,
            anchorcolor = blue]{hyperref}
\usepackage{etoolbox}
\makeatletter
\patchcmd\@combinedblfloats{\box\@outputbox}{\unvbox\@outputbox}{}{%
  \errmessage{\noexpand\@combinedblfloats could not be patched}%
}%
\makeatother


\usepackage{natbib}




\renewenvironment{abstract}
  {{\bfseries\noindent{\abstractname}\par\nobreak}\footnotesize}
  {\bigskip}

\titlespacing{\section}{0pt}{*3}{*1}
\titlespacing{\subsection}{0pt}{*2}{*0.5}
\titlespacing{\subsubsection}{0pt}{*1.5}{0pt}


\usepackage{authblk}


\usepackage{graphicx}
\usepackage[space]{grffile}
\usepackage{latexsym}
\usepackage{textcomp}
\usepackage{longtable}
\usepackage{tabulary}
\usepackage{booktabs,array,multirow}
\usepackage{amsfonts,amsmath,amssymb}
\providecommand\citet{\cite}
\providecommand\citep{\cite}
\providecommand\citealt{\cite}
% You can conditionalize code for latexml or normal latex using this.
\newif\iflatexml\latexmlfalse
\providecommand{\tightlist}{\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}%

\AtBeginDocument{\DeclareGraphicsExtensions{.pdf,.PDF,.eps,.EPS,.png,.PNG,.tif,.TIF,.jpg,.JPG,.jpeg,.JPEG}}

\usepackage[utf8]{inputenc}
\usepackage[english]{babel}



\usepackage{float}








\begin{document}

\title{Hydrodynamics and liquid-liquid mass transfer in gas-liquid-liquid
three-phase flow in a cross microchannel}



\author[1]{Jingwei Zhang}%
\author[1]{YiWei Zhou}%
\author[1]{zhuo chen}%
\author[2]{jianhong Xu}%
\affil[1]{Affiliation not available}%
\affil[2]{the State Key Lab of Chemical Engineering}%


\vspace{-1em}



  
  \date{May 21, 2024}


\begingroup
\let\center\flushleft
\let\endcenter\endflushleft
\maketitle
\endgroup





\selectlanguage{english}
\begin{abstract}
Gas-liquid-liquid three-phase flow in cross microchannels has been
widely used in flow chemistry and process intensification. At present,
the flow and mass transfer characteristics in this microchannel are not
well understood. In this work, the hydrodynamics and liquid-liquid mass
transfer characteristics of gas-liquid-liquid three-phase flow were
systematically investigated. For the gas-liquid-liquid hydrodynamics,
the bubble/droplet size prediction model based on the multiphase
cooperative behavior was proposed, which could be used in predicting
droplet/bubble size in flow systems. For the gas-liquid-liquid mass
transfer process, the semi-empirical prediction formula of the mass
transfer coefficient was obtained by considering the vortex strength,
the interfacial area and the effective mass transfer area. This work
could be the comprehensive study of gas-liquid-liquid three-phase flow
and liquid-liquid mass transfer under gas enhancement in the cross
microchannel.%
\end{abstract}%



\sloppy


\textbf{Hosted file}

\verb`Hydrodynamics and liquid-liquid mass transfer in gas-liquid-liquid three-phase flow in a cross microchannel.doc`  available at \url{https://authorea.com/users/425886/articles/593777-hydrodynamics-and-liquid-liquid-mass-transfer-in-gas-liquid-liquid-three-phase-flow-in-a-cross-microchannel}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig1/Fig1}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig2/Fig2}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig3/Fig3}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig4/Fig4}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig5/Fig5}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig6/Fig6}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig7/Fig7}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig8/Fig8}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig9/Fig9}

\end{center}
\end{figure}\selectlanguage{english}
\begin{figure}[H]
\begin{center}
\includegraphics[width=0.70\columnwidth]{figures/Fig10/Fig10}

\end{center}
\end{figure}

\textbf{Hosted file}

\verb`Table 1.docx`  available at \url{https://authorea.com/users/425886/articles/593777-hydrodynamics-and-liquid-liquid-mass-transfer-in-gas-liquid-liquid-three-phase-flow-in-a-cross-microchannel}

\textbf{Hosted file}

\verb`Table 2.docx`  available at \url{https://authorea.com/users/425886/articles/593777-hydrodynamics-and-liquid-liquid-mass-transfer-in-gas-liquid-liquid-three-phase-flow-in-a-cross-microchannel}

\textbf{Hosted file}

\verb`Table 3.docx`  available at \url{https://authorea.com/users/425886/articles/593777-hydrodynamics-and-liquid-liquid-mass-transfer-in-gas-liquid-liquid-three-phase-flow-in-a-cross-microchannel}

\textbf{Hosted file}

\verb`Table 4.docx`  available at \url{https://authorea.com/users/425886/articles/593777-hydrodynamics-and-liquid-liquid-mass-transfer-in-gas-liquid-liquid-three-phase-flow-in-a-cross-microchannel}

\selectlanguage{english}
\FloatBarrier
\end{document}

