Progress in Computational Fluid Dynamics, Vol. 17, No. 5, 2017 281
Lattice Boltzmann simulations of coalescence of two
droplets on a rectangular channel wall considering
wetting effects
Saurabh Bhardwaj
Department of Mechanical Engineering,
Indian Institute of Technology Guwahati,
Guwahati-781039, India
Email: saurabh.2014@iitg.ernet.in
Pitambar Randive
Department of Mechanical Engineering,
National Institute of Technology Silchar,
Silchar (Assam)-788010, India
Email: kp691975@gmail.com
Amaresh Dalal*
Department of Mechanical Engineering,
Indian Institute of Technology Guwahati,
Guwahati-781039, India
Email: amaresh@iitg.ernet.in
*Corresponding author
Abstract: The present work numerically analyses the interfacial dynamics of coalescence of
two droplets on a rectangular channel wall considering wetting effects. The two-phase lattice
Boltzmann Shan-Chen model has been incorporated to explore the physics of coalescence of
two droplets on channel wall. The main focus of the study is to analyse the time taken by
the two droplets to initiate merging into a single droplet and the displacement of immiscible
droplets subjected to gravitational forces. The impact of the centre distance between the two
droplets (i.e., C
d
= 47–55 lu) and capillary number (i.e., Ca = 0.35, 0.50 and 0.81) on droplet
dynamics have been examined. The investigation revealed that the two droplets do not merge
completely into a single spherical droplet in mixed wettability case but stretched at the junction
of hydrophilic and hydrophobic region. It is further revealed that the two droplets coalesce
faster on mixed wettable surface compared to uniform hydrophilic surface at a fixed capillary
number.
Keywords: immiscible fluids; wettability; capillary number; droplet dynamics; coalescence.
Reference to this paper should be made as follows: Bhardwaj, S., Randive, P. and Dalal, A.
(2017) ‘Lattice Boltzmann simulations of coalescence of two droplets on a rectangular channel
wall considering wetting effects’, Progress in Computational Fluid Dynamics, Vol. 17, No. 5,
pp.281–289.
Biographical notes: Saurabh Bhardwaj is currently pursuing his PhD in Mechanical Engineering
at Indian Institute of Technology Guwahati. He received his Masters in Fluid and Thermal
Engineering from IIT Guwahati in 2013. His research interests include computational fluid
dynamics and heat transfer, natural convection flows inside porous and non-porous enclosures
with or without nano-fluids and lattice Boltzmann methods in multiphase-multicomponent flows.
Pitambar Randive is currently an Assistant Professor in the Department of Mechanical
Engineering, National Institute of Technology Silchar, India. He received his Masters degree in
Heat Power Engineering from NIT Nagpur, India in 2001 and PhD from IIT Guwahati in 2014.
His research interests include mesoscopic modelling of multiphase flows and natural convection
heat transfer.
Amaresh Dalal is currently an Associate Professor in the Department of Mechanical Engineering,
Indian Institute of Technology Guwahati, India. He received his Masters degree in Fluid and
Thermal Engineering from IIT Guwahati in 2003 and PhD from IIT Kanpur in 2009. He
was also post-doctoral research associate at Purdue University from 2008–2009. His research
interests are computational fluid dynamics and heat transfer, structured grid techniques in
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