Abhishek Banerjee

@srmist.edu.in

Assistant Professor in Mathematics
SRM Institute of Science and Technology

Abhishek Banerjee


                  Download Compact PDF  
https://researchid.co/abhishek123

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Applied Mathematics, Computational Mathematics, Numerical Analysis
15

Scopus Publications

241

Scholar Citations

9

Scholar h-index

9

Scholar i10-index

Scopus Publications

  • Efficient electrokinetic non-Newtonian flow mixing in a patterned micro-tube
    Abhishek Banerjee, Sumana Ghosh, Bernhard Weigand
    Physics of Fluids, 2025
    This paper presents a numerical investigation of the micro-mixing behavior of a non-Newtonian fluid passing through a micro-tube with periodic zeta potential and sinusoidal wall roughness. A finite volume approach is utilized to numerically predict the flow field of two miscible aqueous electrolytes, which are described by a power-law model. To explore the pressure drop and mixing efficiency for a wide range of wave amplitude (δ), the Debye-H ü ckel parameter (κa), and the flow behavior index (n), simulations based on the Poisson-Nernst-Planck model are conducted. The presence of a sinusoidal charged surface is expected to increase the interfacial contact area between the two streams. With an increase in wall corrugation, the Debye length (λ), and the flow behavior index, a significant improvement in mixing efficiency is expected. Simulation results predict that the value of mixing efficiency rises up to 95% for δ=0.5, κa=10, and n=1.6. Moreover, for a thinner EDL, the mixing efficiency is predicted to reduce by 31% for a change in κa from 10 to 40 with n=1.5 and δ=0.5. It is also stated that increasing n, κa, and δ can result in a larger pressure drop in addition to forecasting a higher mixing. In order to create an effective and efficient micro-mixer that can forecast the highest possible mixing efficiency with a moderate pressure drop, a parametric study is conducted to predict and analyze the mixing performance factor, the ratio of mixing efficiency, and the average pressure drop. The findings of the current study could be useful for the thorough design and analysis of a passive micro-mixer, which would enable the effective transport of polymeric and bio-fluids inside micro-devices.
  • Variational approach for Stokes flow through a two-dimensional non-uniform channel
    Abhishek Banerjee, Alexander Oron, Yehuda Agnon
    Scientific Reports, 2024
    A variational approach is proposed to study the Stokes flow in a two-dimensional non-uniform channel. By using the stationarity of the Lagrangian, the Euler-Lagrange equations are established which leads to a simple set of ordinary differential equations to provide an estimate for the average pressure drop explicitly in terms of the channel shape function. The results for the pressure drop show an excellent agreement with the second-order extended lubrication theory. A higher-order formulation further improves the accuracy of the results for the pressure drop along the channel.
  • Viscoplastic toroidal drop in compressional Stokes flow
    Abhishek Banerjee, Olga M. Lavrenteva, Irina Smagin, Avinoam Nir
    Physics of Fluids, 2021
    We report the dynamics of a viscoplastic (Bingham) torus suspended in an unbounded Newtonian medium. In this study, the immiscible ambient fluid is subjected to an axisymmetric compressional (biaxial-extensional) flow. Numerical simulations applying the boundary integral formulation to the Stokes flow are performed for the torus drop having initially a circular cross section. The quasi-stationary dynamic simulation reveals that depending on the initial conditions and the capillary number (Ca), the Bingham number (Bn), and the viscosity ratio (λ), three different scenarios of the drop evolution are obtained for a range of viscosity ratio and Bingham number: collapsing toward the axis of symmetry, expanding infinitely, and having a stationary toroidal shape.
  • Deformation of an axisymmetric viscoplastic drop in extensional/compressional flow
    Abhishek Banerjee, Olga M. Lavrenteva, Irina Smagin, Avinoam Nir
    Journal of Non Newtonian Fluid Mechanics, 2021
  • Enhanced Electro-Osmotic Flow of Power-Law Fluids in Hydrophilic Patterned Nanochannel
    M. Majhi, A. K. Nayak, A. Banerjee
    Journal of Fluids Engineering Transactions of the ASME, 2020
    In this paper, electro-osmotic flow (EOF) enhancement of non-Newtonian power-law fluids in a modulated nanochannel with polarized wall is proposed. The channel walls are embedded with periodically arranged rectangular grooves, placed vertically with the direction of electric field. The key aspect of the present study is to achieve enhanced EOF of power-law fluids due to periodic groove patterns. The flow characteristics are studied through Poisson–Nernst–Plank-based Navier–Stokes model associated with electrochemical boundary conditions. Some random-phase differences between the grooves in both the walls are allowed to find the best configuration for the EOF enhancement in case of both Pseudo-plastic fluid, Dilatant fluid, and compared to Newtonian fluid. A notable enhancement factor is observed when groove width is much larger than its depth along with overlapped EDL. It is also found that EOF enhancement for shear-thinning fluid is quite better than the other fluids, for the same set of physical parameters. A comparison of enhancement factor for power-law fluid is also presented when the grooves are replaced with hydrophobic strips. It is worth to mention here that the present study assumes no-slip condition which is true for wetting (hydrophilic) surface over nonwetting (hydrophobic) strips which is common occurrence in regards to nanoconfinements.
  • A Comparative Analysis of Mixing Performance of Power-Law Fluid in Cylindrical Microchannels with Sudden Contraction/Expansion
    A. Banerjee, A. K. Nayak, B. Weigand
    Journal of Fluids Engineering Transactions of the ASME, 2020
    This paper focuses on the comparative electrokinetic micromixing of non-Newtonian fluid in cylindrical microchannels with surface potential heterogeneity due to sudden constriction/expansion. In numerical simulations, the rheology of the aqueous solution is considered to follow power-law characteristic. Based on the Poisson–Nernst–Planck model, the simulations are performed to investigate the mixing efficiency and pressure drop for constricted and expanded configurations over a wide range of the flow behavior index, potential patch strength, and geometric parameters. The results show that, irrespective of geometric configurations, the mixing efficiency can be improved significantly by increasing the flow behavior index, geometric parameters, and the overpotential patch strength. In addition, it is also revealed that the constricted geometry yields better mixing as compared to the other configuration, but the average pressure drop shows reverse characteristics. Thus, a parametric relationship is tried to be established between mixing efficiency and pressure drop for both these configurations to propose an effective and efficient micromixer, which can produce maximum possible mixing efficiency with minimum pressure drop.
  • Time-Dependent Electroosmotic Flow with Variable Slips along Microchannel
    Ainul Haque, Ameeya Kumar Nayak, Bernhard Weigand, Abhishek Banerjee
    Industrial and Engineering Chemistry Research, 2020
    The micromixing effect due to hydrophobic slip effects along a microchannel is studied numerically. The flow enhancement and mixing are analyzed with different slips with the variation of the electric double layer (EDL) thickness and the solution strengths. Flow advection effects due to external electric fields are clearly observed along the flow direction. A parametric estimation is provided between solution strength and volume flow rate to obtain the effectiveness factor responsible for the flow dominance. Also, the overlapped EDL regions are considered to predict the flow nature and the induced pressure variation. The main aspect of this article is to analyze the mixing efficiency as a function of slip varying parameters with the electric field and molarity of the solution. A time scale analysis is made and an analytical estimation is achieved and compared with the existing experimental results at different time levels.
  • Influence of varying zeta potential on non-Newtonian flow mixing in a wavy patterned microchannel
    A. Banerjee, A.K. Nayak
    Journal of Non Newtonian Fluid Mechanics, 2019
  • Enhanced mixing and flow reversal in a modulated microchannel
    A. Banerjee, A.K. Nayak, B. Weigand
    International Journal of Mechanical Sciences, 2019
  • Induced mixing electrokinetics in a charged corrugated nano-channel: towards a controlled ionic transport
    A. Banerjee, A. K. Nayak, A. Haque, B. Weigand
    Microfluidics and Nanofluidics, 2018
  • Mixing and charge transfer in a nanofluidic system due to a patterned surface
    A.K. Nayak, A. Banerjee, B. Weigand
    Applied Mathematical Modelling, 2018
  • Electroosmotic flow separation in a corrugated micro-channel: A numerical study
    A. Banerjee, A. K. Nayak
    American Society of Mechanical Engineers Fluids Engineering Division Publication Fedsm, 2018
  • Thermosolutal mixed convection of a shear thinning fluid due to partially active mixed zones within a lid-driven cavity
    A.K. Nayak, A. Haque, A. Banerjee
    International Journal of Heat and Mass Transfer, 2017
  • Assessment and prediction of EOF mixing in binary electrolytes
    Abhishek Banerjee, Ameeya Kumar Nayak
    American Society of Mechanical Engineers Fluids Engineering Division Publication Fedsm, 2017
  • Flow mixing and electric potential effect of binary fluids in micro/nano channels
    A.K. Nayak, A. Haque, A. Banerjee, B. Weigand
    Colloids and Surfaces A Physicochemical and Engineering Aspects, 2017

RECENT SCHOLAR PUBLICATIONS

  • Efficient electrokinetic non-Newtonian flow mixing in a patterned micro-tube
    A Banerjee, S Ghosh, B Weigand
    Physics of Fluids 37 (3) , 2025
    2025.0
    Citations: 8
  • Variational approach for Stokes flow through a two-dimensional non-uniform channel
    A Banerjee, A Oron, Y Agnon
    Scientific Reports 14 (1), 15689 , 2024
    2024.0
  • Viscoplastic toroidal drop in compressional Stokes flow
    A Banerjee, OM Lavrenteva, I Smagin, A Nir
    Physics of Fluids 33 (7) , 2021
    2021.0
    Citations: 4
  • Deformation of an axisymmetric viscoplastic drop in extensional/compressional flow
    A Banerjee, OM Lavrenteva, I Smagin, A Nir
    Journal of Non-Newtonian Fluid Mechanics 292, 104534 , 2021
    2021.0
    Citations: 5
  • Enhanced electro-osmotic flow of power-law fluids in hydrophilic patterned nanochannel
    M Majhi, AK Nayak, A Banerjee
    Journal of Fluids Engineering 142 (10), 101201 , 2020
    2020.0
    Citations: 13
  • A comparative analysis of mixing performance of power-law fluid in cylindrical microchannels with sudden contraction/expansion
    A Banerjee, AK Nayak, B Weigand
    Journal of Fluids Engineering 142 (6), 061201 , 2020
    2020.0
    Citations: 20
  • Time-dependent electroosmotic flow with variable slips along microchannel
    A Haque, AK Nayak, B Weigand, A Banerjee
    Industrial & Engineering Chemistry Research 59 (2), 942-955 , 2019
    2019.0
    Citations: 15
  • Influence of varying zeta potential on non-Newtonian flow mixing in a wavy patterned microchannel
    A Banerjee, AK Nayak
    Journal of Non-Newtonian Fluid Mechanics 269, 17-27 , 2019
    2019.0
    Citations: 55
  • Enhanced mixing and flow reversal in a modulated microchannel
    A Banerjee, AK Nayak, B Weigand
    International Journal of Mechanical Sciences 155, 430-439 , 2019
    2019.0
    Citations: 30
  • Induced mixing electrokinetics in a charged corrugated nano-channel: towards a controlled ionic transport
    A Banerjee, AK Nayak, A Haque, B Weigand
    Microfluidics and Nanofluidics 22 (10), 115 , 2018
    2018.0
    Citations: 24
  • Electroosmotic Flow Separation in a Corrugated Micro-Channel: A Numerical Study
    A Banerjee, AK Nayak
    Fluids Engineering Division Summer Meeting 51579, V003T21A001 , 2018
    2018.0
  • Mixing and charge transfer in a nanofluidic system due to a patterned surface
    AK Nayak, A Banerjee, B Weigand
    Applied Mathematical Modelling 54, 483-501 , 2018
    2018.0
    Citations: 23
  • Assessment and Prediction of EOF Mixing in Binary Electrolytes
    A Banerjee, AK Nayak
    Fluids Engineering Division Summer Meeting 58059, V01BT10A016 , 2017
    2017.0
  • Thermosolutal mixed convection of a shear thinning fluid due to partially active mixed zones within a lid-driven cavity
    AK Nayak, A Haque, A Banerjee
    International Journal of Heat and Mass Transfer 106, 686-707 , 2017
    2017.0
    Citations: 22
  • Electroosmotic Flow Mixing due to Obstructions: A Case Study
    A Banerjee, AK Nayak
    Proceedings of Fluid Mechanics and Fluid Power , 2017
    2017.0
  • Flow mixing and electric potential effect of binary fluids in micro/nano channels
    AK Nayak, A Haque, A Banerjee, B Weigand
    Colloids and Surfaces A: Physicochemical and Engineering Aspects 512, 145-157 , 2017
    2017.0
    Citations: 22
  • Enhanced Electro-Osmotic Flow of Power-Law Fluids in Hydrophilic Patterned Nanochannel
    AK Nayak, A Banerjee

MOST CITED SCHOLAR PUBLICATIONS

  • Influence of varying zeta potential on non-Newtonian flow mixing in a wavy patterned microchannel
    A Banerjee, AK Nayak
    Journal of Non-Newtonian Fluid Mechanics 269, 17-27 , 2019
    2019.0
    Citations: 55
  • Enhanced mixing and flow reversal in a modulated microchannel
    A Banerjee, AK Nayak, B Weigand
    International Journal of Mechanical Sciences 155, 430-439 , 2019
    2019.0
    Citations: 30
  • Induced mixing electrokinetics in a charged corrugated nano-channel: towards a controlled ionic transport
    A Banerjee, AK Nayak, A Haque, B Weigand
    Microfluidics and Nanofluidics 22 (10), 115 , 2018
    2018.0
    Citations: 24
  • Mixing and charge transfer in a nanofluidic system due to a patterned surface
    AK Nayak, A Banerjee, B Weigand
    Applied Mathematical Modelling 54, 483-501 , 2018
    2018.0
    Citations: 23
  • Thermosolutal mixed convection of a shear thinning fluid due to partially active mixed zones within a lid-driven cavity
    AK Nayak, A Haque, A Banerjee
    International Journal of Heat and Mass Transfer 106, 686-707 , 2017
    2017.0
    Citations: 22
  • Flow mixing and electric potential effect of binary fluids in micro/nano channels
    AK Nayak, A Haque, A Banerjee, B Weigand
    Colloids and Surfaces A: Physicochemical and Engineering Aspects 512, 145-157 , 2017
    2017.0
    Citations: 22
  • A comparative analysis of mixing performance of power-law fluid in cylindrical microchannels with sudden contraction/expansion
    A Banerjee, AK Nayak, B Weigand
    Journal of Fluids Engineering 142 (6), 061201 , 2020
    2020.0
    Citations: 20
  • Time-dependent electroosmotic flow with variable slips along microchannel
    A Haque, AK Nayak, B Weigand, A Banerjee
    Industrial & Engineering Chemistry Research 59 (2), 942-955 , 2019
    2019.0
    Citations: 15
  • Enhanced electro-osmotic flow of power-law fluids in hydrophilic patterned nanochannel
    M Majhi, AK Nayak, A Banerjee
    Journal of Fluids Engineering 142 (10), 101201 , 2020
    2020.0
    Citations: 13
  • Efficient electrokinetic non-Newtonian flow mixing in a patterned micro-tube
    A Banerjee, S Ghosh, B Weigand
    Physics of Fluids 37 (3) , 2025
    2025.0
    Citations: 8
  • Deformation of an axisymmetric viscoplastic drop in extensional/compressional flow
    A Banerjee, OM Lavrenteva, I Smagin, A Nir
    Journal of Non-Newtonian Fluid Mechanics 292, 104534 , 2021
    2021.0
    Citations: 5
  • Viscoplastic toroidal drop in compressional Stokes flow
    A Banerjee, OM Lavrenteva, I Smagin, A Nir
    Physics of Fluids 33 (7) , 2021
    2021.0
    Citations: 4
  • Variational approach for Stokes flow through a two-dimensional non-uniform channel
    A Banerjee, A Oron, Y Agnon
    Scientific Reports 14 (1), 15689 , 2024
    2024.0
  • Electroosmotic Flow Separation in a Corrugated Micro-Channel: A Numerical Study
    A Banerjee, AK Nayak
    Fluids Engineering Division Summer Meeting 51579, V003T21A001 , 2018
    2018.0
  • Assessment and Prediction of EOF Mixing in Binary Electrolytes
    A Banerjee, AK Nayak
    Fluids Engineering Division Summer Meeting 58059, V01BT10A016 , 2017
    2017.0
  • Electroosmotic Flow Mixing due to Obstructions: A Case Study
    A Banerjee, AK Nayak
    Proceedings of Fluid Mechanics and Fluid Power , 2017
    2017.0
  • Enhanced Electro-Osmotic Flow of Power-Law Fluids in Hydrophilic Patterned Nanochannel
    AK Nayak, A Banerjee