Chemical Engineering
IIT Kanpur

Microfluidics and Complex Fluids Group

V Shankar

home        home        home         home        


Publications in refereed journals:



The pdf files of the articles below may be downloaded for personal use only. Any other use requires prior permission of the author and the respective publishers. The articles can be accessed in the respective journals by clicking on the journal name in each publication below.


  1. S. Yadav, G. Subramanian, and V. Shankar, Elastic instability in a family of rectilinear viscoelastic channel flows devoid of centerline symmetry, Physical Review Fluids, 9, 013301 (2024).
  2. M. Priyadarshi et al., A new elastic instability in gravity-driven viscoelastic film flow, Physics of Fluids, 35, 073104 (2023). Download PDF
  3. V. Nair, I. Sharma and V. Shankar, Equilibrium shapes of liquid drops on pre-stretched nonlinear elastic membranes, Journal of Fluid Mechanics, 961, A21 (2023).
  4. S. Sharma et al., Viscoelasticity and rheological hysteresis, Journal of Rheology, 67, 139-155 (2023). Download PDF
  5. Satya Sekhar, Ashutosh Sharma, and V. Shankar, Instability and rupture of ultrathin freestanding viscoelastic solid films, Physical Review E, 106, 024803 (2022). Download PDF
  6. S. S. Dutta et al., Perspectives on viscoelastic flow instabilities and elastic turbulence, Physical Review Fluids, 7, 080701 (2022). ArXiV PDF
    7. Invited perspective article coauthored by the participants of the workshop on elastic instabilities and turbulence organized by the Princeton Center for Theoretical Sciences in January 2021.
  7. V. Shankar and Ganesh Subramanian, A linear route to elasto-inertial turbulence, Science Talks, June 2022. PDF
    Summary and video (~ one hour) of the invited talk in the `JNNFM Complex Fluids Seminar' organized by the Journal of non-Newtonian Fluid Mechanics.
  8. Kushwaha et al., Dynamics and shear banding in stress‑controlled start‑up shear fow of model aging soft materials: the role of inertia and thixotropy, Rheologica Acta (2022).
  9. Castillo-Sanchez et al., Understanding viscoleastic flow instabilites: Oldroyd-B and beyond, Journal of non-Newtonian Fluid Mechanics, 301, 104742 (2022). ArXiV PDF
    Invited review article written for the special issue commemorating the birth centenary of James Oldroyd.
  10. S. Sharma et al., Onset of transient shear banding in viscoelastic shear start-up flows: Implications from linearized dynamics, Journal of Rheology, 65, 1391-1412 (2021). Download PDF
  11. Mohammad Khalid, V. Shankar, and Ganesh Subramanian, Continuous pathway between the elasto-inertial and elastic turbulent states in viscoelastic channel flow, Physical Review Letters, 127, 134502 (2021). ArXiv PDF
  12. M. Agarwal et al., Distinguishing Thixotropy from Viscoelasticity, Journal of Rheology, 65, 663-679 (2021). Download PDF
  13. Satya Sekhar and V. Shankar, Instability of ultrathin freestanding viscoleastic films, Physics of Fluids, 33, 032115 (2021). Download PDF
  14. Mohammad Khalid, Indresh Chaudhary, Piyush Garg, V. Shankar, and Ganesh Subramanian, The center-mode instability of viscoelastic plane-Poiseuille flow, Journal of Fluid Mechanics, 915, A43-1 - A43-40 (2021). ArXiv PDF
  15. Indresh Chaudhary, Piyush Garg, Ganesh Subramanian and V. Shankar, Linear instability of viscoelastic pipe flow, Journal of Fluid Mechanics, 908, A11-1 - A11-53 (2021). ArXiv PDF
  16. Rishav Agrawal and V. Shankar, Electrohydrodnamic instability of confined viscoelastic liquid jets, Journal of non-Newtonian Fluid Mechanics, 288, 104453. doi link (2021).
  17. Ramkarn Patne and V. Shankar, Instability induced by wall deformability in sliding Couette flow, Physics of Fluids, 32, 114102 (2020). Download PDF
  18. S. Mandloi and V. Shankar, Stability of flow in a deformable channel with an unrestrained boundary, Physics of Fluids, 32, 054107 (2020). Download PDF
  19. S. Mandloi and V. Shankar, Stability of gravity-driven free-surface flow past a deformable solid: The role of depth-dependent modulus, Physical Review E, 101, 043107 (2020). Download PDF
  20. Bidhan Chandra, V. Shankar and Debopam Das, Early transition, relaminarization, and drag reduction in the flow of polymer solutions through microtubes, Journal of Fluid Mechanics, 885, A47-1 - A47-34 (2020). Download PDF
  21. Bidhan Chandra, V. Shankar and Debopam Das, Onset of transition in the flow of polymer solutions through deformable tubes, Physics of Fluids, 31, 114103 (2019). Download PDF
  22. Indresh Chaudhary, Piyush Garg, V. Shankar and Ganesh Subramanian, Elasto-inertial wall mode instabilities in viscoelastic plane Poiseuille flow, Journal of Fluid Mechanics, 881, 119-163 (2019). Download PDF
  23. Parag Joshi and V. Shankar, Flow-induced resonant shear-wave instability at the interface between a viscoelastic fluid and an elastic solid, Physics of Fluids, 31, 084107 (2019). Download PDF
  24. B. Chandra et al., Instability driven by shear thinning and elasticity in the flow of concentrated polymer solutions through microtubes, Physical Review Fluids, 4, 083301 (2019). Download PDF
  25. Ramkarn Patne and V. Shankar, Stability of plane Poiseuille flow of a Bingham fluid through a deformable neo-Hookean channel, Physical Review Fluids, 4, 083302 (2019). Download PDF
  26. Ramkarn Patne and V. Shankar, Stability of flow through deformable channels and tubes: implications of consistent formulation, Journal of Fluid Mechanics, 860, 837-885 (2019). Download PDF
  27. Vineet Nair, Ishan Sharma and V. Shankar, Planar equilibria of sessile and pendant liquid drops on geometrically non-linear elastic membranes, Physics of Fluids, 30, 082114 (2018). Download PDF
  28. V. S. Tanmay, Ramkarn Patne and V. Shankar, Stability of plane Couette flow of Carreau fluids past a deformable solid at arbitrary Reynolds numbers, Physics of Fluids, 30, 074103 (2018). Download PDF
  29. P. Garg et al., Viscoelastic pipe flow is linearly unstable, Physical Review Letters, 121, 024502 (2018). ArXiv PDF
  30. A. Jain et al., Role of inertia and thixotropy in start-up flows of aging soft materials: Transient dynamics and shear banding in a rate-controlled flow field, Journal of Rheology, 62, 1001-1016 (2018). ArXiv PDF
  31. Bidhan Chandra, V. Shankar and Debopam Das, Onset of transition in the flow of polymer solutions through microtubes, Journal of Fluid Mechanics, 844, 1052-1083 (2018). Download PDF
  32. Ramkarn Patne and V. Shankar, Absolute and convective instabilities in combined Couette-Poiseuille flow past a neo-Hookean solid, Physics of Fluids, 29, 124104 (2017). Download PDF
  33. Ramkarn Patne, D. Giribabu and V. Shankar, Consistent formulations for stability of fluid flow through deformable tubes and channels, Journal of Fluid Mechanics, 827, 31-66 (2017). Download PDF
  34. D. Giribabu and V. Shankar, Stability of plane Couette flow of a power-law fluid past a neo-Hookean solid at arbitrary Reynolds number, Physics of Fluids, 29, 074106 (2017). Download PDF
  35. Shivam Sahu and V. Shankar, Passive manipulation of free-surface instability by deformable solid bilayers, Physical Review E, 94, 013111 (2016). Download PDF
  36. D. Giribabu and V. Shankar, Consistent formulation of solid dissipative effects in stability analysis of flow past a deformable solid, Physical Review Fluids 1, 033602 (2016). Download PDF
  37. S. Sarkar, K. K. Singh, V. Shankar, and K. T. Shenoy, CFD simulations to study the effects of wall protrusions on microfluidic mixing, Journal of Micromechanics and Microengineering, 25, 084008 (2015). Download PDF
  38. Gaurav and V. Shankar, Manipulation of interfacial instabilities by using a soft, deformable solid layer, Sadhana, 40, 1033-1048 (2015). Download PDF
  39. V. Shankar, Stability of fluid flow through deformable tubes and channels: An overview, Sadhana, 40, 925-943 (2015). Download PDF
  40. V. Shankar and V. Kumaran, Foreword: International Union on Theoretical and Applied Mechanics (IUTAM) Symposium: Deformable Tubes, Sadhana, 40, 889-890 (2015). Download PDF
  41. R. Neelamegam and V. Shankar, Experimental study of the instability of laminar flow in a tube with deformable walls, Physics of Fluids, 27, 024102 (2015). Download PDF
  42. S. Sarkar, K. K. Singh, V. Shankar, and K. T. Shenoy, Numerical simulation of mixing at 1–1 and 1–2 microfluidic junctions, Chemical Engineering and Processing: Process Intensification, 85, 227 - 240 (2014). Download PDF
  43. R. Neelamegam, D. Giribabu and V. Shankar, Instability of viscous flow over a deformable two-layered gel: Experiments and theory, Physical Review E, 90, 043004 (2014). Download PDF
  44. R. Neelamegam, V. Shankar and Debopam Das, Suppression of purely-elastic instabilities in the torsional flow of viscoelastic fluid past a soft solid, Physics of Fluids, 25, 124102 (2013). Download PDF
  45. Gaurav and V. Shankar, Manipulation of interfacial instabilities in core-annular flows using a deformable solid layer, Physics of Fluids, 25, 014104 (2013). Download PDF
  46. Gaurav and V. Shankar, Role of wall deformability on interfacial instabilities in gravity-driven two-layer flow with a free surface, Physics of Fluids, 22, 094103 (2010). Download PDF
  47. Gaurav and V. Shankar, Stability of pressure-driven flow in a deformable neo-Hookean channel, Journal of Fluid Mechanics, 659, 318-350 (2010). Download PDF
  48. D. Bandyopadhyay, A. Sharma and V. Shankar, Electric-field - contact-force tunable patterns in slipping soft elastic films, European Physical Letters 89, 36002 (2010). Download PDF
  49. Gaurav and V. Shankar, Stability of fluid flow through deformable neo-Hookean tubes, Journal of Fluid Mechanics, 627, 291-322 (2009). Download PDF
  50. A. Jain and V. Shankar, Elastohydrodynamic suppression of free-surface instabilities in annular liquid film flow outside wires and inside tubes, Industrial and Engineering Chemistry Research, 47, 6473-6485 (2008). Download PDF
  51. D. Bandopadhyay, A. Sharma and V. Shankar, Instabilities and pattern minaturization in confined and free-elastic viscous bilayers, Journal of Chemical Physics, 128, 154909 (12 pages) (2008). Download PDF
  52. A. Jain and V. Shankar, Instability suppression in viscoelastic film flows down an inclined plane lined with a deformable solid layer, Physical Review E, 76, 046314 (2007). Download PDF
  53. G. Tomar, V. Shankar, A. Sharma and G. Biswas, Electrohydrodynamic instability of a confined viscoelastic liquid film, Journal of Non-Newtonian Fluid Mechanics, 143, 120-130 (2007). Download PDF
  54. Gaurav and V. Shankar, Stability of gravity-driven free-surface flow past a deformable solid at zero & finite Reynolds number, Physics of Fluids, 19, 024105 (11 pages) (2007). Download PDF
  55. Janakiramulu Adepu and V. Shankar, Suppression or enhancement of interfacial instability in two-layer plane Couette flow of FENE-P fluids past a deformable solid, Journal of Non-Newtonian Fluid Mechanics, 141, 43-58 (2007). Download PDF
  56. G.Tomar, V.Shankar, S.K.Shukla, A.Sharma and G.Biswas, Instability and dynamics of thin viscoelastic liquid films, European Physical Journal E, 20, 185-200 (2006). Download PDF
  57. V. Shankar and Akhilesh K Sahu, Suppression of instability in liquid flow down an inclined plane by a deformable solid layer, Physical Review E, 73, 016301-1 - 016301-12 (2006). Download PDF
  58. V. Shankar, Stability of two-layer viscoelastic plane Couette flow past a deformable solid layer: Implications of fluid viscoscity stratification, Journal of Non-Newtonian Fluid Mechanics, 125, 143 - 158 (2005). Download PDF
  59. A. Sameer Kumar and V. Shankar, Instability of high-frequency modes in viscoelastic plane Couette flow past a deformable wall at low and finite Reynolds number, Journal of Non-Newtonian Fluid Mechanics, 125, 121-141 (2005). Download PDF
  60. V. Shankar and Lalit Kumar, Stability of two-layer Newtonian plane Couette flow past a deformable solid layer, Physics of Fluids, 16, 4426-4442 (2004). Download PDF
  61. V. Shankar, Stability of two-layer viscoelastic plane Couette flow past a deformable solid layer, Journal of Non-Newtonian Fluid Mechanics, 117, 163-182 (2004). Download PDF
  62. V. Shankar and Ashutosh Sharma, Instability of the interface between thin fluid films subjected to electric fields, Journal of Colloid and Interface Science, 274, 294-308 (2004). Download PDF
  63. V. Shankar and Satish Kumar, Instability of viscoelastic plane Couette flow past a deformable wall, Journal of Non-Newtonian Fluid Mechanics, 116, 371-393 (2004). Download PDF
  64. V. Shankar, Matteo Pasquali and David C Morse, Theory of linear viscoelasticity of semiflexible rods in dilute solution, Journal of Rheology, 46, 1111-1154 (2002). Download PDF
  65. V. Shankar and V. Kumaran, Stability of wall modes in fluid flow past a flexible surface, Physics of Fluids, 14, 2324-2338 (2002). Download PDF
  66. M. Pasquali, V. Shankar and D. C. Morse, Viscoelasticity of dilute solutions of semiflexible polymers, Physical Review E, 64, 020802(R) (2001). Download PDF
  67. R. Thoakar, V. Shankar and V. Kumaran, Effect of tangential wall motion on the viscous instability in flow past flexible surfaces, European Physical Journal B, 23, 533-550 (2001). Download PDF
  68. V. Shankar and V. Kumaran, Asymptotic analysis of wall modes in a flexible tube revisited, European Physical Journal B, 19, 607-622 (2001). Download PDF
  69. V. Shankar and V. Kumaran, Weakly nonlinear stability of viscous flow past a flexible surface, Journal of Fluid Mechanics, 434, 337-354 (2001). Download PDF
  70. V. Shankar and V. Kumaran, Stability of fluid flow in a flexible tube to nonaxisymmetric disturbances, Journal of Fluid Mechanics, 407, 291-314 (2000). Download PDF
  71. V. Shankar and V. Kumaran, Stability of non-parabolic flow in a flexible tube, Journal of Fluid Mechanics, 395, 211-236 (1999). Download PDF

Books
  1. R. P. Chhabra and V. Shankar, Coulson and Richardson's Chemical Engineering (7th edition) Volume 1A: Fluid Flow: Fundamentals and Applications, Elsevier (2017)
  2. R. P. Chhabra and V. Shankar, Coulson and Richardson's Chemical Engineering (7th edition) Volume 1B: Heat and Mass Transfer: Fundamentals and Applications, Elsevier (2017)
V Shankar V Shankar


Book Chapter

  1. V. Shankar and Gaurav, Suppression of interfacial instabilities using soft, deformable coatings, in Nanoscale and microscale phenomena, pp 179-232, Springer (2015) DOI:10.1007/978-81-332-2289-7_9.