Article
Mechanics
Mohammad Khalid, Indresh Chaudhary, Piyush Garg, V. Shankar, Ganesh Subramanian
Summary: A modal stability analysis reveals that plane Poiseuille flow of an Oldroyd-B fluid is prone to instability towards a 'centre mode' with a phase speed close to the maximum base-flow velocity, Umax. The critical Reynolds number, Rec, is around 200 for experimentally relevant values, and the unstable eigenmodes are spread out across the channel. In the limit where E(1 - beta) << 1, the critical Reynolds number, Rec, decreases with (E(1 - beta))(-3/2) and the critical wavenumber, kc, is proportional to (E(1 - beta))(-1/2).
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Jiaxing Song, Zhen-Hua Wan, Nansheng Liu, Xi-Yun Lu, Bamin Khomami
Summary: A high-order transition route has been discovered in Taylor-Couette flows of polymeric solutions, transitioning from inertial to elasticity-dominated turbulence via direct numerical simulations. This two-step transition route involves stabilizing inertial turbulence to laminar flow resembling modulated wavy vortex flow, then destabilizing the laminar flow state to elasticity-dominated turbulence. This transition is achieved by enhancing the extensional viscosity and hoop stresses of the polymeric solution.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Yabiao Zhu, Jiaxing Song, Fenghui Lin, Nansheng Liu, Xiyun Lu, Bamin Khomami
Summary: This study reported for the first time the direct numerical simulation of viscoelastic plane Couette flow transitioning from drag-reduced inertial turbulent flow to drag-enhanced elasto-inertial turbulent flow driven by spanwise rotation. Two novel rotation-dependent drag enhancement mechanisms were proposed and substantiated in the study.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Jose M. Lopez
Summary: Recent experiments have reported a novel transition to elasto-inertial turbulence in the Taylor-Couette flow of a dilute polymer solution. The transition, called vortex merging and splitting (VMS) transition, occurs in the centrifugally unstable regime and the underlying mechanisms are two-dimensional. Direct numerical simulations have been conducted to reproduce the experimental observations and clarify the reasons for this surprising dynamics. It is found that the VMS dynamics is not associated with Taylor vortices but with a steady pattern of elastically induced axisymmetric vortex pairs known as diwhirls.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Yabiao Zhu, Zhenhua Wan, Fenghui Lin, Nansheng Liu, Xiyun Lu, Bamin Khomami
Summary: The existence of a maximum drag enhancement (MDE) asymptote at high rotation (Ro) and Weissenberg (Wi) numbers in turbulent viscoelastic spanwise-rotating plane Couette flow has been demonstrated. Above a critical Wi, drag enhancement plateaus and the MDE asymptote is realized in a broad range of Ro. The mean velocity profiles at MDE closely follow a log-law profile that has a nearly identical slope but different intercepts as a function of Ro. Moreover, the intriguing finding is that MDE occurs in the elasto-inertial turbulence (EIT) flow state and is mainly sustained by elastic forces like the MDR flow state. Hence, a universal picture of elastically induced drag modification asymptotes is emerging, where these asymptotic states are inherent to the elastically sustained EIT flow state.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Mateus C. Guimaraes, Fernando T. Pinho, Carlos B. da Silva
Summary: This study employs the FENE-P model to conduct direct numerical simulations and investigate the far-field region of turbulent wakes of viscoelastic fluids. The results show new scaling laws for various parameters and are well supported by the numerical simulations. When the Weissenberg and Deborah numbers are sufficiently large, turbulent viscoelastic wakes exhibit distinctive behavior compared to Newtonian wakes.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Hugo Abreu, Fernando T. Pinho, Carlos B. da Silva
Summary: In this study, direct numerical simulations were used to analyze the turbulent entrainment mechanism for viscoelastic fluids. The results showed that the interaction between the vorticity field and the polymer stresses in the turbulent/non-turbulent interface layer caused a new mechanism called viscoelastic production. This mechanism had an impact on the enstrophy dynamics, and at high Weissenberg numbers, the enstrophy tended to be concentrated into thin vortex sheets. Furthermore, it was found that the reduction in entrainment rates observed in turbulent flows of viscoelastic fluids, compared with Newtonian fluids, was due to a decrease in the surface area and fractal dimension of the irrotational boundary.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Engineering, Mechanical
Luca Andena, Giulia Chiarot
Summary: This study characterized four different polymers in terms of their bulk and surface mechanical properties. The time-dependence of the materials was addressed by conducting tests at different speeds and frequencies. Scratch hardness was determined using a specific model, which was found to be a reliable and intrinsic evaluation of scratch resistance. The compressive yield stress was identified as the key controlling factor in determining scratch hardness and can be used as a measure of mechanical scratch resistance.
Article
Mechanics
Suming Wang, Wenhua Zhang, Xinyi Wang, Xiaobin Li, Hongna Zhang, Fengchen Li
Summary: This paper conducts direct numerical simulations of viscoelastic drag-reducing turbulence (DRT) to investigate the essence of its maximum drag reduction (MDR) state. The results show that the MDR state can be both inertial turbulence (IT) and elasto-inertial turbulence (EIT), with the dominant dynamics shifting from IT-related to EIT-related dynamics as the maximum extension length (L) of polymers increases. These findings provide insights for breaking through the MDR limit. Rating: 8/10.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Daulet Izbassarov, Marco E. Rosti, Luca Brandt, Outi Tammisola
Summary: Direct numerical simulations investigate the impact of finite Weissenberg numbers up to Wi = 16 on laminar and turbulent channel flows of an elastoviscoplastic (EVP) fluid at a fixed bulk Reynolds number of 2800. The study reveals that drag decreases with both Bingham and Weissenberg numbers in turbulent flow until a transition to laminar flow occurs at high elastic and yield stresses. Furthermore, it is observed that plasticity affects both low- and high-speed streaks equally, attenuating turbulent dissipation and fragmentation of turbulent structures.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Polymer Science
Alexander Semenov, Irina Nyrkova
Summary: This paper theoretically investigates the capillary thinning process of a polymer fluid thread bridging two large immobile droplets, considering the highly stretched polymer chains. A new relation between pressure and flow velocity, called the anti-Bernoulli law, is derived for unentangled polymer solutions, showing that pressure is higher where velocity is faster. Based on this, the flow field is predicted to be irrotational in the thread/droplet transition zones. The free surface profile and thread thinning law for the FENE-P model of polymer dynamics are also predicted and compared with theoretical and experimental results.
Article
Mechanics
Luca De Vincentiis, Dan S. Henningson, Ardeshir Hanifi
Summary: The instability of incompressible boundary-layer flow over an infinite swept wing with disc-type roughness elements and free-stream turbulence was investigated through direct numerical simulations. The study aimed to analyze the sensitivity of transition to free-stream turbulence intensity and confirmed experimental observations regarding the laminar-turbulent transition mechanisms.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Christopher A. Browne, Richard B. Huang, Callie W. Zheng, Sujit S. Datta
Summary: Many processes in environmental, industrial, and energy fields rely on controlling fluid transport in subsurface porous media. Using direct visualization, we show that polymer additives can homogenize flow by inducing elastic flow instability, resulting in random fluctuations and excess flow resistance in individual strata. This instability occurs at lower flow rates in higher-permeability strata, diverting flow towards lower-permeability strata and promoting flow homogenization. Based on the experiments, we develop a model that quantitatively predicts the optimal flow rate for homogenization in a given stratified medium. Our work offers a new approach to homogenizing fluid and passive scalar transport in heterogeneous porous media.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Xiaole Wang, Zuoli Xiao
Summary: This study introduces a transition-predictive Reynolds-averaged Navier-Stokes (RANS) model to improve the ability of constrained large-eddy simulation (TrCLES) in predicting wall-bounded laminar-turbulent transition flows. The TrCLES method is validated in simulations of external and internal flows, and compared with other existing methods. The results show that the TrCLES method accurately predicts laminar separation bubble and separation-induced transition process.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Francesco Romano, Antoine Charles, Francois Dottori, S. Amir Bahrani
Summary: A simplified one-dimensional model is proposed to investigate the transition to turbulence in nonisothermal and non-Newtonian pipe flows. The study reveals that uniformly heating the pipe wall results in earlier transition to turbulence, while differential heating produces a stabilizing effect. Additionally, it is demonstrated that an increase in the power-law index leads to stabilization of the system for power-law fluids.
Article
Mechanics
Shraddha Mandloi, V. Shankar
Article
Mechanics
Indresh Chaudhary, Piyush Garg, Ganesh Subramanian, V Shankar
Summary: A modal stability analysis reveals that pressure-driven pipe flow of an Oldroyd-B fluid is linearly unstable to axisymmetric perturbations, in contrast to Newtonian fluids. The critical Reynolds number for instability diverges in certain asymptotic limits, with the unstable mode localized near the centerline. The study suggests that this linear instability may play a significant role in the onset of turbulence in viscoelastic pipe flows, challenging the prevailing notion of linear stability in such flow conditions.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Mohammad Khalid, Indresh Chaudhary, Piyush Garg, V. Shankar, Ganesh Subramanian
Summary: A modal stability analysis reveals that plane Poiseuille flow of an Oldroyd-B fluid is prone to instability towards a 'centre mode' with a phase speed close to the maximum base-flow velocity, Umax. The critical Reynolds number, Rec, is around 200 for experimentally relevant values, and the unstable eigenmodes are spread out across the channel. In the limit where E(1 - beta) << 1, the critical Reynolds number, Rec, decreases with (E(1 - beta))(-3/2) and the critical wavenumber, kc, is proportional to (E(1 - beta))(-1/2).
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Rishav Agrawal, V Shankar
Summary: Linear stability analysis is used to investigate the electrohydrodynamic instability of viscoelastic jets, showing a dual effect of the electric field on stability and a decrease in the critical Deborah number with increasing conductivity. The presence of elasticity does not affect the stability significantly, indicating that fluid stability is dependent on electrical properties and physical parameters.
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
(2021)
Article
Mechanics
Satya Sekhar, V. Shankar
Summary: This study investigates the linear stability of freestanding thin films under the influence of attractive van der Waals forces, comparing three rheological models and finding that thin freestanding viscous films are unconditionally unstable, while elasticity plays different roles in the stability of solid and liquid films. The linear stability of Jeffreys viscoelastic freestanding films is compared with supported films in the inertialess limit, showing that the instability is unaffected by relaxation time but enhanced with a decrease in viscosity ratio.
Article
Mechanics
Mayank Agarwal, Shweta Sharma, V Shankar, Yogesh M. Joshi
Summary: Experimental and modeling studies demonstrate that applying step-strain or step-stress after cessation of preshear can effectively distinguish thixotropy from viscoelasticity.
JOURNAL OF RHEOLOGY
(2021)
Article
Mechanics
Shweta Sharma, V Shankar, Yogesh M. Joshi
Summary: This study analyzes the transient dynamics of viscoelastic flows during shear start-up, focusing on the onset of shear banding using different models and methods. The results suggest that there is no universal connection between the overshoot and subsequent decay of shear stress and the unstable eigenvalues obtained from stability analysis, making it difficult to predict transient shear banding based solely on shear stress behavior. Additionally, the study highlights the importance of considering factors that may affect the transient phenomena observed during shear start-up.
JOURNAL OF RHEOLOGY
(2021)
Article
Physics, Multidisciplinary
Mohammad Khalid, V Shankar, Ganesh Subramanian
Summary: Research has shown that highly concentrated polymer solutions exhibit linear instability in the absence of inertia under high elasticity conditions, which persists up to a Reynolds number of O(1000). This may provide insights into the transition to turbulence in elastic solids.
PHYSICAL REVIEW LETTERS
(2021)
Review
Mechanics
Hugo A. Castillo Sanchez, Mihailo R. Jovanovic, Satish Kumar, Alexander Morozov, V Shankar, Ganesh Subramanian, Helen J. Wilson
Summary: This review provides an overview of instabilities in shearing flows of viscoelastic fluids using the Oldroyd-B model. The review discusses the shortcomings of the model and suggests the use of more realistic constitutive models. Stability analysis tools and supporting evidence from experiments and simulations are also discussed.
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
(2022)
Article
Mechanics
Lakshmi Kushwaha, V Shankar, Yogesh M. Joshi
Summary: In this study, we investigate the start-up dynamics of aging soft materials under a stress-controlled flow field. We find that the system can undergo structural arrest and shear banding, even when the applied stress is greater than the minimum value associated with the flow curve.
Article
Physics, Fluids & Plasmas
Sujit S. Datta, Arezoo M. Ardekani, Paulo E. Arratia, Antony N. Beris, Irmgard Bischofberger, Gareth H. McKinley, Jens G. Eggers, J. Esteban Lopez-Aguilar, Suzanne M. Fielding, Anna Frishman, Michael D. Graham, Jeffrey S. Guasto, Simon J. Haward, Amy Q. Shen, Sarah Hormozi, Alexander Morozov, Robert J. Poole, V. Shankar, Eric S. G. Shaqfeh, Holger Stark, Victor Steinberg, Ganesh Subramanian, Howard A. Stone
Summary: Viscoelastic fluids can exhibit turbulence-like flows even at low Reynolds numbers due to their unstable and nonlinear nature. Understanding and studying the instabilities of viscoelastic flows is important for both engineering applications and fundamental understanding.
PHYSICAL REVIEW FLUIDS
(2022)
Article
Mechanics
Shweta Sharma, V. Shankar, Yogesh M. Joshi
Summary: In this study, the nonlinear Giesekus model was used to investigate the response of cyclic shear-rate sweep. The research found that this model produces hysteresis loops similar to those observed in thixotropic materials. Additionally, it was shown that the area of the hysteresis loop for viscoelastic materials exhibits bell-shaped/bi-modal curves similar to thixotropic materials. The study suggests caution is needed when attributing hysteresis loops and associated features solely to thixotropy, and that viscoelastic hysteresis may not be connected to shear banding instability.
JOURNAL OF RHEOLOGY
(2023)
Article
Mechanics
Vineet Nair, Ishan Sharma, V. Shankar
Summary: In this study, the equilibrium of an axisymmetric system of sessile and pendent drops on pre-stretched nonlinear elastic membranes is investigated. The non-unique equilibrium solutions due to force balance alone are shown, and the uniqueness of the equilibrium solution is determined by requiring the continuity of meridional stretches across the three-phase contact circle. The equilibrium configurations of the drop-membrane system are computed for a range of drop volumes and membrane pre-tensions using a special class of nonlinear elastic materials - I2 materials. This work enables applications such as using the system as an elastocapillary probe for membrane pre-tension and suggesting an experimental protocol for measuring the membrane's surface properties.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Mamta Priyadarshi, Kopparthi V. Srita, V. V. K. N. Sai Bhaskar, Mohammad Khalid, Ganesh Subramanian, V. Shankar
Summary: This study investigates the linear stability of a viscoelastic fluid film driven by gravity on an inclined plane. The viscoelastic fluid is modeled using the Oldroyd-B constitutive equation and exhibits two distinct purely elastic instabilities, one originating from the free surface and the other from the base-state shear. Both can be analogized with the instabilities observed in a Newtonian fluid system.
Article
Physics, Fluids & Plasmas
Satya Sekhar, Ashutosh Sharma, V Shankar
Summary: In this study, the instability of viscoelastic solid freestanding thin films under the influence of van der Waals forces was analyzed using linear stability analysis and nonlinear simulations. The results showed that the zero-frequency elastic modulus played a crucial role in determining the onset of instability and stabilizing the film, similar to thin supported viscoelastic solid films. However, the critical shear modulus of freestanding solid films was found to be independent of surface tension, unlike thin supported viscoelastic solid films. Furthermore, it was demonstrated that freestanding viscoelastic solid films with higher moduli could be destabilized compared to supported solid films for a given film thickness and Hamaker constant.