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Although the critical Reynolds number for linear instability of the laminar flow in a straight pipe is infinite, we show that it is finite for a divergent pipe, and approaches infinity as the inverse of the divergence angle. The velocity…

Fluid Dynamics · Physics 2021-01-29 Kirti Chandra Sahu , Rama Govindarajan

The onset of turbulence in pipe flow has been a fundamental challenge in physics, applied mathematics, and engineering for over 140 years. To date, the precursor of this laminar-turbulent transition is recognized as transient turbulent…

Fluid Dynamics · Physics 2025-06-10 Jiashun Guan , Jianjun Tao

The problems of nonlinearity and high dimension have so far prevented a complete solution of the control of turbulent flow. Addressing the problem of nonlinearity, we propose a flow control strategy which ensures that the energy of any…

Fluid Dynamics · Physics 2013-01-22 A S Sharma , J F Morrison , B J McKeon , D J N L Limebeer , W H Koberg , S J Sherwin

In shear flows at transitional Reynolds numbers, localized patches of turbulence, known as puffs, coexist with the laminar flow. Recently, Avila et al., Phys. Rev. Let. 110, 224502 (2013) discovered two spatially localized relative periodic…

Fluid Dynamics · Physics 2017-09-28 Nazmi Burak Budanur , Björn Hof

This study revisits the development of viscoplastic flow in pipes and channels, focusing on the flow of a Bingham plastic. Using finite element simulations and the Papanastasiou regularisation, results are obtained across a range of…

Fluid Dynamics · Physics 2024-09-04 Alexandros Syrakos , Evgenios Gryparis , Georgios C. Georgiou

In shear flows turbulence first occurs in the form of localized structures (puffs/spots) surrounded by laminar fluid. We here investigate such spatially intermittent flows in a pipe experiment showing that turbulent puffs have a well…

Fluid Dynamics · Physics 2019-06-25 Devranjan Samanta , Alberto de Lozar , Bjoern Hof

In the present study, numerical investigations were performed with optimisation to determine efficient non-uniform suction profiles to control the flow around a circular cylinder in the range of Reynolds numbers 4<Re<188.5. Several…

Fluid Dynamics · Physics 2019-06-25 James R Ramsay , Mathieu Sellier , Wei Hua Ho

We investigated the propagation of turbulent fronts in pipe flow at high Reynolds numbers by direct numerical simulation. We used a technique combining a moving frame of reference and an artificial damping to isolate the fronts in short…

Fluid Dynamics · Physics 2022-02-09 Kaiwen Chen , Duo Xu , Baofang Song

Dimples on a sphere's surface can lead to significant drag reduction. However, the optimal dimple depth to minimize the drag varies with the Reynolds number ($Re$). In this study, a smart surface-morphing technique is devised that can…

Fluid Dynamics · Physics 2024-05-16 Rodrigo Vilumbrales-Garcia , Putu Brahmanda Sudarsana , Anchal Sareen

A model for the development of turbulent shear flows, created by non-uniform parallel flows in a confining channel, is used to identify the diffuser shape that maximises pressure recovery when the inflow is non-uniform. Wide diffuser angles…

Fluid Dynamics · Physics 2018-04-09 GP Benham , IJ Hewitt , CP Please , P Bird

The recent theoretical discovery of families of travelling wave solutions in pipe flow at Reynolds numbers lower than the transitional range naturally raises the question of their relevance to the turbulent transition process. Here a series…

Fluid Dynamics · Physics 2009-11-13 R. R. Kerswell , O. R. Tutty

In most settings, from international pipelines to home water supplies, the drag caused by turbulence raises pumping costs many times higher than if the flow were laminar. Drag reduction has therefore long been an aim of high priority. In…

Fluid Dynamics · Physics 2019-02-14 Ashley P. Willis , Yongyun Hwang , Carlo Cossu

Turbulence in the flow of fluid through a pipe can be suppressed by buoyancy forces. As the suppression of turbulence leads to severe heat transfer deterioration, this is an important and undesirable phenomenon in both heating and cooling…

Fluid Dynamics · Physics 2021-07-01 Elena Marensi , Shuisheng He , Ashley P. Willis

Motivated by the results of recent experiments (K\"uhnen et al., Flow Turb. Combust., vol. 100, 2018, pp. 919-943), we consider the problem of designing a baffle (an obstacle to the flow) to relaminarise turbulence in pipe flows. Modelling…

Fluid Dynamics · Physics 2020-08-19 Elena Marensi , Zijing Ding , Ashley P. Willis , Rich R. Kerswell

This study aims to extract and characterize structures in fully developed pipe flow at a friction Reynolds number of $\text{Re}_\tau = 12\,400$. To do so, we employ data-driven wavelet decomposition (DDWD) [D.~Floryan and M.~D.~Graham, PNAS…

Fluid Dynamics · Physics 2023-07-07 Alex Guo , Daniel Floryan , Michael D. Graham

In this paper we present a novel algorithm for simulating geometrical flows, and in particular the Willmore flow, with conservation of volume and area. The idea is to adapt the class of diffusion-redistanciation algorithms to the Willmore…

Numerical Analysis · Mathematics 2021-08-30 Thibaut Metivet , Arnaud Sengers , Mourad Ismaïl , Emmanuel Maitre

A variational technique is used to derive analytical expressions for the sensitivity of recirculation length to steady forcing in separated flows. Linear sensitivity analysis is applied to the two-dimensional steady flow past a circular…

Fluid Dynamics · Physics 2014-10-03 E. Boujo , F. Gallaire

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

Reynolds proposed that after sufficiently long times, the flow in a pipe should settle to a steady condition: below a critical Reynolds number, flows should (regardless of initial conditions) always return to laminar, while above, eddying…

Fluid Dynamics · Physics 2018-02-14 Vasudevan Mukund , Björn Hof

Pulsatile fluid flows through straight pipes undergo a sudden transition to turbulence that is extremely difficult to predict. The difficulty stems here from the linear Floquet stability of the laminar flow up to large Reynolds numbers,…

Fluid Dynamics · Physics 2026-01-14 Patrick Keuchel , Marc Avila