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Encouraged by recent studies on the performance of tidal turbine arrays, we extend the classical momentum actuator disc theory to include the free surface effects and allow the vertical arrangement of turbines. Most existing literatures…

Fluid Dynamics · Physics 2017-11-03 Xianliang Gong , Ye Li , Zhiliang Lin , Qiuhao Hu

In confined flows, such as river or tidal channels, arrays of turbines can convert both the kinetic and potential energy of the flow into renewable power. The power conversion and loading characteristics of an array in a confined flow is a…

Fluid Dynamics · Physics 2024-04-23 Aidan Hunt , Brian Polagye

The efficiency of tidal-stream turbines in a large array depends on the balance between negative effects of turbine-wake interactions and positive effects of bypass-flow acceleration due to local blockage, both of which are functions of the…

Fluid Dynamics · Physics 2021-09-08 Pablo Ouro , Takafumi Nishino

A two-scale modelling approach is discussed to predict the performance and energetics of a large number (more than a few hundred) of marine turbines installed as a power farm in a general coastal environment. The kernel of this approach is…

Fluid Dynamics · Physics 2013-12-30 Takafumi Nishino , Richard H. J. Willden

While confinement is understood to increase the power and thrust coefficients of cross-flow turbines, how the optimal rotor geometry changes with the blockage ratio -- defined as the ratio between the array projected area and the channel…

Fluid Dynamics · Physics 2025-06-17 Aidan Hunt , Gregory Talpey , Gemma Calandra , Brian Polagye

In river or tidal channels, cross-flow turbines can achieve higher blockage ratios than other turbine variants, and are therefore able to achieve higher efficiencies. Here, we experimentally investigate how array control strategies might…

Fluid Dynamics · Physics 2025-07-04 Aidan Hunt , Gregory Talpey , Brian Polagye

This tidal stream energy industry has to date been comprised of small demonstrator projects made up of one to a four turbines. However, there are currently plans to expand to commercially sized projects with tens of turbines or more. As the…

General Economics · Economics 2021-05-12 Zoe Goss , Daniel Coles , Matthew Piggott

Oceanic tides have the potential to yield a vast amount of renewable energy. Tidal stream generators are one of the key technologies for extracting and harnessing this potential. In order to extract an economically useful amount of power,…

Optimization and Control · Mathematics 2013-10-15 S. W. Funke , P. E. Farrell , M. D. Piggott

In a confined flow, the performance of a turbine and its near-wake fluid dynamics depend on the blockage ratio, defined as the ratio of the turbine projected area to the channel cross-sectional area. While blockage is understood to increase…

Fluid Dynamics · Physics 2025-08-20 Aidan Hunt , Ari Athair , Owen Williams , Brian Polagye

Extracting the optimal amount of power from an array of tidal turbines requires an intricate understanding of tidal dynamics and the effects of turbine placement on the local and regional scale flow. Numerical models have contributed…

Fluid Dynamics · Physics 2016-02-01 Christian T. Jacobs , Matthew D. Piggott , Stephan C. Kramer , Simon W. Funke

Recent analytical models concerning the limiting efficiency of marine hydrokinetic (MHK) turbines are reviewed with an emphasis on the significance of blockages (of local as well as global flow passages) and wake mixing. Also discussed is…

Fluid Dynamics · Physics 2013-02-22 Takafumi Nishino

Cross-flow turbines, also known as vertical-axis turbines, convert the kinetic energy in moving fluid to mechanical energy using blades that rotate about an axis perpendicular to the incoming flow. In this work, the performance of a…

Fluid Dynamics · Physics 2020-07-21 Isabel Scherl , Benjamin Strom , Steven L. Brunton , Brian L. Polagye

Wind and hydrokinetic energy turbines are often constrained to locations where the available energy is limited by the operation of the turbines themselves. In two-dimensions, we describe how an array can manipulate the steady flow,…

Fluid Dynamics · Physics 2018-02-01 Shreyas Mandre , Niall M. Mangan

Tidal stream power generation represents a promising source of renewable energy. In order to extract an economically useful amount of power, tens to hundreds of tidal turbines need to be placed within an array. The layout of these turbines…

Optimization and Control · Mathematics 2014-10-14 George L. Barnett , Simon W. Funke , Matthew D. Piggott

Cross-flow turbines harness kinetic energy in wind or moving water. Due to their unsteady fluid dynamics, it can be difficult to predict the interplay between aspects of rotor geometry and turbine performance. This study considers the…

This paper presents a new approach for optimising the design of tidal stream turbine farms. In this approach, the turbine farm is represented by a turbine density function that specifies the number of turbines per unit area and an…

Computational Engineering, Finance, and Science · Computer Science 2016-07-12 Simon W. Funke , Stephan C. Kramer , Matthew D. Piggott

Wind turbine wakes negatively impact downwind turbines in wind farms reducing their global efficiency. The reduction of wake-turbine interactions by actuating control on yaw angles and induction factors is an active area of research. In…

Fluid Dynamics · Physics 2020-08-14 Carlo Cossu

Energy-harvesting systems in complex flow environments, such as floating offshore wind turbines, tidal turbines, and ground-fixed turbines in axial gusts, encounter unsteady streamwise flow conditions that affect their power generation and…

Fluid Dynamics · Physics 2023-07-19 Nathaniel J. Wei , John O. Dabiri

Rotors operating in confined flows, or blockage, are commonly encountered in wind and water tunnels, as well as in shallow or dense deployments of hydrokinetic turbines. Confinement induces a streamwise pressure gradient in the channel,…

Fluid Dynamics · Physics 2026-03-10 I. M. L. Upfal , K. J. McClure , K. S. Heck , S. Pieris , J. W. Kurelek , M. Hultmark , M. F. Howland

Wind speed and direction variations across the rotor affect power production. As utility-scale turbines extend higher into the atmospheric boundary layer (ABL) with larger rotor diameters and hub heights, they increasingly encounter more…

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