Review Article

Vertical Axis Wind Turbine Aerodynamics: Summary and Review of Momentum Models

[+] Author and Article Information
Amin A. Mohammed

Mechanical Engineering Department,
King Fahd University of Petroleum & Minerals,
P.O. Box 8064,
Dhahran 31261, Saudi Arabia
e-mail: www.alhedor.h@gmail.com

Hassen M. Ouakad

Department of Mechanical and
Industrial Engineering,
Sultan Qaboos University,
P.O. Box 33,
AL-Khoud, Muscat 123, Oman
e-mail: houakad@squ.edu.om

Ahmet Z. Sahin

Mechanical Engineering Department,
King Fahd University of Petroleum & Minerals,
P.O. Box 1461,
Dhahran 31261, Saudi Arabia
e-mail: azsahin@kfupm.edu.sa

Haitham M. S. Bahaidarah

Mechanical Engineering Department,
King Fahd University of Petroleum & Minerals,
P.O. Box 84,
Dhahran 31261, Saudi Arabia
e-mail: haithamb@kfupm.edu.sa

1Corresponding author.

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received October 21, 2018; final manuscript received January 15, 2019; published online February 18, 2019. Assoc. Editor: Ryo Amano.

J. Energy Resour. Technol 141(5), 050801 (Feb 18, 2019) (10 pages) Paper No: JERT-18-1795; doi: 10.1115/1.4042643 History: Received October 21, 2018; Revised January 15, 2019

Momentum models or streamtube models represent one of the fundamental approaches in modeling the aerodynamics of straight bladed vertical axis wind turbine (SB-VAWT) of Darrieus type. They are based on momentum (actuator disk) theory and widely used in performance evaluation of VAWTs. In this short review, the authors have strived to compile the basic momentum models that have been widely assumed in the literature for design and performance estimation of SB-VAWTs of Darrieus type. A comprehensive demonstration of the formulation needed for the implantation of these models is also proposed. Three streamtube models are investigated in this paper, namely, the single streamtube (SST), the multiple streamtube (MST), and the double multiple streamtube (DMST) models. Each of these models has it merits and demerits which are also thoroughly discussed in this review.

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Fig. 1

Horizontal axis wind turbine (left) and VAWT (right)

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Fig. 3

Nonrotating actuator disk representing an idealized flow through a wind turbine

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Fig. 4

Velocity and pressure distribution through the streamtube [23]

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Fig. 5

Variation of power and torque coefficients with the induction factor

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Fig. 6

Force diagram of a blade airfoil and associated flow velocities (adapted from Ref. [9])

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Fig. 7

Summary of streamtube model evolution

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Fig. 8

Development of streamtube theory; (I)—SST, (II)—MST, and (III)—DMST [26]

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Fig. 9

Schematic of single streamtube model

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Fig. 10

Diagrammatic representation of MST model [9]

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Fig. 11

Typical streamtube

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Fig. 12

Flow chart for implementing the MST model

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Fig. 13

Schematic of the two-actuator disk in tandem [23]

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Fig. 14

Diagrammatic representation of DMST model



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