Linear stability of sand waves sheared by a turbulent flow

Dey, Subhasish and Mahato, Rajesh K. and Ali, S K Zeeshan (2022) Linear stability of sand waves sheared by a turbulent flow. Environmental Fluid Mechanics, 22 (2-3). pp. 429-446. ISSN 1567-7419

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Abstract

In this paper, the linear stability of sand waves sheared by a turbulent flow is analyzed. The velocity distribution in the streamwise direction is considered to follow the logarithmic law. The modified pressure distribution owing to the streamline curvature induced by the sand waves is employed in the formulation. The pressure distribution is derived using the Boussinesq approximation for the variation of streamline curvature over the flow depth. The flow model is coupled with the sediment transport model to study the stability of sand waves. Both the modes of sediment transport as bedload and suspended load are considered. The linear stability analysis reveals the favorable region for the formation of dunes and antidunes on the plane formed by the Froude number and the dimensionless wavenumber. The region of instability increases with an increase in particle parameter, while it decreases with an increase in relative roughness. The analysis reveals that the sand waves form beyond a limiting Froude number corresponding to the threshold Shields number. The theoretical results compare well with the available experimental data. © 2021, The Author(s), under exclusive licence to Springer Nature B.V.

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IITH Creators:

IITH Creators	ORCiD
Ali, S K Zeeshan	UNSPECIFIED

Item Type:

Article

Additional Information:

Acknowledgements The frst author acknowledges the J C Bose Fellowship Award [Funded by DST, Science and Engineering Research Board (SERB), Grant No. JCB/2018/000004] in pursuing this work

Uncontrolled Keywords:

Linear stability; Sand waves; Sediment transport; Turbulent flow

Subjects:

Civil Engineering

Divisions:

Department of Civil Engineering

Depositing User:

. LibTrainee 2021

Date Deposited:

27 Jun 2022 05:41

Last Modified:

30 Jun 2022 05:44