Owing to the multiscale nature and the consequent high-computational cost associated with simulations of flows over rough surfaces, effective models are being developed as a practical means of dealing with such flows. Existing effective models focus primarily on accurately predicting interface velocities using the slip length. Moreover, they are concerned mainly with flat interfaces and do not directly address the drag computation. In this work, we formulate the Transpiration-Resistance model in polar coordinates and address the challenge of computing drag components on rough surfaces. Like the slip length, we introduce two constitutive parameters called shear and pressure correction factors that encompass information about how the total drag is partitioned into viscous and pressure components. Computation of these non-empirical parameters does not necessitate solving additional microscale problems; they can be obtained from the same microscale problem used for the slip-length calculation. We demonstrate the effectiveness of the proposed parameters for the Couette flow over rough surfaces. Moreover, using the flow over a rough cylinder as an example, we present the accuracy of predicting interface velocity and drag components by comparing the effective model results with those obtained from geometry-resolved simulations. Numerical simulations presented in this paper prove that we can accurately capture both viscous and pressure drag over rough surfaces for flat- and circular-interface problems using the proposed constitutive parameters.
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July 2022
Research Article|
July 07 2022
Prediction of drag components on rough surfaces using effective models
Sahaj Jain
;
Sahaj Jain
(Conceptualization, Investigation, Methodology, Software, Writing – original draft, Writing – review & editing)
School of Mechanical Sciences, Indian Institute of Technology Goa
, Farmagudi, Goa 403 401, India
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Y. Sudhakar
Y. Sudhakar
a)
(Conceptualization, Funding acquisition, Methodology, Software, Supervision, Writing – original draft, Writing – review & editing)
School of Mechanical Sciences, Indian Institute of Technology Goa
, Farmagudi, Goa 403 401, India
a)Author to whom correspondence should be addressed: sudhakar@iitgoa.ac.in
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a)Author to whom correspondence should be addressed: sudhakar@iitgoa.ac.in
Physics of Fluids 34, 073602 (2022)
Article history
Received:
April 12 2022
Accepted:
June 17 2022
Citation
Sahaj Jain, Y. Sudhakar; Prediction of drag components on rough surfaces using effective models. Physics of Fluids 1 July 2022; 34 (7): 073602. https://doi.org/10.1063/5.0095779
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