Research Papers: Fundamental Issues and Canonical Flows

Rough Surface Wall Function Treatment With Single Equation Turbulence Models

[+] Author and Article Information
U. Goldberg

Metacomp Technologies Inc.,
28632 Roadside Drive,
Agoura Hills, CA 91301
e-mail: ucg@metacomptech.com

P. Batten

Metacomp Technologies Inc.,
28632 Roadside Drive,
Agoura Hills, CA 91301

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received October 3, 2016; final manuscript received February 13, 2017; published online June 2, 2017. Assoc. Editor: Daniel Livescu.

J. Fluids Eng 139(8), 081204 (Jun 02, 2017) (11 pages) Paper No: FE-16-1649; doi: 10.1115/1.4036245 History: Received October 03, 2016; Revised February 13, 2017

Most literature in the area of turbulent flow over rough surfaces discusses methods for turbulence models based on two or more transport equations, one of which is that for turbulence kinetic energy which supplies k that is heavily used for the rough wall treatment. However, many aeronautical engineers routinely use single equation turbulence models which solve directly for eddy viscosity and do not involve k. The present work proposes methods by which such one-equation models can predict flow cases which include multiple rough surfaces. The current approach does not impose changes to the wall distance function, should such a function be necessary. Several examples show that the proposed method is able to produce good predictions of both skin friction and heat transfer along rough surfaces. While results are not always as accurate as those predicted by turbulence models which solve for k, especially if detached or wake-like flow regions exist, accompanied by a significant increase in eddy viscosity, the single-equation models are able to provide predictions at least good enough for preliminary studies.

Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

S–A ν̃,νt versus y+

Grahic Jump Location
Fig. 2

Comparison of S–A and Rt model predictions with correlations for Cf along a rough flat plate at M = 0.84 and y1+ = 7 (P–S roughness model)

Grahic Jump Location
Fig. 3

Performance of Pisarenco et al. [4] roughness model along a rough pipe

Grahic Jump Location
Fig. 4

(Top) Sand dune mesh and (bottom) x-velocity contours showing the separation zone

Grahic Jump Location
Fig. 5

(L) Signed friction speed predicted by Rt, S–A, and k–ε and (R) Rt residuals

Grahic Jump Location
Fig. 6

(a) Topology and dimensions and (b) grid

Grahic Jump Location
Fig. 7

Streamwise velocity profiles at three locations on lower (rough) wall

Grahic Jump Location
Fig. 8

Basic nomenclature

Grahic Jump Location
Fig. 9

Heated rough cylinder in crossflow (air flow from right to left)

Grahic Jump Location
Fig. 10

KS = 1.35 mm: (a) Heat transfer from cylinder surface at midspan and (b) μt/μ contours

Grahic Jump Location
Fig. 11

Predictions for a cooled rough flat plate by one-equation models: (L) Stanton no. and (R) Cf

Grahic Jump Location
Fig. 12

(a) Computational domain and (b) μt/μ contours along curved wall

Grahic Jump Location
Fig. 13

Heat transfer coefficient along the straight and curved wall sections

Grahic Jump Location
Fig. 14

Grid convergence test for curved wall case

Grahic Jump Location
Fig. 15

Main features and dimensions

Grahic Jump Location
Fig. 16

(a) Partial mesh and (b) near-wall grid detail

Grahic Jump Location
Fig. 17

Mach contours in leading edge region

Grahic Jump Location
Fig. 18

μt kicked on due to the trip

Grahic Jump Location
Fig. 19

Predicted velocity profiles (u+ versus y+) at x = 391 mm with ∂p/∂s active in the wall function

Grahic Jump Location
Fig. 20

Predicted velocity profiles with ∂p/∂s active, compared to experimental data at x = 391 mm




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In