DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: New scaling law for turbulent boundary layers with high surface mass transfer

Journal Article · · Physics of Fluids
DOI: https://doi.org/10.1063/5.0167741 · OSTI ID:1996499

A fundamental understanding of the phenomena occurring in the turbulent boundary layer in the presence of surface blowing is limited, and considerable disagreements persist even in describing primary quantities, such as the boundary layer profile. The theories based on the linear boundary layer equations show that the thickness of the sublayer increases in the presence of surface blowing; therefore, the viscous sublayer and law of the wall modify. In this study, direct numerical simulations (DNS) of turbulent boundary layers with uniform surface mass transfers are carried out in order to scale the velocity profile. Emphasis is placed on moderate to high mass transfer rates, which are relevant to the most common hybrid rockets configuration. DNS data are used to establish a functional law of the wall and a law of wake by means of the relation between the wall shear stress and surface mass transfer. Analysis of the mean kinetic energy budget shows that the magnitude of turbulent kinetic energy increases by surface mass transfer, and the production rate extends significantly in the inner layer as the injection rate increases. DNS data of various surface blowing are used to complete the closure of turbulence kinetic energy equation and develop an eddy viscosity model. The predicted turbulent kinetic energy and eddy viscosity agree with DNS data for moderate to high blowing rates.

Research Organization:
State Univ. of New York at Buffalo, NY (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003961
OSTI ID:
1996499
Journal Information:
Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 9 Vol. 35; ISSN 1070-6631
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (40)

A scalable compressible volume of fluid solver using a stratified flow model journal January 2023
A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations journal April 2003
Turbulent boundary layer combustion in the hybrid rocket journal January 1963
Combustion in the turbulent boundary layer on a vaporizing surface journal January 1965
Radiation heat transfer in ablating boundary layer combustion theory used for hybrid rocket motor analysis journal July 2020
A simple eddy viscosity formulation for turbulent boundary layers near smooth walls journal March 2009
A sequel to AUSM, Part II: AUSM+-up for all speeds journal May 2006
The law of the wake in the turbulent boundary layer journal July 1956
Similarity laws for turbulent boundary layers with suction or injection journal April 1965
A law of the wall for compressible turbulent boundary layers with air injection journal July 1969
The minimal flow unit in near-wall turbulence journal April 1991
On the identification of a vortex journal February 1995
A wall-wake model for the turbulence structure of boundary layers. Part 1. Extension of the attached eddy hypothesis journal September 1995
Large-eddy simulation of the zero-pressure-gradient turbulent boundary layer up to Reθ = O(1012) journal September 2011
New scaling laws for turbulent Poiseuille flow with wall transpiration journal March 2014
Quantifying wall turbulence via a symmetry approach: a Lie group theory journal August 2017
A universal velocity profile for smooth wall pipe flow journal September 2019
Reynolds number scaling of the peak turbulence intensity in wall flows journal December 2020
A universal velocity profile for turbulent wall flows including adverse pressure gradient boundary layers journal December 2021
Turbulence structure in a river reach with sand bed journal May 1998
Analytical study of turbulent Poiseuille flow with wall transpiration journal May 2008
Direct numerical simulation of turbulence in injection-driven plane channel flows journal October 2008
New approximate boundary conditions for large eddy simulations of wall‐bounded flows journal June 1989
Turbulent transport in wall-bounded flows. Evaluation of model coefficients using direct numerical simulation journal December 1993
Integral measures of the zero pressure gradient boundary layer over the Reynolds number range ≤Rτ<∞ journal August 2021
Data-driven model for improving wall-modeled large-eddy simulation of supersonic turbulent flows with separation journal December 2021
Wall-model integrated computational framework for large-eddy simulations of wall-bounded flows journal December 2021
On the turbulent boundary layer over a flat plate at moderate Reynolds numbers journal November 2022
Comparison and modification of turbulence models for active flow separation control over a flat surface journal June 2023
Turbulent Poiseuille Flow with Wall Transpiration: Analytical Study and Direct Numerical Simulation journal December 2011
Space-time characteristics of wall-pressure and wall shear-stress fluctuations in wall-modeled large eddy simulation journal June 2016
Small-scale energy cascade in homogeneous isotropic turbulence journal October 2019
A Finite-Difference Method for Calculating Compressible Laminar and Turbulent Boundary Layers journal September 1970
Heat Transfer to the Highly Accelerated Turbulent Boundary Layer With and Without Mass Addition journal August 1970
On the Laminar Motion of a Fluid Near an Oscillating Porous, Infinite Plane journal March 1968
Wall-Modeled Large-Eddy Simulation for Complex Turbulent Flows journal January 2018
Large eddy simulation with modeled wall-stress: recent progress and future directions journal January 2016
Combustion of Liquefying Hybrid Propellants: Part 1, General Theory journal May 2002
Direct numerical simulation of turbulent transport with uniform wall injection and suction journal July 1995
On Turbulent Flow Near a Wall journal November 1956