arXiv: Fluid Dynamics
Read

Flame Enhancement and Quenching in Fluid Flows

Publication Date Dec 16, 2002

Abstract

We perform direct numerical simulations (DNS) of an advected scalar field which diffuses and reacts according to a nonlinear reaction law. The objective is to study how the bulk burning rate of the reaction is affected by an imposed flow. In particular, we are interested in comparing the numerical results with recently predicted analytical upper and lower bounds. We focus on reaction enhancement and quenching phenomena for two classes of imposed model flows with different geometries: periodic shear flow and cellular flow. We are primarily interested in the fast advection regime. We find that the bulk burning rate v in a shear flow satisfies v ~ a*U+b where U is the typical flow velocity and a is a constant depending on the relationship between the oscillation length scale of the flow and laminar front thickness. For cellular flow, we obtain v ~ U^{1/4}. We also study flame extinction (quenching) for an ignition-type reaction law and compactly supported initial data for the scalar field. We find that in a shear flow the flame of the size W can be typically quenched by a flow with amplitude U ~ alpha*W. The constant alpha depends on the geometry of the flow and tends to infinity if the flow profile has a plateau larger than a critical size. In a cellular flow, we find that the advection strength required for quenching is U ~ W^4 if the cell size is smaller than a critical value.

Concepts
Powered ByUnsilo

Cellular Flow
Bulk Burning Rate
Periodic Shear Flow
Shear Flow
Quenching
Advection
Flame
Scalar Field
Fluid Flows
Burning

Introducing Weekly Round-ups!Beta

Powered by R DiscoveryR Discovery

Round-ups are the summaries of handpicked papers around trending topics published every week. These would enable you to scan through a collection of papers and decide if the paper is relevant to you before actually investing time into reading it.

Coronavirus Research Articles published between Aug 01, 2022 to Aug 07, 2022

R DiscoveryAug 08, 2022
R DiscoveryArticles Included:  5

Introduction: The corona virus disease (COVID)-19 is a severe acute respiratory syndrome (SARS-CoV-2) which is posing a great threat to mankind and ha...

Read More

Climate change Research Articles published between Aug 01, 2022 to Aug 07, 2022

R DiscoveryAug 08, 2022
R DiscoveryArticles Included:  5

We use cookies to improve your website experience. To learn about our use of cookies and how you can manage your cookie settings, please see our Cooki...

Read More

Good health Research Articles published between Aug 01, 2022 to Aug 07, 2022

R DiscoveryAug 08, 2022
R DiscoveryArticles Included:  2

Don’t have an account? Create a Free Account If you don't remember your password, you can reset it by entering your email address and clicking the Res...

Read More

Quality Of Education Research Articles published between Aug 01, 2022 to Aug 07, 2022

R DiscoveryAug 08, 2022
R DiscoveryArticles Included:  2

Introduction: In 2014 the Accreditation Council for Graduate Medical Education modified adult training requirements for child neurology certification ...

Read More

Gender Equality Research Articles published between Aug 01, 2022 to Aug 07, 2022

R DiscoveryAug 08, 2022
R DiscoveryArticles Included:  3

Introduction: Opioid use disorder (OUD) is characterized as a problematic cycle of substance intoxication and binging, followed by associated withdraw...

Read More

Coronavirus Pandemic

You can also read COVID related content on R COVID-19

R ProductsCOVID-19

ONE PROBLEM . ONE PURPOSE . ONE PLACE

Creating the world’s largest AI-driven & human-curated collection of research, news, expert recommendations and educational resources on COVID-19

COVID-19 Dashboard

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on “as is” basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The Copyright Law.