Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded Jets

Though inclined under-expanded planar jets are used in many practical applications, the wall stress resulting from their impingement has not been adequately characterized. Reduced-order models for wall shear as a function of jet parameters have not been reported. This work uses computational fluid d...

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Main Authors: Patrick Fillingham, Arjun Viswanathan, Igor V. Novosselov
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/14/7311
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author Patrick Fillingham
Arjun Viswanathan
Igor V. Novosselov
author_facet Patrick Fillingham
Arjun Viswanathan
Igor V. Novosselov
author_sort Patrick Fillingham
collection DOAJ
description Though inclined under-expanded planar jets are used in many practical applications, the wall stress resulting from their impingement has not been adequately characterized. Reduced-order models for wall shear as a function of jet parameters have not been reported. This work uses computational fluid dynamics to determine wall shear stress as a function of the nozzle parameters and jet angle. The simulations of the impinging jet are validated against the experimental data and direct numerical simulation; then, the jet parameters are varied to formulate an empirical relationship for maximum wall shear stress as a function of a nozzle pressure ratio, standoff distance, jet Reynolds number, and impingement angle. The global expression for shear stress agrees with the numerical results within a mean deviation of 3%. The relationship can be used for applications where shear stress information is required to design or assess the performance of practical systems, such as surface cleaning, particle resuspension from the surface, and surface cooling.
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spelling doaj.art-16244ed1fe8f4d0499af9c332410b5892023-12-03T14:37:50ZengMDPI AGApplied Sciences2076-34172022-07-011214731110.3390/app12147311Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded JetsPatrick Fillingham0Arjun Viswanathan1Igor V. Novosselov2Department of Neurological Surgery, University of Washington, Seattle, WA 98105, USADepartment of Mechanical Engineering, University of Washington, Seattle, WA 98105, USADepartment of Mechanical Engineering, University of Washington, Seattle, WA 98105, USAThough inclined under-expanded planar jets are used in many practical applications, the wall stress resulting from their impingement has not been adequately characterized. Reduced-order models for wall shear as a function of jet parameters have not been reported. This work uses computational fluid dynamics to determine wall shear stress as a function of the nozzle parameters and jet angle. The simulations of the impinging jet are validated against the experimental data and direct numerical simulation; then, the jet parameters are varied to formulate an empirical relationship for maximum wall shear stress as a function of a nozzle pressure ratio, standoff distance, jet Reynolds number, and impingement angle. The global expression for shear stress agrees with the numerical results within a mean deviation of 3%. The relationship can be used for applications where shear stress information is required to design or assess the performance of practical systems, such as surface cleaning, particle resuspension from the surface, and surface cooling.https://www.mdpi.com/2076-3417/12/14/7311impinging jetssupersonic flowwall shear stressCFD
spellingShingle Patrick Fillingham
Arjun Viswanathan
Igor V. Novosselov
Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded Jets
Applied Sciences
impinging jets
supersonic flow
wall shear stress
CFD
title Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded Jets
title_full Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded Jets
title_fullStr Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded Jets
title_full_unstemmed Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded Jets
title_short Model for Wall Shear Stress from Obliquely Impinging Planar Underexpanded Jets
title_sort model for wall shear stress from obliquely impinging planar underexpanded jets
topic impinging jets
supersonic flow
wall shear stress
CFD
url https://www.mdpi.com/2076-3417/12/14/7311
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