An analytic solution to the coupled pressure-temperature equations for modeling of photoacoustic trace gas sensors

DOI10.1007/s10665-016-9867-5zbMath1388.35018OpenAlexW2494790569MaRDI QIDQ1707663

Susan E. Minkoff, Artur Safin, Jordan Kaderli, John W. Zweck

Publication date: 3 April 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-016-9867-5

zbMATH Keywords

optothermoacustic detectionpressure-temperatur equations of Morse and Ingardtrace gas sensors

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

A Preconditioned Finite Element Solution of the Coupled Pressure-Temperature Equations Used to Model Trace Gas Sensors ⋮ Optimal-order preconditioners for the Morse-Ingard equations ⋮ Integral equation methods for the Morse-ingard equations ⋮ A Two-Way Coupled Model of Visco-Thermo-Acoustic Effects in Photoacoustic Trace Gas Sensors

Uses Software

• Gmsh
• PETSc
• FEniCS
• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automated solution of differential equations by the finite element method. The FEniCS book
• A mathematical introduction to fluid mechanics
• Modeling and Design Optimization of a Resonant Optothermoacoustic Trace Gas Sensor
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

This page was built for publication: An analytic solution to the coupled pressure-temperature equations for modeling of photoacoustic trace gas sensors