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Title	Preconditioned Navier-Stokes Solution Technique for Laminar Methane-Air Non-Premixed Combustion
Creator	Harvey, Albert D. III; Edwards, Jack R.
Publisher	Digitized by J. Willard Marriott Library, University of Utah
Date	1998
Spatial Coverage	presented at Maui, Hawaii
Abstract	A solution-adaptive Navier-Stokes technique is presented which incorporates a fully implicit solution algorithm with low Mach number preconditioning. The equations are formulated for generalized n-species/rareactions Arrhenius chemistry and are cast in a generalized coordinate frame for application to arbitrary geometries. The grid adaption strategy employs a line-by-line equi-distribution concept in which grid points are re-distributed along each coordinate line during the course of the solution process according to gradients of user specified dependent variables. The solution technique is demonstrated on a laminar methane-air diffusion flame using a 17-species/58-reaction chemistry mechanism. Computed results for temperature, mole fraction, and velocity compare favorably with experimental results. Typical computations require a few hours CPU time on a standard desktop engineering workstation. The accuracy of the computed results illustrate that the solution strategy presented in this paper is an attractive means of computing reacting flows with detailed chemistry.
Type	Text
Format	application/pdf
Language	eng
Rights	This material may be protected by copyright. Permission required for use in any form. For further information please contact the American Flame Research Committee.
Conversion Specifications	Original scanned with Canon EOS-1Ds Mark II, 16.7 megapixel digital camera and saved as 400 ppi uncompressed TIFF, 16 bit depth.
Scanning Technician	Cliodhna Davis
ARK	ark:/87278/s6sj1p7z
Setname	uu_afrc
ID	13604
Reference URL	https://collections.lib.utah.edu/ark:/87278/s6sj1p7z

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Title	Page 12
Format	application/pdf
OCR Text	Show Chemical Source Jacobian The generic expression for the chemical source term Jacobian (with gravitational terms), 5 H 5 / _ W is written for the generalized JV-species reacting system as 3Hfl _ W as, dpi as? aPl 0pi RT M'lgy RT RT as, 9p2 as_ 0P2 as* aP2 M-'2gr AT W2-y RT dSj dpN as2 dpN 9SN 9PN RT W/v_v RT WN9z RT RT 0 0 0 0 0 0 &P9* 0 0 0 0 0 0 Ap. 0 0 0 0 0 0 Apgy Apgz with 7 = ugx 4- vgy 4 wgz and Sj, the total change of mass concentration of species j, (Eq. 25) is rewritten below, and the rate expressions are given by Eqs. (18) as_ dT as2 dT dT ____ T _____ T _££_ T _____ T i=l N N P=I p=i the partial derivatives are, ggj _ 1 ggj dT P=i P=I with flo AT* r, / A \ N , ¥-"_**(s)a'* F \p=l / p=l and - c, 4- 2_,T - ^ - ^ 4- -^-^2 6%, _ (bi ~dT~!\T dkbl _ kbl dkfi k^ (J_ _/ii ~dT ~ki,~dT+ U' T \R' Rn 12
Setname	uu_afrc
ID	13602
Reference URL	https://collections.lib.utah.edu/ark:/87278/s6sj1p7z/13602