Modeling the axial temperature distribution of a tongue of oxyacetylene flame

Author: 
KamaluC.I.O., OkereP.C., OrgaA.C., OpebiyiS.O., OnuC and ObijiakuJ.C

In this piece of work, two models (I and II) relating temperature distribution to the axial length in the flame are developed and compared. Experimental data from other researchers work on the internet were employed to validate the models through curve fitting using MATLAB toolbox 7.9. The result showed that model 15 is far better than model 11 as seen from their R2 of 0.9998 and 0.93254 respectively. Model 15 is also less cumbersome in derivation and development than model 11. It has a single equation as compared to a pair of equations of models 11,so that, its declared peak length is adjudged better than that of model 11 i.e. 2.262cm and 2.00014cm respectively all at the same peak temperature of 35000C. Model 13 fairly agrees with the so called Kamalu’s hypothesis in terms of peak length. The knowledge of the result of this work can be applied in the welding industry or wherever flame length is being determined.
Note: Kamalu (2009) hypothesis states that “the highest flame temperature occurs at 13/30 of the full flame length measured from the base of an unbiased flame cone”. A full flame length in this experiment is 5.1cm so that Xp= 13/30 (5.1) = 2.21cm.

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