• ANALYTICAL SOLUTION OF BOUNDARY VALUE PROBLEM IN REACTIVE GAS ABSORPTION

P. Felicia Shirly, S. Narmatha, L. Rajendran*

Abstract


A mathematical model of reactive gas absorption is restudied in this paper. Here He’s Homotopy perturbation method is implemented to find the analytical solutions of system of steady-state non-linear reaction diffusion equations containing a non-linear term related to reactive gas absorption. Analytical expressions for concentrations of the gas and liquid reactants have been derived for small values of Hatta number M and all values of parameters rq, a0, α, β and Ω. Analytical expression of reaction (enhancement) factor for non-volatile and volatile liquid reactant also derived. The Homotopy perturbation method which produces the solutions in terms of convergent series requires no linearization. These analytical results are compared with numerical results and are found to be in good agreement.


Keywords


Reactive gas absorption, Reaction/diffusion equation, Mathematical modeling, Homotopy perturbation method, Non-linear boundary value problem.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter
https://journals.zetech.ac.ke/scatter-hitam/https://silasa.sarolangunkab.go.id/swal/https://sipirus.sukabumikab.go.id/storage/uploads/-/sthai/https://sipirus.sukabumikab.go.id/storage/uploads/-/stoto/https://alwasilahlilhasanah.ac.id/starlight-princess-1000/https://www.remap.ugto.mx/pages/slot-luar-negeri-winrate-tertinggi/https://waper.serdangbedagaikab.go.id/storage/sgacor/https://waper.serdangbedagaikab.go.id/public/images/qrcode/slot-dana/https://siipbang.katingankab.go.id/storage_old/maxwin/https://waper.serdangbedagaikab.go.id/public/img/cover/10k/https://waper.serdangbedagaikab.go.id/storage/app/https://waper.serdangbedagaikab.go.id/storage/idn/