APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION

A. Dhaundiyal; S. B. Singh

APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION

Abstract

The paper focuses to explain the in uence of some relevant parameters of biomass pyrolysis on the numerical solution of isothermal nth order distributed activation energy model DAEM . The upper limit of \dE", the frequency factors, the reaction order, the shape and location parameters of the Weibull distribution are studied. These parameters have been used for estimating the kinetic parameters of the isothermal Weibull DAEM from thermo analytical data of loose biomass. Moreover, asymptotic approach has been adopted to nd the solution of DAEM.

Keywords

Pyrolysis,distributed activation energy model DAEM,isothermal kinetics,asymptotic solution,Weibull distribution.

References

Di Blasi C. (2008). Modeling chemical and physical processes of wood and biomass pyrolysis, Progress in Energy and Combustion Science, 34 (1): 47-90.
White J.E., Catallo W.J., Legendre, B.L. (2011) Biomass pyrolysis kinetics: A comparative critical review with relevant ... Journal of Analytical and Applied Pyrolysis, 91 (1): 133.
Khawam A. and Flanagan D.R. (2006). Solid-state kinetic models: Basics and mathematical funda- mentals, Journal of Physical Chemistry B, 110 (35): 17315-17328.
V´arhegyi, G. (2007) Aim and methods in non-isothermal reaction kinetics. Journal of Analytical and Applied Pyrolysis, 79(12), 278288. 38.
Paik P., Kar K. K. (2009). Thermal degradation kinetics and estimation of lifetime of polythene particles: effects of particle size, Materials Chemistry and Physics, 113 (2-3): 953-961.
Miura, K. (1995). A New and Simple Method to Estimate f (E) and k0(E) in the Distributed Activa- tion Energy Model from Three Sets of Experimental Data, Energy and Fuel, 9(2): 302-307
Vyazovkin S, Wight C.A. (1999). Model-free and model-fitting approaches to kinetic analysis of isothermal and nonisothermal data. Thermochim Acta. 340-341: 53-68.
Aboyade, A. O., Hugo, T. J., Carrier, M., Meyer, E. L., Stahl, R., Knoetze, J. H., G¨orgens, J. F. (2011). Non-isothermal kinetic analysis of the devolatilization of corn cobs and sugar cane bagasse in an inert atmosphere, Thermochimica Acta 517 (1):81-89.

Nowicki, L., Stolarek, P., Olewski, T., Bedyk, T., Ledakowicz, S. (2008), Mechanism and kinetics of sewage sludge pyrolysis by thermogravimetry and mass spectrometry analysis, Chemical and Process Engineering, 29(1):813-825
Barneto, A. G., Carmona, J. A., Alfonso, J. E. M., Blanco,J. D.(2009). Kinetic models based in biomass components for the combustion and pyrolysis of sewage sludge and its compost, Journal of
Analytical and Applied Pyrolysis 86 (1): 108-114. Mangut, V., Sabio, E., Ga˜n´an, J., Gonz´alez, J. F., Ramiro, A., Gonz´alez, C. M., Rom´an, S., Al-Kassir, A. (2006). Thermogravimetric study of the pyrolysis of biomass residues from tomato processing industry, Fuel Processing Technology, 87 (2): 109-115
G¨unes M., Gnes S. (2002) A direct search method for determination of DAEM kinetic parameters from nonisothermal TGA data (note). Appl. Math. Computation, 130(2): 619628
Miura, K., Maki, T. A. (1998). Simple Method for Estimating f (E) and k0(E) in the Distributed
Activation Energy Model, Energy & Fuels, 12(5): 864-869. Sonobe, T., Worasuwannarak, N. (2008). Kinetic analyses of biomass pyrolysis using the distributed activation energy model. Fuel, 87:414-421
Li, Z., Liu, C., Chen, Z., Qian, J., Zhao, W., Zhu, Q. (2009). Analysis of coals and biomass pyrolysis using the distributed activation energy model. Bioresource Technol. 100: 948-952.
Yan JH, Zhu HM, Jiang XG, Chi Y, Cen KF. (2009). Analysis of volatile species kinetics during typical medical waste materials pyrolysis using a distributed activation energy model. J Hazard Material, 162: 651
Quan, C., Li, A., Gao, N. (2009). Thermogravimetric analysis and kinetic study on large particles of printed circuit board wastes, Waste Management 29(8): 23532360
Skrdla P.J. and Roberson R.T. (2005). Semiempirical equations for modeling solid-state kinetics based on a Maxwell-Boltzmann distribution of activation energies: applications to a polymorphic transfor- mation under crystallization slurry conditions and to the thermal decomposition of AgMnO4crystals. J. Phys. Chem. B, 109: 10611-10619.
Howard J.B., in Chemistry of Coal Utilization, (M.A.Elliott, Ed) Wiley & Sons (1981) Ch. 12.
Suuberg E.M. (1983). Approximate solution technique for nonisothermal, Gaussian distributed acti- vation energy models, Combust. Flame, 50:243-245
Pitt G.J. (1962). The kinetics of the evolution of volatile products from coal. Fuel 1:267 (1962).
Vand V. (1943). A theory of the irreversible electrical resistance changes of metallic films evaporated in vacuum, Proc. Phys. Soc. (London). (1943). A55:222
Dhaundiyal A. and Singh S.B. (2016). Distributed activation energy modelling for pyrolysis of forest waste using Gaussian distribution,Proceedings of the Latvian Academy of Sciences. Section B. Natural,Exact, and Applied Sciences, 70(2): 6470

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

A. Dhaundiyal This is me

S. B. Singh This is me

Publication Date

June 1, 2018

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2018 Volume: 8 Number: 1

IZ

https://izlik.org/JA37MY93MB

Cite

RIS / Bibtex

APA

Dhaundiyal, A., & Singh, S. B. (2018). APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION. TWMS Journal of Applied and Engineering Mathematics, 8(1), 8-19. https://izlik.org/JA37MY93MB

AMA

1.Dhaundiyal A, Singh SB. APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION. JAEM. 2018;8(1):8-19. https://izlik.org/JA37MY93MB

Chicago

Dhaundiyal, A., and S. B. Singh. 2018. “APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION”. TWMS Journal of Applied and Engineering Mathematics 8 (1): 8-19. https://izlik.org/JA37MY93MB.

EndNote

Dhaundiyal A, Singh SB (June 1, 2018) APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION. TWMS Journal of Applied and Engineering Mathematics 8 1 8–19.

IEEE

[1]A. Dhaundiyal and S. B. Singh, “APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION”, JAEM, vol. 8, no. 1, pp. 8–19, June 2018, [Online]. Available: https://izlik.org/JA37MY93MB

ISNAD

Dhaundiyal, A. - Singh, S. B. “APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION”. TWMS Journal of Applied and Engineering Mathematics 8/1 (June 1, 2018): 8-19. https://izlik.org/JA37MY93MB.

JAMA

1.Dhaundiyal A, Singh SB. APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION. JAEM. 2018;8:8–19.

MLA

Dhaundiyal, A., and S. B. Singh. “APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION”. TWMS Journal of Applied and Engineering Mathematics, vol. 8, no. 1, June 2018, pp. 8-19, https://izlik.org/JA37MY93MB.

Vancouver

1.A. Dhaundiyal, S. B. Singh. APPROXIMATION TO DISTRIBUTED ACTIVATION ENERGY MODEL FOR RESIDUAL LOGGING OF CEDRUS DEODORA USING WEIBULL DISTRIBUTION. JAEM [Internet]. 2018 Jun. 1;8(1):8-19. Available from: https://izlik.org/JA37MY93MB