An engineering system approach of 2-D cylindrical model of transient mass balance calculations of ozone and other concerned chemicals along with fourteen photolysis, ozone-generating and ozone-depleting chemical reaction equations was developed, validated, and used for studying the ozone concentrations, distribution and peak of the layer, ozone depletion and total ozone abundance in the stratosphere. The calculated ozone concentrations and profile at both the Equator and a 60˚N location were found to follow closely with the measured data. The calculated average ozone concentration was within 1% of the measured average, and the deviation of ozone profiles was within 14%. The monthly evolution of stratospheric ozone concentrations and distribution above the Equator was studied with results discussed in details. The influences of slow air movement in both altitudinal and radial directions on ozone concentrations and profile in the stratosphere were explored and discussed. Parametric studies of the influences of gas diffusivities of ozone D<sub>O3</sub> and active atomic oxygen D<sub>O</sub> on ozone concentrations and distributions were also studied and delineated. Having both influences through physical diffusion and chemical reactions, the diffusivity (and diffusion) of atomic oxygen D<sub>O</sub> was found to be more sensitive and important than that of ozone D<sub>O3</sub> on ozone concentrations and distribution. The 2-D ozone model present in this paper for stratospheric ozone and its layer and depletion is shown to be robust, convenient, efficient, and executable for analyzing the complex ozone phenomena in the stratosphere.
Salawitch, R.J., McBride, L.A., Thompson, C.R., Fleming, E.L., McKenzie, R.L., Rosenlof, K.H., Doherty, S.J. and Fahey, D.W. (2023) Twenty Questions and Answers about the Ozone Layer: 2022 Update, Scientific Assessment of Ozone Depletion: 2022. World Meteorological Organization, UNEP, NOAA, NASA, and EC, Geneva, 75 pp.
Wei, L., Alelmi, I. and Nieh, S. (2023) Calculations of Stratospheric Ozone and Effects of Diffusivity. Atmospheric and Climate Sciences , 13, 385-400. https://doi.org/10.4236/acs.2023.133021
U.S. Environmental Protection Agency (2019) Ozone Layer Protection. https://www.epa.gov/ozone-layer-protection
Anwar, F., Chaudhry, F., Nazeer, S., Zaman, N. and Azam, S. (2016) Causes of Ozone Layer Depletion and Its Effects on Human. Atmospheric and Climate Sciences , 6, 129-134. https://doi.org/10.4236/acs.2016.61011
Earth System Research Laboratory (2019) The NOAA Ozone Depleting Gas Index: Guiding Recovery of the Ozone Layer. https://www.esrl.noaa.gov/gmd/odgi/
Wei, L., Alelmi, I. and Nieh, S. (2024) Effects of Chlorine and Chlorine Monoxides on Stratospheric Ozone Depletion. Atmospheric and Climate Sciences , 14, 136-153. https://doi.org/10.4236/acs.2024.141009
Alelmi, I., Wei, L. and Nieh, S. (2023) Modelling, Validation, and Calculations of Stratospheric Ozone Dynamics and Latitudinal Changes. Journal of Environmental Science and Engineering , B12, 265-279. https://doi.org/10.17265/2162-5263/2023.06.003
Molina, M.J. and Rowland, F.S. (1974) Stratospheric Sink for Chlorofluoromethanes: Chlorine Atom-Catalysed Destruction of Ozone. Nature , 249, 810-812. https://doi.org/10.1038/249810a0
Newman, P.A. and Lait, L.R. (2023) NASA Ozone Watch-Images, Data, and Information for Atmospheric Ozone. NASA-Goddard Space Flight Center, Greenbelt. https://ozonewatch.gsfc.nasa.gov/scripts/big_image.php?date=2023-05-18&hem=s§ion=home
Chapman, S. (1930) A Theory of Upper Atmospheric Ozone. Memoirs of the Royal Meteorological Society , 3, 103-125.
Steed, J.M., Owens, A.J., Miller, C., Filkin, D.L. and Jesson, J.P. (1982) Two-Dimensional Modelling of Potential Ozone Perturbation by Chlorofluorocarbons. Nature , 295, 308-311. https://doi.org/10.1038/295308a0
Vupputuri, R.K.R. (1989) 2-D Model Simulations of Anomalous Spring Variations of Ozone, Temperature and Other Minor Trace Constituents in the Southern Polar Region. Atmosphere - Ocean , 27, 728-738. https://doi.org/10.1080/07055900.1989.9649364
Grooß, J., Brühl, C. and Peter, T. (1998) Impact of Aircraft Emissions on Tropospheric and Stratospheric Ozone. Part I: Chemistry and 2-D Model Results. Atmo s pheric Environment , 32, 3173-3184. https://doi.org/10.1016/S1352-2310(98)00016-8
Holton, J.R. and Wehrbein, W.M. (1980) A Numerical Model of the Zonal Mean Circulation of the Middle Atmosphere. Pure and Applied Geophysics , 118, 284-306. https://doi.org/10.1007/BF01586455
Waugh, D.W., Oman, L., Newman, P.A., et al . (2009) Effect of Zonal Asymmetries in Stratospheric Ozone on Simulated Southern Hemisphere Climate Trends. Ge o physics Research Letter , 36, L18701. https://doi.org/10.1029/2009GL040419
Coopmann, O., Fourrié, N. and Guidard, V. (2022) Analysis of MTG-IRS Observations and General Channel Selection for Numerical Weather Prediction Models. Quarterly Journal of the Royal Meteorological Society , 148, 1864-1885. https://doi.org/10.1002/qj.4282
Balashov, N.V., Thompson, A.M. and Young, G.S. (2017) Probabilistic Forecasting of Surface Ozone with a Novel Statistical Approach. Journal of Applied Meteorology and Climatology , 56, 297-316. https://doi.org/10.1175/JAMC-D-16-0110.1
Fogler, H.S. (2006) Elements of Chemical Reaction Engineering (Prentice-Hall International Series in the Physical and Chemical Engineering Sciences). 4th Edition, Pearson, Upper Saddle River, New Jersey.
Chakrabarti, A.K., De Obeso, A., Gürmen, N.M. and Fogler, H.S. (2021) The Kinetics of Ozone Depletion. University of Michigan, Ann Arbor. http://websites.umich.edu/~elements/6e/web_mod/ozone/index.htm
Cooper, C.D. and Alley, F.C. (2011) Chapter 16: Control of Nitrogen Oxides. In: Cooper, C.D. and Alley, F.C., Eds., Air Pollution Control : A Design Approach , 4th Edition, Waveland Press, Prospect Heights, 523-555.
Chen, J.R. and Nieh, S. (1995) SO 2 and NO x Control in a Pulverized Coal-Fired Vortex Combustor. Proceedings of the 20 th International Technical Conference on Coal Utilization and Fuel Systems , Clearwater, 20-23 March 1995, 311-322.
Salman, A.K., Pouyaei, A., Choi, Y., Lops, Y. and Sayeed, A. (2022) Deep Learning Solver for Solving Advection-Diffusion Equation in Comparison to Finite Difference Methods. Communications in Nonlinear Science and Numerical Simulation , 115, Article 106780. https://doi.org/10.1016/j.cnsns.2022.106780
Brasseur, G. and Soloman, S. (1986) Aeronomy of the Middle Atmosphere. D. Reidel Publishing Company, Dordrecht.
Mori, C. and Romão, E.C. (2021) Numerical Simulation by Finite Difference Method of 2D Convection-Diffusion in Cylindrical Coordinates. https://www.researchgate.net/publication/306318916_numerical_simulation_by_finite_difference_method_of_2d_convection-diffusion_in_cylindrical_coordinates
Buckman, N.M. (2016) The Linear Convection-Diffusion Equation in Two Dimensions. Massachusetts Institute of Technology Course 18.303 Linear Partial Differential Equations, Cambridge.
Tang, Q., Prather, M.J., Hsu, J., Ruiz, D.J., Cameron-Smith, P.J., Xie, S. and Golaz, J.C. (2016) Evaluation of the Interactive Stratospheric Ozone (O3v2) Module in the E3SM Version 1 Earth System Model. Geoscientific Model Development , 14, 1219-1236. https://doi.org/10.5194/gmd-14-1219-2021