THERMAL SCIENCE

International Scientific Journal

A VARIATIONAL PRINCIPLE FOR THE PHOTOCATALYTIC NOX ABATEMENT

ABSTRACT
Numerical study of NOx abatement in a photocatalytic reactor has been caught much attention recently. There are two ways for the numerical simulation, one is the CFD model, the other is the variational-based approach. The latter leads to a conservation algorithm with less requirement for the trial functions in the numerical study. In this paper we establish a variational principle for the problem, giving an alternative numerical method for NOx abatement.
KEYWORDS
PAPER SUBMITTED: 2019-04-05
PAPER REVISED: 2019-10-28
PAPER ACCEPTED: 2019-10-28
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004515L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE 4, PAGES [2515 - 2518]
REFERENCES
  1. Lira, de O. B., et al., Photocatalytic NOx Abatement: Mathematical Modeling, CFD Validation and Reactor Analysis, Journal of Hazardous Materials, 372 (2019), June, pp. 145-153
  2. Liu, G. L., Variable-Domain Variational Finite Element Method: A General Approach to Free/Moving Boundary Problems in Heat and Fluid Flow, Nonlinear Analysis: Theory, Methods & Applications, 30 (1997), 8, pp. 5229-5239
  3. Wu, Y., He, J. H., A Remark on Samuelson's Variational Principle in Economics, Applied Mathematics Letters, 84 (2018), Oct., pp. 143-147
  4. He, J. H., An Alternative Approach to Establishment of a Variational Principle for the Torsional Problem of Piezoelastic Beams, Applied Mathematics Letters, 52 (2016), Feb., pp. 1-3
  5. He, J. H., Generalized Equilibrium Equations for Shell Derived from a Generalized Variational Principle, Applied Mathematics Letters, 64 (2017), Feb., pp. 94-100
  6. He, J. H., Hamilton's Principle for Dynamical Elasticity, Applied Mathematics Letters, 72 (2017), Oct., pp. 65-69
  7. He, J. H., Variational Principles for Some Nonlinear Partial Differential Equations with Variable Coefficients, Chaos, Solitons & Fractals, 19 (2004), 4, pp. 847-851
  8. Li, X. W., et al., On the semi-Inverse Method and Variational Principle, Thermal Science, 17 (2013), 5, pp. 1565-1568
  9. He, J. H., Semi-Inverse Method and Generalized Variational Principles with Multi-Variables in Elasticity, Applied Mathematics and Mechanics, 21 (2000), 7, pp. 797-808
  10. He, J. H., A Modified Li-He's Variational Principle for Plasma, International Journal of Numerical Methods for Heat and Fluid Flow, On-line first, doi.org/10.1108/HFF-06-2019-0523, 2019
  11. He, J. H., Lagrange Crisis and Generalized Variational Principle for 3D unsteady flow, International Journal of Numerical Methods for Heat and Fluid Flow, On-line first, doi.org/10.1108/HFF-07-2019-0577, 2019
  12. Wang, Y., et al., A Variational Formulation for Anisotropic Wave Traveling in a Porous Medium, Fractals, 27 (2019), 4, 1950047
  13. Wang, K. L., He, C. H., A Remark on Wang's Fractal Variational Principle, Fractals, 27 (2019), 8, ID 1950134
  14. He, J. H., Sun, C., A Variational Principle for a Thin Film Equation, Journal of Mathematical Chemistry. 57 (2019), 9, pp. 2075-2081
  15. He, J. H., Generalized Variational Principles for Buckling Analysis of Circular Cylinders, Acta Mechanica, 231 (2019), 1-8, pp. 899-906
  16. He, J. H., A Fractal Variational Theory for One-Dimensional Compressible Flow in a Microgravity Space, Fractals, On-line first, doi.org/10.1142/SO218348X20500243, 2019
  17. He, J. H., Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves, J. Appl. Comput. Mech., 6 (2020), 4, pp. 735-740
  18. Li, X. J., He, J. H., Variational Multi-Scale Finite Element Method for the Twophase Flow of Polymer Melt Filling Process, International Journal of Numerical Methods for Heat & Fluid Flow, On-line first, doi.org/10.1108/HFF-07-2019-0599
  19. He, J. H., Fractal Calculus and Its Geometrical Explanation, Results in Physics, 10 (2018), Sept., pp. 272-276
  20. Li, X. X., et al., A Fractal Modification Of The Surface Coverage Model For An Electrochemical Arsenic Sensor, Electrochimica Acta, 296 (2019), Feb., pp. 491-493
  21. He, J. H., Ji, F. Y., Two-Scale Mathematics and Fractional Calculus for Thermodynamics, Thermal Science, 23 (2019), 4, pp. 2131-2133
  22. Ain, Q. T., He, J. H., On Two-Scale Dimension and Its Applications, Thermal Science, 23 (2019), 3B, pp. 1707-1712
  23. He, C. H., et al., Taylor Series Solution for Fractal Bratu-Type Equation Arising in Electrospinning Pro-cess, Fractals, 28 (2019), 1, 2050011
  24. Wang, Q. L., et al., Fractal Calculus and Its Application to Explanation of Biomechanism of Polar Bear hairs, Fractals, 26 (2018), 6, 1850086
  25. Wang, Y., Deng, Q., Fractal Derivative Model for Tsunami Travelling, Fractals, 27 (2019), 1, 1950017
  26. He, J. H., A Simple Approach to One-Dimensional Convection-Diffusion Equation and Its Fractional Modification for E Reaction Arising in Rotating Disk Electrodes, Journal of Electroanalytical Chemistry, 854 (2019), Dec., 113565
  27. Wang,Y., et al., A Variational Formulation for Anisotropic Wave Traveling in a Porous Medium, Fractals, 27 (2019), 4, 1950047
  28. Zhang, J. J., et al., Some Analytical Methods for Singular Boundary Value Problem in a Fractal Space, Appl. Comput. Math., 18 (2019), 3, pp. 225-235

© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence