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
THERMAL SCIENCE YEAR
2020, VOLUME
24, ISSUE
Issue 4, PAGES [2515 - 2518]
- 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
- 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
- Wu, Y., He, J. H., A Remark on Samuelson's Variational Principle in Economics, Applied Mathematics Letters, 84 (2018), Oct., pp. 143-147
- 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
- He, J. H., Generalized Equilibrium Equations for Shell Derived from a Generalized Variational Principle, Applied Mathematics Letters, 64 (2017), Feb., pp. 94-100
- He, J. H., Hamilton's Principle for Dynamical Elasticity, Applied Mathematics Letters, 72 (2017), Oct., pp. 65-69
- He, J. H., Variational Principles for Some Nonlinear Partial Differential Equations with Variable Coefficients, Chaos, Solitons & Fractals, 19 (2004), 4, pp. 847-851
- Li, X. W., et al., On the semi-Inverse Method and Variational Principle, Thermal Science, 17 (2013), 5, pp. 1565-1568
- 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
- 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
- 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
- Wang, Y., et al., A Variational Formulation for Anisotropic Wave Traveling in a Porous Medium, Fractals, 27 (2019), 4, 1950047
- Wang, K. L., He, C. H., A Remark on Wang's Fractal Variational Principle, Fractals, 27 (2019), 8, ID 1950134
- He, J. H., Sun, C., A Variational Principle for a Thin Film Equation, Journal of Mathematical Chemistry. 57 (2019), 9, pp. 2075-2081
- He, J. H., Generalized Variational Principles for Buckling Analysis of Circular Cylinders, Acta Mechanica, 231 (2019), 1-8, pp. 899-906
- 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
- 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
- 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
- He, J. H., Fractal Calculus and Its Geometrical Explanation, Results in Physics, 10 (2018), Sept., pp. 272-276
- 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
- He, J. H., Ji, F. Y., Two-Scale Mathematics and Fractional Calculus for Thermodynamics, Thermal Science, 23 (2019), 4, pp. 2131-2133
- Ain, Q. T., He, J. H., On Two-Scale Dimension and Its Applications, Thermal Science, 23 (2019), 3B, pp. 1707-1712
- He, C. H., et al., Taylor Series Solution for Fractal Bratu-Type Equation Arising in Electrospinning Pro-cess, Fractals, 28 (2019), 1, 2050011
- Wang, Q. L., et al., Fractal Calculus and Its Application to Explanation of Biomechanism of Polar Bear hairs, Fractals, 26 (2018), 6, 1850086
- Wang, Y., Deng, Q., Fractal Derivative Model for Tsunami Travelling, Fractals, 27 (2019), 1, 1950017
- 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
- Wang,Y., et al., A Variational Formulation for Anisotropic Wave Traveling in a Porous Medium, Fractals, 27 (2019), 4, 1950047
- 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