In several areas of
engineering, it is
possible to put real problems in mathematical functions; when we represent a problem with variables in the
form of function, we were
able to extract various information from it. This paper compared two different
mathematical methods, being the finite difference method and the Fourth Order
Range-Kutta method, to analyze the concentration and temperature of the water
flow inside a tubular reactor. These results were compared with the analytical
and experimental results of the problem, demonstrating that the Fourth Order
Range-Kutta method was more advantageous than the finite difference method.
Cite this paper
Miranda, D. A. D. , Cristofolini, R. , Corazza, E. J. , Santos, G. J. D. and Amaral, C. E. D. (2018). Comparison of Mathematical Methods to Obtain Concentration and Temperature of Newtonian Fluids in Tubular Reactors. Open Access Library Journal, 5, e4329. doi: http://dx.doi.org/10.4236/oalib.1104329.
Wachs, A., Clermont, J.R. and Khalifeh, A. (2002) Computations of Non-Isothermal Viscous and Viscoelastic Flows in a Brupt Contractions Using a Finite Volume Method. Engineering Computations, 19, 874-901.
Yongson, O., Irfan, A.B., Zainala, Z.A. and Narayana, P.A.A. (2007) Airflow Analysis in an Air Conditioning Room. Building and Environment, 42, 1531-1537. https://doi.org/10.1016/j.buildenv.2006.01.002
Mikielewicz, D.P., Shehata, A.M., Jackson, J.D. and McEligot, D.M. (2002) Temperature, Velocity and Mean Turbulence Structure in Strongly Heated Internal Gas Flows. International Journal of Heat and Mass Transfer, 45, 4333-4352. https://doi.org/10.1016/S0017-9310(02)00119-9
Satake, S.I., Kunugi, T., Shehata, A.M. and McEligot, D.M. (2000) Direct Numerical Simulation for Laminarization of Turbulent Forced Gas Flows in Circular Tubes with Strong Heating. International Journal of Heat and Fluid Flow, 21, 526-534. https://doi.org/10.1016/S0142-727X(00)00041-2
Dukler, A.E. and Hubbard, M.G. (1975) A Model for Gas-Liquid Slug Flow in Horizontal and Near Horizontal Tubes. Industrial & Engineering Chemistry Fundamentals, 14, 337-347. https://doi.org/10.1021/i160056a011
Burchard, H., Deleersnijder, E. and Meister, A. (2003) A High-Order Conservative Patankar-Type Discretisation for Stiff Systems of Production-Destruction Equations. Applied Numerical Mathematics, 47, 1-30.