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Motivation#
Study hard what interests you the most in the most undisciplined, irreverent and original manner possible.
- Richard P. Feynman
This library is intended to support your learning of multicomponent mass transfer. The goal was to create a set of functions that are the essential building blocks with which you can play to get more intuition and understanding of quantities involved in multicomponent flows. With a fair amount of linear algebra and matrix operations, we paid special attention to document the equations along with the sizes of matrices. With these tools you can set-up your own problems such as the Stefan tube or the two-bulb diffusion without a whole lot of coding. We wish you a lot of joy in studying multicomponent mass transfer!
Credits#
Many materials helped in creating this library and we list them below. These are also great references to support your learning and broaden your knowledge!
[1]J. C. Sutherland - Multicomponent mass transfer course, CHEN-6603, The University of Utah, 2012[2]R. Taylor, R. Krishna - Multicomponent mass transfer, Wiley, 1993[3]R. B. Bird, W. E. Stewart, E. N. Lightfoot, D. J. Klingenberg - Introductory transport phenomena, Wiley, 2015[4]H. M. Shey - Div, Grad, Curl, and All that: An Informal Text on Vector Calculus, W.W. Norton & Company, 2005[5]A. Ern, V. Giovangigli - Multicomponent transport algorithms, Springer Science & Business Media, 1994[6]V. Giovangigli - Multicomponent flow modeling, Birkhäuser Boston, 1999[7]H. Brenner - Kinematics of volume transport, Physica A: Statistical Mechanics and its Applications, 349(1-2), pp.11-59[8]H. Brenner - Navier-Stokes revisited, Physica A: Statistical Mechanics and its Applications, 349(1-2), pp.60-132[9]H. T. Cullinan, Jr. - Analysis of the flux equations of multicomponent diffusion, Industrial & Engineering Chemistry Fundamentals, 4(2) (1965) 133-139[10]J. C. Sutherland, C. A. Kennedy - Improved boundary conditions for viscous, reacting, compressible flows, Journal of Computational Physics 191 (2003) 502-524[11]M. A. Hansen, J. C. Sutherland - On the consistency of state vectors and Jacobian matrices, Combustion and Flame 193 (2018) 257-271[12]J. C. Sutherland, P. J. Smith, J. H. Chen - Quantification of differential diffusion in nonpremixed systems, Combustion Theory and Modelling 9(2) (2005) 365-383[13]G. Sanderson - The diffusion equation
Documentation & User Guide#
Theory & Notation