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Academic literature on the topic 'Integral equation theories'

Author: Grafiati

Published: 7 December 2024

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Journal articles on the topic "Integral equation theories"

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Song, Junyan. "On Diophantine equation xb=Dy." Theoretical and Natural Science 13, no. 1 (November 30, 2023): 232–36. http://dx.doi.org/10.54254/2753-8818/13/20240852.

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Diophantine equation is an important part of the number theory and it has been widely studied for a long time. There are many studies on solving the integral solutions of Diophantine equations using algebraic methods. This paper uses documentation method, sums up the results of research in different documents of finding the integral solutions of some Diophantine equations in various conditions, especially the utilization of theories on Pell equation, which in the form of xb=Dy. This paper mainly considers the situations when a =2 or a=3, which is a particular type of Diophantine equation. Several of the studies focus on the same equation but using different ways. Also, some subsequent studies on different equations are based on the former theorems provided by other writers and expand these theorems to broader applications. In order to emphasize the theorems obtained by the essays quoted and the methods the authors used, most of the mathematical procedures in their proofs are omitted.

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Cann, N. M. "Improvement of integral equation theories for mixtures." Journal of Chemical Physics 110, no. 23 (June 15, 1999): 11466–83. http://dx.doi.org/10.1063/1.479088.

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Paci, I., and N. M. Cann. "Integral equation theories for orientionally ordered fluids." Journal of Chemical Physics 119, no. 5 (August 2003): 2638–57. http://dx.doi.org/10.1063/1.1585017.

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Pádua, A. A. H., and J. P. M. Trusler. "Application of integral equation theories to the nitrogen molecule." Journal of Chemical Physics 105, no. 14 (October 8, 1996): 5956–67. http://dx.doi.org/10.1063/1.472436.

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Liu, Yi, and Toshiko Ichiye. "Integral equation theories for predicting water structure around molecules." Biophysical Chemistry 78, no. 1-2 (April 1999): 97–111. http://dx.doi.org/10.1016/s0301-4622(99)00008-3.

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El-Karamany, A. S. "Boundary Integral Equation Formulation in Generalized Linear Thermo-Viscoelasticity With Rheological Volume." Journal of Applied Mechanics 70, no. 5 (September 1, 2003): 661–67. http://dx.doi.org/10.1115/1.1607354.

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A general model of generalized linear thermo-viscoelasticity for isotropic material is established taking into consideration the rheological properties of the volume. The given model is applicable to three generalized theories of thermoelasticity: the generalized theory with one (Lord-Shulman theory) or with two relaxation times (Green-Lindsay theory) and with dual phase-lag (Chandrasekharaiah-Tzou theory) as well as to the dynamic coupled theory. The cases of thermo-viscoelasticity of Kelvin-Voigt model or thermoviscoelasticity ignoring the rheological properties of the volume can be obtained from the given model. The equations of the corresponding thermoelasticity theories result from the given model as special cases. A formulation of the boundary integral equation (BIE) method, fundamental solutions of the corresponding differential equations are obtained and an example illustrating the BIE formulation is given.

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Gumede, Sfundo C., Keshlan S. Govinder, and Sunil D. Maharaj. "First Integrals of Shear-Free Fluids and Complexity." Entropy 23, no. 11 (November 19, 2021): 1539. http://dx.doi.org/10.3390/e23111539.

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A single master equation governs the behaviour of shear-free neutral perfect fluid distributions arising in gravity theories. In this paper, we study the integrability of yxx=f(x)y2, find new solutions, and generate a new first integral. The first integral is subject to an integrability condition which is an integral equation which restricts the function f(x). We find that the integrability condition can be written as a third order differential equation whose solution can be expressed in terms of elementary functions and elliptic integrals. The solution of the integrability condition is generally given parametrically. A particular form of f(x)∼1x51−1x−15/7 which corresponds to repeated roots of a cubic equation is given explicitly, which is a new result. Our investigation demonstrates that complexity of a self-gravitating shear-free fluid is related to the existence of a first integral, and this may be extendable to general matter distributions.

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Tejero, C. F., and E. Lomba. "Density-dependent interactions and thermodynamic consistency in integral equation theories." Molecular Physics 107, no. 4-6 (February 20, 2009): 349–55. http://dx.doi.org/10.1080/00268970902776765.

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Pellicane, Giuseppe, Lloyd L. Lee, and Carlo Caccamo. "Integral-equation theories of fluid phase equilibria in simple fluids." Fluid Phase Equilibria 521 (October 2020): 112665. http://dx.doi.org/10.1016/j.fluid.2020.112665.

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Huš, Matej, Matja Zalar, and Tomaz Urbic. "Correctness of certain integral equation theories for core-softened fluids." Journal of Chemical Physics 138, no. 22 (June 14, 2013): 224508. http://dx.doi.org/10.1063/1.4809744.

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Dissertations / Theses on the topic "Integral equation theories"

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Lue, Leo. "Integral equation theories for complex fluids." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/36441.

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Misin, Maksim. "Can approximate integral equation theories accurately predict solvation thermodynamics." Thesis, University of Strathclyde, 2016. http://digitool.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=27856.

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The thesis focuses on the prediction of solvation thermodynamics using integral equation theories. Our main goal is to improve the approach using a rational correction. We achieve it by extending recently introduced pressure correction, and rationalizing it in the context of solvation entropy. The improved model (to which we refer as advanced pressure correction) is rather universal. It can accurately predict solvation free energies in water at both ambient and non-ambient temperatures, is capable of addressing ionic solutes and salt solutions, and can be extended to non-aqueous systems. The developed approach can be used to model processes in biological systems, as well as to extend related theoretical models further.

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Kasahara, Kento. "Integral Equation Theories of Diffusion and Solvation for Molecular Liquids." Kyoto University, 2018. http://hdl.handle.net/2433/232056.

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Tomazic, Daniel [Verfasser], Stefan M. [Akademischer Betreuer] Kast, and Roland [Gutachter] Winter. "Optimizing free energy functionals in integral equation theories / Daniel Tomazic. Betreuer: Stefan M. Kast. Gutachter: Roland Winter." Dortmund : Universitätsbibliothek Dortmund, 2016. http://d-nb.info/1112327142/34.

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Hunt, Cynthia Young. "An Existence Theorem for an Integral Equation." Thesis, North Texas State University, 1985. https://digital.library.unt.edu/ark:/67531/metadc503874/.

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The principal theorem of this thesis is a theorem by Peano on the existence of a solution to a certain integral equation. The two primary notions underlying this theorem are uniform convergence and equi-continuity. Theorems related to these two topics are proved in Chapter II. In Chapter III we state and prove a classical existence and uniqueness theorem for an integral equation. In Chapter IV we consider the approximation on certain functions by means of elementary expressions involving "bent line" functions. The last chapter, Chapter V, is the proof of the theorem by Peano mentioned above. Also included in this chapter is an example in which the integral equation has more than one solution. The first chapter sets forth basic definitions and theorems with which the reader should be acquainted.

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Mattsson, Peter Aake. "Integrable quantum field theories, in the bulk and with a boundary." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4225/.

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In this thesis, we consider the massive field theories in 1+1 dimensions known as affine Toda quantum field theories. These have the special property that they possess an infinite number of conserved quantities, a feature which greatly simplifies their study, and makes extracting exact information about them a tractable problem. We consider these theories both in the full space (the bulk) and in the half space bounded by an impenetrable boundary at x = 0. In particular, we consider their fundamental objects: the scattering matrices in the bulk, and the reflection factors at the boundary, both of which can be found in a closed form. In Chapter 1, we provide a general introduction to the topic before going on, in Chapter 2, to consider the simplest ATFT—the sine-Gordon model—with a boundary. We begin by studying the classical limit, finding quite a clear picture of the boundary structure we can expect in the quantum case, which is introduced in Chapter 3. We obtain the bound-state structure for all integrable boundary conditions, as well as the corresponding reflection factors. This structure turns out to be much richer than had hitherto been imagined. We then consider more general ATFTs in the bulk. The sine-Gordon model is based on a(^(1))(_1), but there is an ATFT for any semi-simple Lie algebra. This underlying structure is known to show up in their S-matrices, but the path back to the parameters in the Lagrangian is still unclear. We investigate this, our main result being the discovery of a "generalised bootstrap" equation which explicitly encodes the Lie algebra into the S-matrix. This leads to a number of new S-matrix identities, as well as a generalisation of the idea that the conserved charges of the theory form an eigenvector of the Cartan matrix. Finally our results are summarised in Chapter 5, and possible directions for further study are highlighted.

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Lau, Yuk-kam. "Some results on the mean square formula for the riemann zeta-function /." [Hong Kong] : University of Hong Kong, 1993. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13762394.

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Lepeltier, Philippe. "Le dipole imprime alimente par couplage electromagnetique avec une ligne microruban : analyse au moyen des equations integrales." Rennes, INSA, 1986. http://www.theses.fr/1986ISAR0001.

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Determination des fonctions de green des structures microrubans bicouches, calculees a l'aide de la theorie des milieux stratifies, et des densites de courant de surfaces qui sont evaluees par la methode des moments. Ainsi, l'impedance d'entree de l'antenne et son diagramme de rayonnement s'obtiennent facilement. Mise en evidence et quantification du rayonnement parasite

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Lau, Yuk-kam, and 劉旭金. "Some results on the mean square formula for the riemann zeta-function." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31211586.

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Lee, Kai-yuen, and 李啟源. "On the mean square formula for the Riemann zeta-function on the critical line." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2010. http://hub.hku.hk/bib/B44674405.

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Books on the topic "Integral equation theories"

1

Puoskari, Mauri. Integral equation theories of simple classical and bose liquids. Oulu, Finland: Computer Services Center and Division of Theoretical Physics, Department of Physical Sciences, University of Oulu, 1997.

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O'Regan, Donal. Existence theory for nonlinear integral and integrodifferential equations. Dordrecht: Kluwer Academic Press, 1998.

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Hackbusch, W. Integralgleichungen: Theorie und Numerik. Stuttgart: B.G. Teubner, 1989.

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Pipkin, A. C. A course on integral equations. New York: Springer-Verlag, 1991.

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Pipkin, A. C. A course on integral equations. New York: Springer-Verlag, 1991.

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Carmona, R. Nonlinear stochastic integrators, equations, and flows. New York: Gordon and Breach Science Publishers, 1990.

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Askhabov, S. N. Singuli︠a︡rnye integralʹnye uravnenii︠a︡ i uravnenii︠a︡ tipa svertki s monotonnoĭ nelineĭnostʹi︠u︡: Monografii︠a︡. Maĭkop: Izd-vo MGTU, 2004.

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Xing-Chang, Song, ed. Integrable systems. Singapore: World Scientific, 1990.

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Ibort, L. A. Integrable Systems, Quantum Groups, and Quantum Field Theories. Dordrecht: Springer Netherlands, 1993.

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Orlik, Lyubov', and Galina Zhukova. Operator equation and related questions of stability of differential equations. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1061676.

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The monograph is devoted to the application of methods of functional analysis to the problems of qualitative theory of differential equations. Describes an algorithm to bring the differential boundary value problem to an operator equation. The research of solutions to operator equations of special kind in the spaces polutoratonny with a cone, where the limitations of the elements of these spaces is understood as the comparability them with a fixed scale element of exponential type. Found representations of the solutions of operator equations in the form of contour integrals, theorems of existence and uniqueness of such solutions. The spectral criteria for boundedness of solutions of operator equations and, as a consequence, sufficient spectral features boundedness of solutions of differential and differential-difference equations in Banach space. The results obtained for operator equations with operators and work of Volterra operators, allowed to extend to some systems of partial differential equations known spectral stability criteria for solutions of A. M. Lyapunov and also to generalize theorems on the exponential characteristic. The results of the monograph may be useful in the study of linear mechanical and electrical systems, in problems of diffraction of electromagnetic waves, theory of automatic control, etc. It is intended for researchers, graduate students functional analysis and its applications to operator and differential equations.

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Book chapters on the topic "Integral equation theories"

1

Schweizer, Kenneth S., and John G. Curro. "Integral Equation Theories of the Structure, Thermodynamics, and Phase Transitions of Polymer Fluids." In Advances in Chemical Physics, 1–142. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2007. http://dx.doi.org/10.1002/9780470141571.ch1.

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Bomont, Jean-Marc. "Recent Advances in the Field of Integral Equation Theories: Bridge Functions and Applications to Classical Fluids." In Advances in Chemical Physics, 1–84. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2008. http://dx.doi.org/10.1002/9780470259498.ch1.

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Gorenflo, Rudolf, and Sergio Vessella. "Existence and uniqueness theorems." In Abel Integral Equations, 83–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0084671.

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Henderson, Douglas. "Integral Equations for Inhomogeneous Fluids." In Condensed Matter Theories, 427–33. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-2934-7_37.

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Volchkov, V. V. "Gap Theorems." In Integral Geometry and Convolution Equations, 366–77. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9_29.

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Volchkov, V. V. "Morera Type Theorems." In Integral Geometry and Convolution Equations, 378–89. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0023-9_30.

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Lienert, Matthias. "Probability Conservation for Multi-time Integral Equations." In Fundamental Theories of Physics, 231–47. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-45434-9_17.

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Laurita, C., G. Mastroianni, and M. G. Russo. "Revisiting CSIE in L2: Condition Numbers and Inverse Theorems." In Integral and Integrodifferential Equations, 159–84. London: CRC Press, 2000. http://dx.doi.org/10.1201/9781482287462-13.

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Elliott, D. "Convergence Theorems for Singular Integral Equations." In Numerical Solution of Integral Equations, 309–61. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4899-2593-0_6.

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D’Auria, R., and S. Ferrara. "Picard-Fuchs Equations and Low Energy Couplings in Superstring Theories." In Integrable Quantum Field Theories, 99–118. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_8.

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Conference papers on the topic "Integral equation theories"

1

El-Karamany, Ahmed S. "Boundary Integral Equation Formulation in Generalized Linear Thermo-Viscoelasticity With Rheological Volume." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32235.

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A general model of generalized linear thermo-viscoelasticity for isotropic material is established taking into consideration the rheological properties of the volume. As special cases the corresponding equations for the coupled thermo-viscoelasticity and the generalized thermo-viscoelasticity with one (Lord-Shulman theory) or with two relaxation times (Green-Lindsay theory) are obtained. The cases of thermo-viscoelasticity ignoring the rheological properties of volume can be obtained from the given model. The equations of the corresponding thermoelasticity theories result from the given model as special cases. A formulation of the boundary integral equation method, fundamental solutions of the corresponding differential equations are obtained and the dynamic reciprocity theorem is derived for this general model. Generalizations of Somiliana’s –Green and Maysels formulas are obtained. An example illustrating the BIE formulation is given. Special emphasis is given to the representation of primary fields, namely temperature and displacement.

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Buryachenko, Valeriy A. "Micromechanical Background of Random Structure Thermoperistatic Composites." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51161.

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In contrast to the classical local and nonlocal theories, the peridynamic equation of motion introduced by Silling (J. Mech. Phys. Solids 2000; 48: 175–209) is free of any spatial derivatives of displacement. The new general integral equations (GIE) connecting the displacement fields in the point being considered and the surrounding points of random structure composite materials (CMs) is proposed. For statistically homogemneous thermoperistatic media subjected to homogeneous volumetric boundary loading, one proved that the effective behaviour of this media is governing by conventional effective constitutive equation which is intrinsic to the local thermoelasticity theory. It was made by the most exploitation of the popular tools and concepts used in conventional thermoelasticity of CMs and adapted to thermoperistatics. The general results establishing the links between the effective properties (effective elastic moduli, effective thermal expansion) and the corresponding mechanical and transformation influence functions are obtained by the use of decomposition of local fields into the load and residual fields similarly to the locally elastic CMs. This similarity opens a way for straightforward expansion of analytical micromechanics tools for locally elastic CMs to the new area of random structure peridynamic CMs. Detailed numerical examples for 1D case are considered.

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Askari, Hassan, Zia Saadatnia, Davood Younesian, and Ebrahim Esmailzadeh. "Large Amplitude Free Vibration Analysis of Nanotubes Using Variational and Homotopy Methods." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12185.

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Linear theories are basically unable to model the dynamic behavior of nanotubes due to the large deflection/dimension ratios. In this paper the closed form expressions are obtained for the large-amplitude free vibration of nanotubes. The nonlinear governing differential-integral equation of motion is derived and solved using the Galerkin approach. The derived nonlinear differential equation is then solved using the Variational Approach (VA) and the Homotopy Analysis Method (HAM). The fundamental harmonic as well as higher-order harmonics are analytically obtained. The approximate solutions are compared with those of the numerical responses and accordingly a numerical analysis is carried out. A parametric sensitivity analysis is carried out and different effects of the physical parameters and initial conditions on the natural frequencies are examined. It is found that both the variational analysis and homotopy method are quite consistent and satisfactory techniques to analyze the vibration of nanotubes.

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Manna, Miguel A. "The Euler equations in the columnar and rotational approximation: a model equation for asymptotic short capillary-gravity waves." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0026.

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Buryachenko, Valeriy A. "Micromechanics of Random Structure Thermoperistatic Composites." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65841.

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In contrast to the classical local and nonlocal theories, the peridynamic equation of motion introduced by Silling (J. Mech. Phys. Solids 2000; 48: 175–209) is free of any spatial derivatives of displacement. The new general integral equations (GIE) connecting the displacement fields in the point being considered and the surrounding points of random structure composite materials (CMs) is proposed. For statistically homogeneous thermoperistatic media subjected to homogeneous volumetric boundary loading, one proved that the effective behaviour of this media is governing by conventional effective constitutive equation which is intrinsic to the local thermoelasticity theory. It was made by the most exploitation of the popular tools and concepts used in conventional thermoelasticity of CMs and adapted to thermoperistatics. A generalization of the Hills equality to peri-static composites is proved. The classical representations of effective elastic moduli through the mechanical influence functions for elastic CMs are generalized to the case of peristatics, and the energetic definition of effective elastic moduli is proposed. The general results establishing the links between the effective properties (effective elastic moduli, effective thermal expansion) and the corresponding mechanical and transformation influence functions are obtained by the use of the decomposition of local fields into load and residual fields. Effective properties of thermoperistatic CM are expressed through the introduced local stress polarization tensor averaged over the extended inclusion phase. This similarity opens a way for straightforward expansion of analytical micromechanics tools for locally elastic CMs to the new area of random structure peri-dynamic CMs. Detailed numerical examples for 1D case are considered.

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Agrawal, Om P. "A Numerical Scheme and an Error Analysis for a Class of Fractional Optimal Control Problems." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87367.

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There has been a growing interest in recent years in the area of Fractional Optimal Control (FOC). In this paper, we present a formulation for a class of FOC problems, in which a performance index is defined as an integral of a quadratic function of the state and the control variables, and a dynamic constraint is defined as a Fractional Differential Equation (FDE) linear in both the state and the control variables. The fractional derivative is defined in the Caputo sense. In this formulation, the FOC problem is reduced to a Fractional Variational Problem (FVP), and the necessary differential equations for the problems are obtained using the recently developed theories for FVPs. For the numerical solutions of the problems, a direct approach is taken in which the solutions are approximated using a truncated Fractional Power Series (FPS). An error analysis is also performed. It is demonstrated that the solution converges from above in the sense that the value of the approximate performance index is always higher than the optimum performance index. An expression for the error in the performance index is also given. The application of a FPS and an optimality criterion reduces the FOC to a set of linear algebraic equations which are solved using a linear solver. It is demonstrated numerically that the solution converges as the number of terms in the series increases, and the approximate solution approaches to the analytical solution as the order of the fractional derivative approaches to an integer order derivative. Numerical results are presented to demonstrate the performance of the Formulation.

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Zhao, Chengbi, and Ming Ma. "A Hybrid 2.5D High Speed Strip Theory Method and its Application to Apply Pressure Loads to 3D Full Ship Finite Element Models." In SNAME Maritime Convention. SNAME, 2014. http://dx.doi.org/10.5957/smc-2014-t03.

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As the three-dimensional finite element model has become the de facto standard for ship structural design, interest in accurately transferring seakeeping loads to panel based structural models has increased dramatically in recent years. In today’s design practices, panel based hydrodynamic analyses are often used for mapping seakeeping loads to 3D FEM structural models. However, 3D panel based hydrodynamic analyses are computationally expensive. For monohull ships, methods based on strip theories have been successfully used in the industry for many years. They are computationally efficient, and provide good predictions for motions and hull girder loads. However, many strip theory methods provide only hull girder sectional forces and moments, such as vertical bending moment and vertical shear force, which are difficult to apply to 3D finite element structural models. Previously, the authors have proposed a hybrid strip theory method to transfer 2D strip theory based seakeeping loads to 3D finite element models. In the hybrid approach, the velocity potentials of strip sections are first calculated based on the ordinary 2D strip theories. The velocity potentials of a finite element panel are obtained from the interpolation of the velocity potentials of the strip sections. The panel pressures are then computed based on Bernoulli’s equation. Integration of the pressure over the finite element model wetted panels yields the hydrodynamic forces and moments. The equations of motion are then formulated based on the finite element model. The method not only produces excellent ship motion results, but also results in a perfectly balanced structural model. In this paper, the hybrid approach is extended to the 2.5D high speed strip theory. The simple Rankine source function is used to compute velocity potentials. The original linearized free surface condition, where the forward speed term is not ignored, is used to formulate boundary integral equations. A model based on the Series-64 hull form was used for validating the proposed hybrid method. The motion RAOs are in good agreement with VERES’s 2.5D strip theory and with experimental results. Finally, an example is provided for transferring seakeeping loads obtained by the 2.5D hybrid strip theory to a 3D finite element model.

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Koikawa, Takao. "Soliton equations by the noncommutative zero curvature formulation." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0021.

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Aratyn, Henrik, Jose Francisco Gomes, J. W. Van de Leur, and A. H. Zimerman. "WDVV equations, Darboux-Egoroff metric and the dressing method." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0046.

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Pant, Lalit M., Sushanta K. Mitra, and Marc Secanell. "Mass Transport Measurements in Porous Transport Layers of a PEM Fuel Cell." In ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2011. http://dx.doi.org/10.1115/icnmm2011-58181.

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Abstract:

Porous transport layers are an integral part of polymer electrolyte fuel cells (PEMFC). In order to optimize the catalyst layer performance and reduce catalyst consumption, a thorough understanding of mass transport through porous media is necessary. Currently, there is a lack of experimental measurements of effective mass transport properties of porous transport layers. Further, mass transport theories in the literature, such as the binary friction model by Kerkhof [1], have not been extensively validated for porous media. In the present study, mass transport measurements have been performed on the porous media of a PEMFC, namely a GDL and an MPL. The experimental setup described by Pant et al. [2] has been used. The setup uses the diffusion bridge/counter-diffusion technique for the mass transport measurements. The experimental setup has the advantage that it can be used to perform studies for pure diffusion and convection-diffusion mass transport. The setup also facilitates measurement of permeability of porous media, which can then be used in convection-diffusion studies. Preliminary permeability measurements of GDL and MPL from the setup show good agreement with values available in literature. In preliminary experimentation, the conventional diffusivity correlations like Bruggeman equation have been found to overpredict the diffusivities.

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