...Chandra Sekhar Mahato; Siddhartha Biswas Purpose This paper is concerned with the study of the propagation of Rayleigh waves in a homogeneous isotropic, generalized thermoelastic medium with mass diffusion and double porosity structure using the theoretical framework of three-phase-lag model...

...Devender Sheoran; Ramesh Kumar; Sunil Kumar; Kapil Kumar Kalkal Purpose The purpose of this paper is to study the reflection of plane waves in an initially stressed rotating thermoelastic diffusive medium with micro-concentrations and two-temperature. Design/methodology/approach A two...

...Renato M Cotta; Carolina Palma Naveira-Cotta; Diego C. Knupp Purpose – The purpose of this paper is to propose the generalized integral transform technique (GITT) to the solution of convection-diffusion problems with nonlinear boundary conditions by employing the corresponding nonlinear...

...X. Li; N. Massarotti; P. Nithiarasu; D.P. Zielinski; V.R. Voller Purpose The purpose of this paper is to develop an alternative numerical approach for describing fractional diffusion in Cartesian and non‐Cartesian domains using a Monte Carlo random walk scheme. The resulting domain shifting scheme...

...Alper Korkmaz; İdris Dağ Purpose Cubic B‐spline differential quadrature methods have been introduced. As test problems, two different solutions of advection‐diffusion equation are chosen. The first test problem, the transportion of an initial concentration, and the second one, the distribution...

...Tony W.H. Sheu; S.H. Kuo; R.K. Lin Purpose A convection‐diffusion‐reaction scheme is proposed in this study to simulate the high gradient electroosmotic flow behavior in microchannels. The equations governing the total electric field include the Laplace equation for the effective electrical...

...Stephen Brill; Eric Smith Purpose The purpose of this paper is to present the analytical solution to the Hermite collocation discretization of a quadratically forced steady‐state convection‐diffusion equation in one spatial dimension with constant coefficients, defined on a uniform mesh...

...A.B. Mahmud Hasan; M.A. Wahab; S.M. Guo Purpose The purpose of this paper is to present the results of analysis of the transport gases and liquid water between the gas diffusion layer (GDL) and gas flow channel (GFC) of proton exchange membrane fuel cells (PEMFCs). These results are then used...

... process, a non‐ideal Cu‐Al interface is constructed by simulating diffusion bonding. Findings According to the simulation results, in unsteady state, the temperature distribution and the displacements of atoms near the interface tend to generate stress and voids. It reveals the damage mechanics...

...Q. Du; D.G. Eskin; L. Katgerman Purpose The purpose of this paper is to investigate the ways to diminish or eliminate numerical diffusion and dispersion. Numerical dispersion and diffusion are present in the predicted macrosegregation profiles reported in the literature and they hinder...

...R.R. Gondim; E.N. Macedo; R.M. Cotta Purpose This paper seeks to analyze transient convection‐diffusion by employing the generalized integral transform technique (GITT) combined with an arbitrary transient filtering solution, aimed at enhancing the convergence behavior of the associated...

... Emerald Group Publishing Limited 2007 Turbulence Shearing Jets Diffusion C empirical constant d nozzle diameter D diffusivity m decay exponent n integer constant s auxiliary variable (time) S strain...

...Vaughan Voller; Robert Vertnik; Božidar Šarler Purpose The purpose of this paper is to develop a new local radial basis function collocation method (LRBFCM) for one‐domain solving of the non‐linear convection‐diffusion equation, as it appears in mixture continuum formulation of the energy...

... that upstream diffusion has an important effect near the inlet of the heating region. As a result, both the wall shear stress and the Nusselt number are affected upstream of the heating zone. Flow reversal occurs of GF≥9 × 10⁵. The shape and size of the region with negative velocities depends...

...Christos Kavouklis; Graham F. Carey This study is concerned with linear feedback control in finite element modeling of transient convection‐diffusion in an incompressible fluid. Our aim is to introduce a linear feedback that solves the corresponding tracking problem for any sufficiently smooth...

...E.J. Corrêa; R.M. Cotta; H.R.B. Orlande Analytical or hybrid numerical‐analytical solutions of multidimensional diffusion problems involve the evaluation of nested multiple infinite summations, which require the computation of eigenvalues and related quantities, from associated auxiliary eigenvalue...

...Y.C. LI This paper presents approximate analytical solutions for the diffusion problems of a cylindrical hole in an infinite medium and a slot in an infinite medium with properly prescribed boundary conditions and initial conditions. These solutions have much simpler forms than those of exact...

...L. De Biase; F. Feraudi; V. Pennati A new finite volume (FV) method is proposed for the solution of convection‐diffusion equations defined on 2D convex domains of general shape. The domain is approximated by a polygonal region; a structured non‐uniform mesh is defined; the domain is partitioned...

...R.L. McAdie; J.T. Cross; R.W. Lewis; D.T. Gethin A rigorous Finite Element (FE) formulation based on an enthalpy technique is developed for solving coupled nonlinear heat conduction/mass diffusion problems with phase change. The FE formulation consists of a fully coupled heat conduction and solute...