..., conservation of energy, heat conduction and electric circuit. Design/methodology/approach The method provides appropriate representation of the solutions in convergent series formula with accurately computable components. This representation is given in the W(Ω) and H(Ω...

...Hosein Molavi; Javad Rezapour; Sahar Noori; Sadjad Ghasemloo; Kourosh Amir Aslani Purpose The purpose of this paper is to present novel search formulations in gradient‐type methods for prediction of boundary heat flux distribution in two‐dimensional nonlinear heat conduction problems. Design...

.... As the next example, we consider the one‐dimensional heat equation with the given boundary conditions. Thus, we test the new algorithm on the heat equation with classic boundary conditions, which can be considered as a special case of the model investigated in this report. Consider the nonhomogeneous...

...Mohamed A. Mansour; Mohamed M. Abd‐Elaziz; Ramadan Abdalla; Sameh Elsayed Purpose The purpose of this paper is to deal with unsteady double diffusive natural convection in a square enclosure filled with a porous medium with various boundary condition effects in the presence of heat source or sink...

...J. Irša; A.N. Galybin Purpose The purpose of this paper is to consider reconstructions of potential 2D fields from discrete measurements. Two potential processes are addressed, steady flow and heat conduction. In the first case, the flow speed and streamlines are determined from the discrete data...

..., the variational iteration and homotopy perturbation methods are used to obtain a solution of a fractional diffusion equation. © Emerald Group Publishing Limited 2010 Differential equations Iterative methods Flow Heat Numerical analysis A fractional diffusion‐wave equation is a linear...

...Simon D. Harris; Derek B. Ingham; Ioan Pop Purpose The purpose of this paper is to present a numerical and an analytical study of the fluid flow and heat transfer in the unsteady, laminar boundary layer resulting from the forced convection flow along a semi‐infinite wedge, where the transients...

... a bispherical coordinates system. The inner sphere is heated by a heat flux of constant density and the outer one is maintained isothermal. Design/methodology/approach The transfer equations are written by using a bispherical coordinates system. The Navier‐Stokes equations are solved and coupled...

...O.D. Makinde Purpose The hydromagnetic mixed convection flow of an incompressible viscous electrically conducting fluid and mass transfer over a vertical porous plate with constant heat flux embedded in a porous medium is investigated. Design/methodology/approach Using the Boussinesq...

...Evgeny Shavelzon; Dan Givoli Purpose The interaction of a global model (GM) and a local (regional) model (LM) of heat flow is considered under the framework of so‐called “one‐way nesting”. In this framework, the GM is constructed in a large domain with coarse discretization in space and time...

... have been neglected. Hence, the purpose of this paper is to investigate the simultaneous effects of varying viscosity and thermal conductivity on free convection flow of a viscous incompressible electrically conducting fluid and heat transfer along an isothermal vertical non‐conducting plate...

...Huanxin Lai; Yuying Yan; Keqi Wu Purpose This paper aims to develop a numerical method for analysing the time‐dependent conjugate heat and fluid flows inside and around single bubbles rising in a hot liquid. Design/methodology/approach The procedure combines the moving mesh method for flows...

...Hussein Bazzi; Cong Tam Nguyen; Nicolas Galanis This work is concerned with the problem of the transient behaviours of the axisymmetric thermocapillary laminar flow occurring inside a half zone subjected to a variable thermal boundary condition during a heating process. The molten liquid with its...

... Finite element Heat Fluid The current issue and full text archive of this journal is available at httpwww.emerald-library.com HFF 9,5 612 Received April 1998 Revised March 1999 Accepted April 1999 Finite element simulation of transient natural convection of low-Prandtl-number fluids in heated cavity...