adomian decomposition methodtwo-dimensional Heat flow equationIt is proposed that two dimensional heat flow equation can be solved by Adomian decomposition method (ADM).MANISH GOYALDepartment of Applied Sciences and HumanitiesActa Ciencia Indica
In this study, an alternative method is presented for the solution of two-dimensional heat equation in a square region. In this method, the solution function of the problem is based on the Green function, and therefore on elliptic functions. The numerical results have been computed for an appl...
This paper presents a model describing the flow field due to a two-dimensional infinitely long heat source in a stably-stratified atmosphere with a uniform wind cross-flow. The governing equation which is valid for any wind shear is non-linear in its general form and is solved for uniform ...
In this paper, a mixed finite element (FE) and differential quadrature (DQ) method as a simple, accurate and computationally efficient numerical tool for two dimensional transient heat transfer analysis of functionally graded materials (FGMs) is developed. The method benefits from the high accuracy,...
A two-dimensional mathematical model of heat transfer in three subsequent layers (sheet glass, heating foil, liquid) was proposed. Heat transfer in all these layers was described with the respective equations: Laplace equation, Poisson equation and energy equation, subject to boundary conditions ...
Pressure-induced shape and color changes and mechanical-stimulation-driven reverse transition in a one-dimensional hybrid halide ArticleOpen access06 August 2024 Introduction On the continuous booming of resource-lack and environmental decay of global warming, the present cooling technique, mainly based on...
The Navier Stokes equations along with the energy equation have been solved by using simple technique. The domain is discretized using 2626 elements and that corresponds to a total number of nodes 2842. The channel has a constant heat flux at the two walls and the threedimensional numerical ...
We study hydrodynamic phonon heat transport in two-dimensional (2D) materials. Starting from the Peierls-Boltzmann equation with the Callaway model approximation, we derive a 2D Guyer-Krumhansl-like equation describing hydrodynamic phonon transport, taking into account the quadratic dispersion of flexura...
Prediction of turbulent three-dimensional heat transfer of a heated blocks using low- Reynolds number two-equation model. Number Heat Transfer 26, 87±101.Y. Asako and M. Faghri "Prediction of turbulent three-dimensional heat transfer of heated blocks using low-Reynolds number two-equation ...
Finite element solution of three-dimensional incompressible fluid flow problems by a preconditioned conjugate residual method A new algorithm for the solution of the three-dimensional Navier-Stokes equation using the mixed formulation and an incomplete factorization technique is p... MP Robichaud,PA Tang...