Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method

T Liu - Chaos, Solitons & Fractals, 2022 - Elsevier
Fluid-saturated porous media are two-phase media, which are composed of solid and liquid
phases. Biot theory for fluid-saturated porous media holds that underground media are …

[HTML][HTML] Solution of different geometries reflected reactors neutron diffusion equation using the homotopy perturbation method

M Shqair - Results in Physics, 2019 - Elsevier
Abstract The Homotopy Perturbation Method (HPM) proves continuous efficiency for a long
time in solving linear and nonlinear mathematical differential equations and their …

[HTML][HTML] Time-dependent heat transfer calculations with Trefftz and Picard methods for flow boiling in a mini-channel heat sink

M Piasecka, S Hożejowska, B Maciejewska… - Energies, 2021 - mdpi.com
The intensification of heat transfer using two-phase boiling flow in mini-channels is widely
used to dissipate the high heat fluxes in miniaturized electronic devices. However, the …

[HTML][HTML] Cauchy type nonlinear inverse problem in a two-layer area

M Ciałkowski, A Olejnik, M Joachimiak… - International Journal of …, 2022 - emerald.com
Purpose To reduce the heat load of a gas turbine blade, its surface is covered with an outer
layer of ceramics with high thermal resistance. The purpose of this paper is the selection of …

Trefftz method in an inverse problem of two-phase flow boiling in a minichannel

L Hożejowski, S Hożejowska - Engineering Analysis with Boundary …, 2019 - Elsevier
The paper discusses the application of the Trefftz method for solving a coupled inverse
problem concerning heat conduction and flow boiling. The T-complete functions were …

The Study of the Onset of Flow Boiling in Minichannels: Time-Dependent Heat Transfer Results

B Maciejewska, M Piasecka… - Heat Transfer Engineering, 2021 - Taylor & Francis
The paper describes the results of boiling heat transfer during FC-72 flow in minichannels,
obtained on the basis of time-dependent experiments. The main goal of the work was to …

Time-dependent study of boiling heat transfer coefficient in a vertical minichannel

B Maciejewska, M Piasecka - … Journal of Numerical Methods for Heat …, 2020 - emerald.com
Purpose The purpose of this paper is to determine the time-dependent heat transfer
coefficient during FC-72 flow boiling in a 1.7-mm-deep vertical and asymmetrically heated …

[HTML][HTML] Developing a new approaching technique of homotopy perturbation method to solve two-group reflected cylindrical reactor

M Shqair - Results in Physics, 2019 - Elsevier
The solution of neutron diffusion equation is important to describe the behavior of the
neutrons in the nuclear reactors. The essential cylindrical reactor geometry will be studied in …

The solution of nonlinear direct and inverse problems for beam by means of the Trefftz functions

A Maciag, A Pawinska - European Journal of Mechanics-A/Solids, 2022 - Elsevier
Mathematical modelling makes it possible to analyse physical phenomena which are
frequently described by non-linear differential equations. Those equations can be solved by …

Identification of the heat transfer coefficient during cooling process by means of Trefftz method

K Grysa, A Maciag, A Cebo-Rudnicka… - … Analysis with Boundary …, 2018 - Elsevier
In the article, the Trefftz method, belonging to the analytical-numerical methods, was used to
identify the heat transfer coefficient for Inconel during spray cooling at the part of boundary …