Heat propagation in the Guyer–Krumhansl model is studied. The exact analytical solutions for the one-dimensional Guyer–Krumhansl equation are obtained. The operational formalism is employed. Some examples of initial functions are considered, modeling various initial heat pulses and distributions. The effect of the ballistic heat transfer in an over–diffusive regime is elucidated. The behavior o...

The convective-diffusion equation is the governing equation of many important transport phenomena in building physics. The paper deals in its first part with the general formulation of the convective-diffusion equation and with the numerical solution of this equation by means of the finite element method. The second part of the paper contains the analysis of one typical combined transport probl...

An optimal control problem for a nonlinear steady-state heat transfer model accounting for heat radiation effects is considered. The problem consists in minimization of a given cost functional by controlling the sources in the heat equation. The solvability of this control problem is proved, optimality conditions are derived, and an iterative algorithm for solving the optimal control problem is...

Bio BIO I'm a professional computational scientist. I specialize in simulations of complex multidimensional flows and transport (6 years), simulation of heat transfer (6 years), parallel computations in MPI (6 years), scientific visualization and data processing (6 years), simulations and mesh preparation in OpenFOAM (2 years), development in Wolfram Mathematica (6 years), Python and Fortran 90...

In this work, the characteristics of flow and heat transfer of a fluid containing nano particles of aluminum oxide with the water volume fraction (0.1-0.2-0.3)(V/V) percent of the reports. The overall heat transfer coefficient, heat transfer and the average heat transfer fluid containing nano water - aluminum oxide in a horizontal double pipe counter flow heat exchanger under turbulent flow con...

Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evalu...

Abstract Heat transfer in skin tissue is an area of interest for medical sciences. In this paper we intend to study fractional bioheat equation for heat transfer in skin tissue with constant and sinusoidal heat flux condition on skin surface. Numerical solutions are obtained by implicit finite difference method. We study the effect of anomalous diffusion in skin tissue and compare it with norma...