Formulation and solution of the initial boundary-value problem of heat conduction in solids have been presented when an entropy generation minimization principle is imposed as the arbitrary constraint. Using an entropy balance equation and the Euler-Lagrange variational approach a new form of the heat conduction equation (non-linear partial difference equation) is derived
A generalization of the classical Coleman–Noll procedure for the exploitation of second law of ther...
Heat transfer is the exchange of heat energy between two bodies. There are three different modes of ...
The current numerical investigation aims at analyzing the effect of variable thermal conductivity on...
The evolution of the entropy production in solids due to heat transfer is usually associated with th...
An alternative and consistent approach, not appealing to the principle of virtual power and to Colem...
Studying heat conduction problems in linear and quasilinear ranges for stationary state one can be c...
The heat-balance integral method of Goodman is studied with two simple 1-D heat conduction problems ...
The rate of entropy generation is used to estimate the average error of approximate numerical solut...
peer reviewedWe propose a variational principle applicable to the heat-transport equations derived s...
This study addresses the entropy generation in heat conduction, accompanied by melting/solidificatio...
Considering the model heat conduction problem in the setting of Grad's moment equations, we demonstr...
A method of analysis is described which yields closed-form solutions for two-dimensional heat conduc...
The accuracy of approximate calculations of transient temperature distributions in solids is studied...
A mathematical model of the process of unsteady thermal conductivity of solids is proposed in the ca...
We discuss the principle of minimum entropy production as proposed by Prigogine, providing two examp...
A generalization of the classical Coleman–Noll procedure for the exploitation of second law of ther...
Heat transfer is the exchange of heat energy between two bodies. There are three different modes of ...
The current numerical investigation aims at analyzing the effect of variable thermal conductivity on...
The evolution of the entropy production in solids due to heat transfer is usually associated with th...
An alternative and consistent approach, not appealing to the principle of virtual power and to Colem...
Studying heat conduction problems in linear and quasilinear ranges for stationary state one can be c...
The heat-balance integral method of Goodman is studied with two simple 1-D heat conduction problems ...
The rate of entropy generation is used to estimate the average error of approximate numerical solut...
peer reviewedWe propose a variational principle applicable to the heat-transport equations derived s...
This study addresses the entropy generation in heat conduction, accompanied by melting/solidificatio...
Considering the model heat conduction problem in the setting of Grad's moment equations, we demonstr...
A method of analysis is described which yields closed-form solutions for two-dimensional heat conduc...
The accuracy of approximate calculations of transient temperature distributions in solids is studied...
A mathematical model of the process of unsteady thermal conductivity of solids is proposed in the ca...
We discuss the principle of minimum entropy production as proposed by Prigogine, providing two examp...
A generalization of the classical Coleman–Noll procedure for the exploitation of second law of ther...
Heat transfer is the exchange of heat energy between two bodies. There are three different modes of ...
The current numerical investigation aims at analyzing the effect of variable thermal conductivity on...