An approximate solution based on the heat balance integral equation for one-dimensional unsteady state heat flow in a semi-infinite slab and an infinite plate is discussed. The heat balance integral equation similar to Kármán's integral momentum equation for the boundary layer flow leads to the simplification of analysis on the heat conduction problems. Solutions for the temperature distribution and the heat transfer rate fit well with the exact solutions of the heat energy equation, or the diffusion equation
A new methodology for mathematical modeling of transient thermal processes in structural components ...
An anlytical solution to the transient one dimensional linear heat conduction with time varying boun...
A method of analysis is described which yields closed-form solutions for two-dimensional heat conduc...
An approximate solution based on the heat balance integral equation for one-dimensional unsteady sta...
A new simple analytical method for solving the problem of one-dimensional transient heat conduction ...
In this paper, the Transversal Method of Lines (TMOL) or Rothe's method is employed to obtain analyt...
The numerical results of a theoretical investigation of an explicit finite difference solution of th...
AbstractTwo-dimensional formulation of inhomogeneous unsteady-state heat conduction transfer problem...
A hyperbolic boundary value problem of the thermal conduction of a two-dimensional plate with the th...
The function of boundary temperature variation with time, f(t) is generally defined according to mea...
The work in this paper deals with the development of momentum and thermal boundary layers when a pow...
A generalized equation for the transient temperature response of a body, initially in equilibrium wi...
This article presents new semi-analytical solutions for transient heat conduction in a slab, which e...
We study heat transfer in one dimension with and without convection, also called advection-diffusion...
One needs know basic concepts involving termodynamics and heat transferThis Demonstration plots the ...
A new methodology for mathematical modeling of transient thermal processes in structural components ...
An anlytical solution to the transient one dimensional linear heat conduction with time varying boun...
A method of analysis is described which yields closed-form solutions for two-dimensional heat conduc...
An approximate solution based on the heat balance integral equation for one-dimensional unsteady sta...
A new simple analytical method for solving the problem of one-dimensional transient heat conduction ...
In this paper, the Transversal Method of Lines (TMOL) or Rothe's method is employed to obtain analyt...
The numerical results of a theoretical investigation of an explicit finite difference solution of th...
AbstractTwo-dimensional formulation of inhomogeneous unsteady-state heat conduction transfer problem...
A hyperbolic boundary value problem of the thermal conduction of a two-dimensional plate with the th...
The function of boundary temperature variation with time, f(t) is generally defined according to mea...
The work in this paper deals with the development of momentum and thermal boundary layers when a pow...
A generalized equation for the transient temperature response of a body, initially in equilibrium wi...
This article presents new semi-analytical solutions for transient heat conduction in a slab, which e...
We study heat transfer in one dimension with and without convection, also called advection-diffusion...
One needs know basic concepts involving termodynamics and heat transferThis Demonstration plots the ...
A new methodology for mathematical modeling of transient thermal processes in structural components ...
An anlytical solution to the transient one dimensional linear heat conduction with time varying boun...
A method of analysis is described which yields closed-form solutions for two-dimensional heat conduc...