ABSTRACT:A mathematical model for the performance prediction of an industrial glass furnace with six ports on each side was developed. This model comprises of two main sub-models for the combustion chamber and glass-melting tank. The first sub-model consists of the models for the combustion and the heat transfer model including, radiation, convection and conduction. The fuel combustion in a...

Why heat and mass transfer ................................................................................................................................1 Fundamentals of heat transfer (what is it) ..........................................................................................................2 Thermodynamics of heat transfer ............................................................

Analytic solutions to the nonlinear radiation diffusion equation with an instantaneous point source for a non-homogeneous medium power law spatial density profile, are presented. The generalization of well known homogeneous medium. It is shown that take various qualitatively different forms according value exponent. These studied in detail linear and non heat conduction. In addition, by inspect...

In this paper numerical technique has been used to solve multidimensional unsteady state heat conduction equation with Dirichlet boundary conditions. We focus on finite volume numerical technique for solution of multidimensional time dependent heat conduction problems. Finally, the efficiency of this technique is tested for some heat conduction problems with known analytical solutions and the n...

Why heat and mass transfer ................................................................................................................................1 Fundamentals of heat transfer (what is it) ..........................................................................................................2 Thermodynamics of heat transfer ............................................................

Critical points arising in transonic flow profiles of the steady compressible Euler equations with heat conduction are investigated. Two examples of transonic flow profiles are studied, namely, radial outflow in a gravitational field, and flow in a quasi-one-dimensional nozzle. The stationary flow equations are reformulated in terms of a dynamical system that parametrizes the flow profiles. Add...

In this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such has various applications, for example physics, mechanical engineering, heat conduction theory. 
 First, show that our problem have mild soltution which exists locally in time. Then prove the convergence solution when parameter tends zero.

A transient inverse heat conduction problem focused on gas quenching of steel plates and rings is posed and solved, both analytically and numerically. The quenching objective is to calculate the transient convective heat transfer coefficient which would produce an optimized phase transformation cooling curve. The governing nonlinear heat equation is nondimensionalised, and a small parameter, th...