Approximate solution of heat-conduction and thermoelasticity problems taking account of the inhomogeneity of the medium

1980 ◽  
Vol 16 (5) ◽  
pp. 376-381 ◽  
Author(s):  
B. M. Lisitsyn ◽  
K. B. Bulyga
Keyword(s):  
Approximate Solution ◽  
Heat Conduction

scholarly journals Approximate solution for fractional Burgers equation with variable coefficient using Daftardar-Gejji-Jafaris method

2018 ◽  
Vol 22 (4) ◽  
pp. 1607-1611
Author(s):  
Yinhong Xia
Keyword(s):  
Approximate Solution ◽  
Heat Conduction ◽  
Variable Coefficient ◽  
Burgers Equation ◽  
Variable Coefficients

A fractional Burgers equation with variable coefficients is studied, which can describe heat conduction in nanomaterials with intermittent property. The equation is solved analytically by Daftardar-Gejji-Jafaris method.

Pressurization of a Solidifying Sphere

1972 ◽  
Vol 39 (1) ◽  
pp. 71-77 ◽  
Author(s):  
K. H. Hsiao ◽  
J. E. Cox ◽  
P. G. Hedgcoxe ◽  
L. C. Witte
Keyword(s):  
Aluminum Alloy ◽  
Approximate Solution ◽  
Heat Conduction ◽  
Thermal Stress ◽  
Steady State ◽  
Heat Conduction Problem ◽  
Solid Shell ◽  
Stress Distributions ◽  
Dimensionless Form ◽  
Molten Material

The pressurization in a solidifying sphere of molten material (initially at a uniform melting temperature) immersed in an infinite cooling medium is presented. The steady-state approximate solution applied to the heat-conduction problem with change of phase (the Stefan problem) provides the temperature distribution in the shell and rate of solidification, which can be employed in the evaluation of the pressurization stress and thermal stress distributions in the solid shell. Stress distributions are evaluated and plotted in dimensionless form. Additional results are presented for the specific case of aluminum alloy.

scholarly journals Enthalpy method for one dimensional heat conduction

2018 ◽  
Vol 7 (2.14) ◽  
pp. 9
Author(s):  
Farah Suraya Md Nasrudin ◽  
Shafaruniza Mahadi
Keyword(s):  
Approximate Solution ◽  
Heat Conduction ◽  
Temperature Distribution ◽  
Finite Difference Method ◽  
Moving Boundary ◽  
Nonlinear Differential Equations ◽  
Melting Process ◽  
Technical Grade ◽  
One Dimensional ◽  
Enthalpy Method

In this paper, the Enthalpy Method is employed to compute an approximate solution of the system of nonlinear differential equations focusing on the simulation of moving boundary for one dimensional heat conduction. This paper is only considered in the problem of a technical grade paraffin’s melting process. In order to seek the solution in term of temperature distribution, Finite Difference Method will be used. The results obtained are compared between solving with enthalpy and without enthalpy. The enthalpy method is more versatile, convenient, adaptable and easily programmable.  

Sign in / Sign up

Export Citation Format

Share Document