A Good Approximate Solution of Heat Conduction Equations in Cylindrical Coordinates Composite Media.(Dept.P)

2021 ◽  
Vol 23 (2) ◽  
pp. 1-10
Author(s):  
S. Behiry ◽  
B. Abdel-Hamid ◽  
M. Helal
Keyword(s):  
Approximate Solution ◽  
Heat Conduction ◽  
Composite Media ◽  
Cylindrical Coordinates

Approximate solution of some nonlinear problems of heat conduction theory

1969 ◽  
Vol 17 (5) ◽  
pp. 1420-1423
Author(s):  
A. N. Luppov ◽  
B. G. Ogloblin
Keyword(s):  
Approximate Solution ◽  
Heat Conduction ◽  
Nonlinear Problems ◽  
Conduction Theory

Transient Conduction From Parallel Isothermal Cylinders

2012 ◽  
Vol 134 (12) ◽  
Author(s):  
Rajai S. Alassar
Keyword(s):  
Heat Transfer ◽  
Fourier Series ◽  
Heat Conduction ◽  
Energy Equation ◽  
Transient Heat Conduction ◽  
Infinite Medium ◽  
Basis Functions ◽  
Cylindrical Coordinates ◽  
Transient Conduction ◽  
Isothermal Cylinders

The transient heat conduction from two parallel isothermal cylinders is studied using the naturally fit bipolar cylindrical coordinates system. The energy equation is expanded in a Fourier series using appropriate basis functions to eliminate one of the physical coordinates. The resulting modes of the expansion are solved using a finite difference scheme. It is shown that, as is the case with a single isothermal cylinder in an infinite medium, steady states for two isothermal cylinders are not possible and heat transfer changes indefinitely with time.

scholarly journals The Approximate Solution of Dual Integral Equations by Variational Methods

1958 ◽  
Vol 11 (2) ◽  
pp. 115-126 ◽  
Author(s):  
B. Noble
Keyword(s):  
Approximate Solution ◽  
Variational Methods ◽  
Integral Equations ◽  
Separation Of Variables ◽  
Circular Disc ◽  
Cylindrical Coordinates ◽  
Dual Integral Equations ◽  
Particular Solution ◽  
Image Position

The classic application of dual integral equations occurs in connexion with the potential of a circular disc (e.g. Titchmarsh (9), p. 334). Suppose that the disc lies in z = 0, 0≤ρ≤1, where we use cylindrical coordinates (p, z). Then it is required to find a solution ofsuch that on z = 0Separation of variables in conjunction with the conditions that ø is finite on the axis and ø tends to zero as z tends to plus infinity yields the particular solution.

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.

Improved Lumped-Differential Models for Transient Heat Conduction in Multilayered Composite Media

2004 ◽  
Author(s):  
Jian Su ◽  
Djane R. Cerqueira
Keyword(s):  
Heat Conduction ◽  
Nuclear Power ◽  
Power Plants ◽  
Transient Heat Conduction ◽  
Heat Fluxes ◽  
Composite Media ◽  
Multilayered Composite ◽  
Lumped Parameter ◽  
Fuel Dynamics ◽  
Dynamics Calculation

In this paper we present improved lumped-differential formulations for one-dimensional transient heat conduction in multilayered composite media. Hermite approximations for integrals are used to obtain the average temperatures and heat fluxes in each layer. Average temperatures calculated with improved lumped parameter formulation agree well with reference finite difference solutions. The proposed heat conduction models can be used in fuel dynamics calculation for stability analysis of BWR, simplified model of PWR or real-time simulator of nuclear power plants.

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