A review and solutions of some problems in heat conduction with internal body interactions
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The University of Dodoma
Abstract
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Dissertation (MA Mathematics)
Present work determined with analytical solution of steady state one-dimensional heat conduction problems in cylindrical and spherical coordinates and simplifications of general forms of heat equation are often possible. Also, discussed on Newton's law of cooling on two ways conduction and radiation the result obtained that Newton's law of cooling is consequence of conduction and not radiation. Through internal body interactions in cylindrical coordinates with boundary conditions the governing equations and solutions of temperature distribution is obtained.
Present work determined with analytical solution of steady state one-dimensional heat conduction problems in cylindrical and spherical coordinates and simplifications of general forms of heat equation are often possible. Also, discussed on Newton's law of cooling on two ways conduction and radiation the result obtained that Newton's law of cooling is consequence of conduction and not radiation. Through internal body interactions in cylindrical coordinates with boundary conditions the governing equations and solutions of temperature distribution is obtained.
Keywords
Analytical solution, Newton's law, Conduction, Internal body, Temperature distribution, Heat equation, Radiation