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Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering > Engines & power transmission
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Thermal Quadrupoles - Solving the Heat Equation through Integral Transforms (Hardcover)
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Thermal Quadrupoles - Solving the Heat Equation through Integral Transforms (Hardcover)
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This superb text describes a novel and powerful method for allowing
design engineers to firstly model a linear problem in heat
conduction, then build a solution in an explicit form and finally
obtain a numerical solution. It constitutes a modelling and
calculation tool based on a very efficient and systemic
methodological approach.
Solving the heat equations through integral transforms does not
constitute a new subject. However, finding a solution generally
constitutes only one part of the problem. In design problems, an
initial thermal design has to be tested through the calculation of
the temperature or flux field, followed by an analysis of this
field in terms of constraints. A modified design is then proposed,
followed by a new thermal field calculation, and so on until the
right design is found. The thermal quadrupole method allows this
often painful iterative procedure to be removed by allowing only
one calculation.
The chapters in this book increase in complexity from a rapid
presentation of the method for one dimensional transient problems
in chapter one, to non uniform boundary conditions or inhomogeneous
media in chapter six. In addition, a wide range of corrected
problems of contemporary interest are presented mainly in chapters
three and six with their numerical implementation in MATLAB (r)
language. This book covers the whole scope of linear problems and
presents a wide range of concrete issues of contemporary interest
such as harmonic excitations of buildings, transfer in composite
media, thermal contact resistance and moving material heat
transfer. Extensions of this method to coupled transfers in a
semi-transparent medium and to mass transfer in porous media are
considered respectively in chapters seven and eight. Chapter nine
is devoted to practical numerical methods that can be used to
inverse the Laplace transform.
Written from an engineering perspective, with applications to real
engineering problems, this book will be of significant interest not
only to researchers, lecturers and graduate students in mechanical
engineering (thermodynamics) and process engineers needing to model
a heat transfer problem to obtain optimized operating conditions,
but also to researchers interested in the simulation or design of
experiments where heat transfer play a significant role.
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