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The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent'ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems
Heat --- Conduction of heat --- Conduction.
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Heat --- Conduction. --- Conduction of heat
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Heat transfer between two bodies in thermal contact is of fundamental importance in a wide variety of applications ranging from industrial and domestic processes to fundamental biology and chemistry. This book covers both the theoretical and practical aspects of thermal contact conductance. The theoretical discussion covers heat transfer through spots, joints, and surfaces, as well as the role of interstitial materials (both planned and inadvertent). The practical discussion includes formulae and data for use in designing heat-transfer equipment for a variety of joints, including special geometries and configurations.
Heat --- Surfaces (Technology) --- Materials --- Surface phenomena --- Friction --- Surfaces (Physics) --- Tribology --- Conduction of heat --- Conduction --- Surfaces --- Conduction.
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Heat --- Thin films. --- Conduction. --- Films, Thin --- Solid film --- Solid state electronics --- Solids --- Surfaces (Technology) --- Coatings --- Thick films --- Conduction of heat
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Dielectrics of solids --- Solids --- Heat --- Solides --- Chaleur --- Thermal properties --- Conduction --- Propriétés thermiques --- -Solids --- -536 --- Solid state physics --- Transparent solids --- Electromagnetic waves --- Physics --- Cold --- Combustion --- Fire --- Temperature --- Thermochemistry --- Thermodynamics --- Heat. Thermodynamics --- 536 Heat. Thermodynamics --- 536 --- Conduction of heat --- Solids - Thermal properties --- Heat - Conduction --- Conductivite thermique --- Dispersion --- Etat solide
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Thermodynamics --- Heat --- -519.6 --- 681.3 *G18 --- Electromagnetic waves --- Physics --- Cold --- Combustion --- Fire --- Temperature --- Thermochemistry --- Conduction --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Conduction. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.6 --- Conduction of heat --- Milieux continus, Mécanique des
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Structural analysis (Engineering) --- Finite element method --- Heat --- Conduction --- 517.96 --- -Structural analysis (Engineering) --- #KVIV --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Electromagnetic waves --- Physics --- Cold --- Combustion --- Fire --- Temperature --- Thermochemistry --- Thermodynamics --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Finite differences. Functional and integral equations --- Finite element method. --- Conduction. --- Structural analysis (Engineering). --- 517.96 Finite differences. Functional and integral equations --- Conduction of heat --- Heat - Conduction
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This book provides a detailed yet comprehensive presentation of the theory of periodic conjugate heat transfer. It contains an analytical approach to the effects of thermophysical and geometrical properties of a solid body on the experimentally determined heat transfer coefficient. The main objective of the book is a simplified description of the interaction between a solid body and a fluid as a boundary value problem of the heat conduction equation. This third and extended edition covers Wall's thermal effect on Landau stability, gas bubbles pulsations in fluids, and also the interplay between periodic conjugate heat transfer and non-Fourier heat conduction. The target audience primarily comprises research experts in the field of thermodynamics and fluid dynamics, but the book may also be beneficial for graduate students in engineering.
Engineering. --- Engineering mathematics. --- Thermodynamics. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Mathematical and Computational Engineering. --- Energy Systems. --- Applied and Technical Physics. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Engineering --- Engineering analysis --- Mathematical analysis --- Construction --- Industrial arts --- Technology --- Mathematics --- Transmission. --- Conduction. --- Conduction of heat --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Applied mathematics. --- Energy systems. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Mechanical engineering
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A new calculation method is presented for heat transfer in coupled convective-conductive fluid-wall systems under periodical intensity oscillations in fluid flow. It is demonstrated that the true steady-state mean value of the heat transfer coefficient has to be multiplied by a newly defined coupling factor. This correction factor is always smaller than one and depends on the coupling parameters Biot number, Fourier number as well as dimensionless geometry and oscillation parameters. For characteristic periodic heat transfer problems, analytical solutions are given for the coupling factor. To facilitate engineering application, the monograph also presents the analytical results in accompanying tables and diagrams.
Engineering. --- Thermodynamics. --- Electric power production. --- Physical measurements. --- Measurement. --- Computational intelligence. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Energy Technology. --- Computational Intelligence. --- Measurement Science and Instrumentation. --- Engineering, general. --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Heat --- Mechanical engineering --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Measuring --- Mensuration --- Mathematics --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement --- Electric power generation --- Electricity generation --- Power production, Electric --- Electric power systems --- Electrification --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat-engines --- Quantum theory --- Construction --- Industrial arts --- Transmission. --- Conduction. --- Convection. --- Convection of heat --- Conduction of heat --- Energy Systems. --- Energy systems. --- Measurement .
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This Second Edition for the standard graduate level course in conduction heat transfer has been updated and oriented more to engineering applications partnered with real-world examples. New features include: numerous grid generation--for finding solutions by the finite element method--and recently developed inverse heat conduction. Every chapter and reference has been updated and new exercise problems replace the old.
Thermodynamics --- 536.2 --- Heat --- -519.6 --- 681.3 *G18 --- Electromagnetic waves --- Physics --- Cold --- Combustion --- Fire --- Temperature --- Thermochemistry --- Heat conduction. Heat transfer --- Conduction --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Conduction. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 536.2 Heat conduction. Heat transfer --- 519.6 --- Conduction of heat
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