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transient heat conduction

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Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006464
EISBN: 978-1-62708-190-0
... surface. This article discusses the strategies for implementing thermography for NDE, including the steady-state/whole-body approach and transient heat conduction. It describes the most common signal-processing methods, such as thermographic signal reconstruction, lock-in thermography, and pulsed-phase...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006453
EISBN: 978-1-62708-190-0
...). In the transient configuration, energy is applied at or near the surface of the sample, causing a nonuniform temperature distribution in the sample interior ( Fig. 2 ). Thermal response is monitored as the sample returns to a uniform temperature distribution through heat conduction. The sample returns...
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Published: 01 August 2018
Fig. 2 (a) A heated test piece cools to equilibrium with its surroundings by convection. (b) A surface-heated part cools to an internal equilibrium by transient conduction as heat flows toward the cooler interior. More
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005907
EISBN: 978-1-62708-167-2
... crucible furnaces inductor crucible cold furnaces melt properties oxides THIS ARTICLE IS A BRIEF OVERVIEW of models of the following induction heating devices for melting with skull formation of low-conductivity materials: Induction crucible furnace, or ICF ( Fig. 1 ) Induction furnace...
Series: ASM Handbook
Volume: 4C
Publisher: ASM International
Published: 09 June 2014
DOI: 10.31399/asm.hb.v04c.a0005835
EISBN: 978-1-62708-167-2
... be required if calculated values do not agree with initial assumptions. Transient Heat Conduction Problems Calculating unsteady-state heat conduction can be done using the general equation of thermal conduction, which expresses the energy balance in a volumetric element dV of the object (see Fig. 4...
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Published: 09 June 2014
Fig. 5 Transient temperature distribution in a cylinder at zero initial temperature and constant surface temperature T s during conductive heat flow: ξ = r / R ; τ = α t / R 2 . Source: Ref 8 More
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Published: 01 August 2018
Fig. 2 In the transient configuration, thermal diffusion occurs in response to excitation applied to a surface of the part (a). An internal defect with anomalous thermal conductivity obstructs the flow of heat from the surface, causing a nonuniform temperature and infrared (IR) radiation More
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Published: 01 January 1997
Fig. 12 In-mold cooling time versus wall thickness predicted from one-dimensional, transient mold cooling analysis Material Unfiled PC Thickness, mm 1.62–3.81 Thermal Conductivity, W/m · K 0.270 Specific heat, W · s/kg · K 1791 Melt temperature, °C 300 Mold More
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005588
EISBN: 978-1-62708-174-0
... is the ratio of thermal conductivity to the specific heat of the material: ( κ = λ ρ C p ,   mm 2 / S ) The transient time periods, t 0 and t 1 , are in the order of seconds for the common arc welding processes. Temperature Solution for Thin Plate...
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001333
EISBN: 978-1-62708-173-3
... Abstract During fusion welding, the thermal cycles produced by the moving heat source cause physical state changes, metallurgical phase transformation, and transient thermal stress and metal movement. This article presents an analysis of heat flow in the fusion welding process. The primary...
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001332
EISBN: 978-1-62708-173-3
... The fact that power density is inversely related to the interaction time of the heat source on the material is evident in Fig. 1 . Because this represents a transient heat conduction problem, one can expect the heat to diffuse into the steel to a depth that increases as the square root of time...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005577
EISBN: 978-1-62708-174-0
... Spectrum of practical heat intensities used for fusion welding The fact that power density is inversely related to the interaction time of the heat source on the material is evident in Fig. 1 . Because this represents a transient heat conduction problem, one can expect the heat to diffuse...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005514
EISBN: 978-1-62708-197-9
... such as the transient hot wire technique for the measurement of thermal conductivity ( Ref 1 ) to avoid the onset of density-driven convection effects. Another is the use of microsecond discharge methods, where the sample is heated very rapidly, minimizing reactions of the sample with its surroundings ( Ref 2...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002493
EISBN: 978-1-62708-194-8
... a coupled analysis may be preferred or even essential. Such subtleties are pointed out later when individual processes are discussed. Ignoring convection, the following conduction heat-transfer equation is solved with appropriate initial and boundary conditions: (Eq 1) ∇ ⋅ ( k ∇ T ) + Q...
Series: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.a0006575
EISBN: 978-1-62708-290-7
..., are difficult to determine; a wide range of chosen values is published in the literature ( Ref 14 , 44 ). Fig. 5 Outline of typical workflow in thermomechanical additive manufacturing modeling Transient Thermal Response For transient heat-conduction analysis in a volume, V , with boundary S...
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005814
EISBN: 978-1-62708-165-8
... coefficient inverse heat-conduction problem THE RECORD of 1548 megatonnes (Mt) during 2012 ( Ref 1 ) for global crude steel production reflects the continuing success of steel in obtaining a variety of mechanical properties that can be achieved after processing, at a competitive cost. Although...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005636
EISBN: 978-1-62708-174-0
... solve those PDEs using numerical methods such as the finite-volume method to calculate the temperature and velocity fields. Over the past decades, the models of heat and mass transfer have evolved from simple two-dimensional (2-D) steady-state models to complex three-dimensional (3-D) transient models...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005449
EISBN: 978-1-62708-196-2
... and heat flow, such as found in internal combustion engines, air conditioning, instrumentation, and process control. System with Negligible Internal Thermal Resistance Although no materials possess an infinite thermal conductivity, many transient heat-flow problems may be solved with acceptable...
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005993
EISBN: 978-1-62708-166-5
... With Negligible Internal Thermal Resistance Although no materials possess an infinite thermal conductivity, many transient heat-flow problems may be solved with acceptable accuracy by assuming that the internal conductive resistance is so small that the system temperature is substantially uniform at any...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005423
EISBN: 978-1-62708-196-2
... the casting-mold interface in a manner that appropriately captures the relevant interface heat-transfer phenomena. Solidification process modeling tools typically model heat transfer within the casting and within the mold by numerically solving the transient, nonlinear heat conduction energy equation...