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The heat-balance integral: 1. How to calibrate the parabolic profile?

https://doi.org/10.1016/j.crme.2012.03.001
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4899-2846-7openalex-snapshot
Nonlinear Partial Differential Equations for Scientists and Engineers
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Conduction of Heat in Solids
inferredcites →https://doi.org/10.1016/0017-9310(73)90026-4openalex-snapshot
The heat balance integral method
inferredcites →https://doi.org/10.1016/j.apm.2009.03.002openalex-snapshot
Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative
inferredcites →https://doi.org/10.1016/j.crme.2008.05.001openalex-snapshot
Relevance of a thermal contact resistance depending on the solid/liquid phase change transition for sprayed composite metal/ceramic powder by direct current plasma jets
inferredcites →https://doi.org/10.1016/j.crme.2012.03.002openalex-snapshot
The heat-balance integral: 2. Parabolic profile with a variable exponent: The concept, analysis and numerical experiments
inferredcites →https://doi.org/10.1016/j.energy.2004.03.049openalex-snapshot
On the minimum entropy production in steady state heat conduction processes
inferredcites →https://doi.org/10.1016/j.icheatmasstransfer.2008.10.013openalex-snapshot
Optimizing the exponent in the heat balance and refined integral methods
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2006.05.038openalex-snapshot
A comprehensive analysis of conduction-controlled rewetting by the Heat Balance Integral Method
inferredcites →https://doi.org/10.1016/j.ijthermalsci.2009.06.006openalex-snapshot
Analytical solution of unsteady heat conduction in a two-layered material in imperfect contact subjected to a moving heat source
inferredcites →https://doi.org/10.1016/s0065-2717(08)70097-2openalex-snapshot
Application of Integral Methods to Transient Nonlinear Heat Transfer
inferredcites →https://doi.org/10.1115/1.4012364openalex-snapshot
The Heat-Balance Integral and Its Application to Problems Involving a Change of Phase
inferredcites →https://doi.org/10.1115/1.521474openalex-snapshot
Fractional-Diffusion Solutions for Transient Local Temperature and Heat Flux
inferredcites →https://doi.org/10.1119/1.14292openalex-snapshot
Partial Differential Equations for Scientists and Engineers
inferredcites →https://doi.org/10.15866/irephy.v11i1.12141openalex-snapshot
Stokes Flows of a Newtonian Fluid with Fractional Derivatives and Slip at the Wall
inferredcites →https://doi.org/10.15866/irephy.v11i1.12143openalex-snapshot
Modeling of Granular Material Mixing Using Fractional Calculus
inferredcites →https://doi.org/10.15866/irephy.v11i2.12593openalex-snapshot
A Research Note on a Solution of Stefan Problem with Fractional Time and Space Derivatives
inferredcites →https://doi.org/10.2134/agronmonogr9.1.c26openalex-snapshot
Heat Transfer
inferredcites →https://doi.org/10.2298/tsci0702141hopenalex-snapshot
An inverse Stefan problem relevant to boilover: Heat balance integral solutions and analysis
inferredcites →https://doi.org/10.2298/tsci0902011wopenalex-snapshot
On high-order polynomial heat-balance integral implementations
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The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and benchmark exercises
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Research note on a parabolic heat-balance integral method with unspecified exponent: An entropy generation approach in optimal profile determination
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Application of heat-balance integral method to conjugate thermal explosion
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How good is Goodman's heat-balance integral method for analyzing the rewetting of hot surfaces?
inferredcites →https://doi.org/10.2298/tsci0902121bopenalex-snapshot
Heat-balance integral method for heat transfer in superfluid helium
inferredcites →https://doi.org/10.2298/tsci0902133eopenalex-snapshot
Entropy generation analysis in error estimation of an approximate solution: A constant surface temperature semi-infinite conductive problem
inferredcites →https://doi.org/10.2298/tsci0904049popenalex-snapshot
Long-term optimization case studies for combined heat and power system
inferredcites →https://doi.org/10.2298/tsci0904091aopenalex-snapshot
Theoretical and experimental study of a cross-flow induced-draft cooling tower
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Thermal impedance at the interface of contacting bodies: 1-D examples solved by semi-derivatives
inferredcites →https://doi.org/10.2298/tsci11s1005hopenalex-snapshot
Starting radial subdiffusion from a central point through a diverging medium (a sphere): Heat-balance integral method
inferredcites →https://doi.org/10.2514/6.2005-761openalex-snapshot
A New Approach For The Heat Balance Integral Method Applied to Heat Conduction Problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4197631openalex-extracted
On the Development and Validation of the Double Integral Method for Spherical Solidification of Metals
inferred← citeshttps://doi.org/10.1007/s00231-015-1579-2openalex-snapshot
Integral solutions to transient nonlinear heat (mass) diffusion with a power-law diffusivity: a semi-infinite medium with fixed boundary conditions
inferred← citeshttps://doi.org/10.1007/s10891-018-1873-1openalex-snapshot
Parabolic Profile in Heat-Conduction Problems. 1. Semi-Bounded Space with a Surface of Constant Temperature
inferred← citeshttps://doi.org/10.1016/b978-0-444-63581-5.00012-9openalex-snapshot
Quasi-Analytical Solutions and Methods
inferred← citeshttps://doi.org/10.1016/b978-0-444-63581-5.09990-5openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/j.applthermaleng.2022.119528openalex-snapshot
On the application of the double integral method with quadratic temperature profile for spherical solidification of lead and tin metals
inferred← citeshttps://doi.org/10.1016/j.cam.2022.114547openalex-snapshot
Integral-balance method with transmuted profiles: Concept, examples, and emerging problems
inferred← citeshttps://doi.org/10.1016/j.crme.2012.03.002openalex-snapshot
The heat-balance integral: 2. Parabolic profile with a variable exponent: The concept, analysis and numerical experiments
inferred← citeshttps://doi.org/10.1016/j.crme.2012.04.002openalex-snapshot
Foreword
inferred← citeshttps://doi.org/10.1016/j.ijthermalsci.2022.107575openalex-snapshot
Spherical solidification: An application of the integral methods
inferred← citeshttps://doi.org/10.1021/acs.iecr.8b02343openalex-snapshot
Estimation of Gas Absorption and Diffusion Coefficients for Dissolved Gases in Liquids
inferred← citeshttps://doi.org/10.2298/tsci110401077hopenalex-snapshot
Integral-balance solution to the Stokes’ first problem of a viscoelastic generalized second grade fluid
inferred← citeshttps://doi.org/10.2298/tsci120826076hopenalex-snapshot
A note on the integral approach to non-linear heat conduction with Jeffrey’s fading memory
inferred← citeshttps://doi.org/10.2298/tsci130803073hopenalex-snapshot
Diffusion models with weakly singular kernels in the fading memories: How the integral-balance method can be applied?
inferred← citeshttps://doi.org/10.2298/tsci150917010hopenalex-snapshot
An alternative integral-balance solutions to transient diffusion of heat (mass) by time-fractional semi-derivatives and semi-integrals: Fixed boundary conditions
inferred← citeshttps://doi.org/10.29235/1561-8323-2019-63-4-485-495openalex-snapshot
Integral methods of solving heat-conduction problems: a new concept (Dirichlet condition)
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