Exact Solutions of the Nonlinear Heat Conduction Model

A.L. Kazakov;  ; P.A. Kuznetsov;

doi:10.14529/mmp200403

Exact Solutions of the Nonlinear Heat Conduction Model

Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software ◽

10.14529/mmp200403 ◽

2020 ◽

Vol 13 (4) ◽

pp. 33-47

Author(s):

A.L. Kazakov ◽

◽

P.A. Kuznetsov ◽

Keyword(s):

Heat Conduction ◽

Exact Solutions ◽

Nonlinear Heat Conduction ◽

Conduction Model ◽

Heat Conduction Model

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Pointwise bounds for a nonlinear heat conduction model of the human head

Bulletin of Mathematical Biology ◽

10.1007/bf02460025 ◽

1986 ◽

Vol 48 (2) ◽

pp. 229-236 ◽

Cited By ~ 49

Author(s):

R. C. Duggan ◽

A. M. Goodman

Keyword(s):

Heat Conduction ◽

Human Head ◽

Nonlinear Heat Conduction ◽

Conduction Model ◽

Heat Conduction Model

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Equivalence transformations and approximate solutions of a nonlinear heat conduction model

Journal of Physics A General Physics ◽

10.1088/0305-4470/31/49/018 ◽

1998 ◽

Vol 31 (49) ◽

pp. 10005-10016

Author(s):

M Senthilvelan ◽

M Torrisi

Keyword(s):

Heat Conduction ◽

Approximate Solutions ◽

Nonlinear Heat Conduction ◽

Conduction Model ◽

Equivalence Transformations ◽

Heat Conduction Model

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Pointwise bounds for a nonlinear heat conduction model of the human head

Bulletin of Mathematical Biology ◽

10.1016/s0092-8240(86)80009-x ◽

1986 ◽

Vol 48 (2) ◽

pp. 229-236 ◽

Cited By ~ 14

Author(s):

R DUGGAN ◽

A GOODMAN

Keyword(s):

Heat Conduction ◽

Human Head ◽

Nonlinear Heat Conduction ◽

Conduction Model ◽

Heat Conduction Model

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AN EXACT SOLUTION FOR THERMAL ANALYSIS OF A CYLINDRICAL OBJECT USING A HYPERBOLIC HEAT CONDUCTION MODEL

Heat Transfer Research ◽

10.1615/heattransres.2012005537 ◽

2012 ◽

Vol 43 (5) ◽

pp. 405-423

Author(s):

Seyfolah Saedodin ◽

Mohammad Sadegh Motaghedi Barforoush

Keyword(s):

Thermal Analysis ◽

Exact Solution ◽

Heat Conduction ◽

Hyperbolic Heat Conduction ◽

Conduction Model ◽

Heat Conduction Model ◽

Cylindrical Object

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THERMAL EFFECT IN FSPL HEAT CONDUCTION MODEL IRRADIATED BY LASER HEAT SOURCE

Proceeding of Proceedings of CHT-15. 6th International Symposium on ADVANCES IN COMPUTATIONAL HEAT TRANSFER , May 25-29, 2015, Rutgers University, New Brunswick, NJ, USA ◽

10.1615/ichmt.2015.intsympadvcomputheattransf.50 ◽

2015 ◽

Author(s):

T. N. Mishra ◽

Kabindra Nath Rai

Keyword(s):

Heat Conduction ◽

Heat Source ◽

Thermal Effect ◽

Conduction Model ◽

Heat Conduction Model ◽

Laser Heat ◽

Laser Heat Source

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THERMAL EQUILIBRIUM ASSUMPTION OF FLUID FLOW IN POROUS CHANNEL AS DESCRIBED BY A HYPERBOLIC HEAT-CONDUCTION MODEL

Journal of Porous Media ◽

10.1615/jpormedia.v13.i6.30 ◽

2010 ◽

Vol 13 (6) ◽

pp. 529-535 ◽

Cited By ~ 2

Author(s):

Abed F. khadrawi ◽

M. A. Al-Nimr ◽

M. A. Hader

Keyword(s):

Fluid Flow ◽

Heat Conduction ◽

Thermal Equilibrium ◽

Porous Channel ◽

Hyperbolic Heat Conduction ◽

Conduction Model ◽

Heat Conduction Model

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Heat Conduction Model Optimization Study on the Basis of a Multilayer Decision Variable

International Journal of Performability Engineering ◽

10.23940/ijpe.20.01.p6.4858 ◽

2020 ◽

Vol 16 (1) ◽

pp. 48

Author(s):

Xianhong Xu

Keyword(s):

Heat Conduction ◽

Decision Variable ◽

Model Optimization ◽

Conduction Model ◽

Heat Conduction Model ◽

Optimization Study

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Thermal Behavior of a Stagnant Gas Confined in a Horizontal Microchannel as Described by the Dual-Phase-Lag Heat Conduction Model

International Journal of Thermophysics ◽

10.1007/s10765-004-7749-y ◽

2004 ◽

Vol 25 (6) ◽

pp. 1953-1964 ◽

Cited By ~ 16

Author(s):

M. A. Al-Nimr ◽

A. F. Khadrawi

Keyword(s):

Heat Conduction ◽

Thermal Behavior ◽

Phase Lag ◽

Dual Phase ◽

Conduction Model ◽

Heat Conduction Model

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A new heat conduction model for viscoelastic micro beams considering the magnetic field and thermal effects

Waves in Random and Complex Media ◽

10.1080/17455030.2021.2009152 ◽

2021 ◽

pp. 1-30

Author(s):

Ahmed E. Abouelregal ◽

Hakan Ersoy ◽

Ömer Civalek

Keyword(s):

Magnetic Field ◽

Heat Conduction ◽

Thermal Effects ◽

Conduction Model ◽

Heat Conduction Model ◽

The Magnetic Field

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Advanced thermoelastic heat conduction model with two ‎fractional parameters and phase-lags

Physica Scripta ◽

10.1088/1402-4896/ac2f80 ◽

2021 ◽

Author(s):

Ahmed E. Abouelregal ◽

A. Soleiman‎ ◽

Hamid M. Sedighi ◽

K.M. Khalil‎ ◽

M.E. Nasr‎

Keyword(s):

Heat Conduction ◽

Conduction Model ◽

Heat Conduction Model ◽

Phase Lags

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