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Journal Articles

Unified Integral Transforms and Non-Classical Eigenvalue Problems in Heat and Mass Transfer

R. M. Cotta, D. C. Knupp, K. M. Lisboa, C. P. Naveira-Cotta, J. N. N. Quaresma, L. A. Sphaier

J. Heat Mass Transfer. January 2023, 145(1): 010801.

Paper No: HT-22-1169

DOI: https://doi.org/10.1115/1.4055818

Published Online: November 17, 2022

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Topics: Boundary-value problems, Eigenfunctions, Eigenvalues, Diffusion (Physics), Heat

Journal Articles

Onset of Natural Convection in a Porous Layer Confined by an Elliptic or Semi-Elliptic Box Using the Ritz Method

C. Y. Wang

J. Heat Transfer. September 2020, 142(9): 092602.

Paper No: HT-19-1534

DOI: https://doi.org/10.1115/1.4047264

Published Online: July 8, 2020

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Topics: Boundary-value problems, Eigenfunctions, Eigenvalues, Rayleigh number, Stability, Natural convection

Journal Articles

Exact Solutions to the Thermal Entry Problem for Laminar Flow Through Annular Ducts

T. D. Bennett

J. Heat Transfer. May 2020, 142(5): 051803.

Paper No: HT-19-1509

DOI: https://doi.org/10.1115/1.4046345

Published Online: March 17, 2020

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Topics: Convection, Ducts, Eigenfunctions, Exterior walls, Heat flux, Temperature, Heat, Wall temperature, Laminar flow, Boundary-value problems

Journal Articles

Solution of the Extended Graetz–Nusselt Problem for Liquid Flow Over Isothermal Parallel Ridges

Georgios Karamanis, Marc Hodes, Toby Kirk, Demetrios T. Papageorgiou

J. Heat Transfer. June 2018, 140(6): 061703.

Paper No: HT-17-1395

DOI: https://doi.org/10.1115/1.4039085

Published Online: March 9, 2018

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Topics: Boundary-value problems, Composite materials, Eigenvalues, Energy dissipation, Flow (Dynamics), Heat, Heat conduction, Heat transfer, Plates (structures), Temperature

Journal Articles

Orthogonal Eigenfunction Expansion Method for One-Dimensional Dual-Phase Lag Heat Conduction Problem With Time-Dependent Boundary Conditions

Pranay Biswas, Suneet Singh

J. Heat Transfer. March 2018, 140(3): 034501.

Paper No: HT-16-1813

DOI: https://doi.org/10.1115/1.4037874

Published Online: October 10, 2017

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Topics: Eigenfunctions, Heat conduction, Temperature, Boundary-value problems

Journal Articles

Analytical Solution for Three-Dimensional, Unsteady Heat Conduction in a Multilayer Sphere

Suneet Singh, Prashant K. Jain, Rizwan-uddin

J. Heat Transfer. October 2016, 138(10): 101301.

Paper No: HT-15-1488

DOI: https://doi.org/10.1115/1.4033536

Published Online: June 7, 2016

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Topics: Boundary-value problems, Eigenfunctions, Eigenvalues, Heat conduction, Transients (Dynamics), Separation (Technology), Steady state, Temperature

Journal Articles

Exact Solution of Electroviscous Flow and Heat Transfer in a Semi-annular Microcapillary

Ali Jabari Moghadam

J. Heat Transfer. January 2016, 138(1): 011702.

Paper No: HT-14-1043

DOI: https://doi.org/10.1115/1.4031084

Published Online: August 11, 2015

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Topics: Eigenfunctions, Electrokinetics, Electroosmosis, Flow (Dynamics), Fluids, Heat transfer, Temperature, Boundary-value problems, Heating

Journal Articles

Conjugated Convection-Conduction Analysis in Microchannels With Axial Diffusion Effects and a Single Domain Formulation

Diego C. Knupp, Carolina P. Naveira-Cotta, Renato M. Cotta

J. Heat Transfer. September 2013, 135(9): 091401.

Paper No: HT-12-1313

DOI: https://doi.org/10.1115/1.4024425

Published Online: July 26, 2013

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Topics: Convection, Diffusion (Physics), Eigenvalues, Fluids, Heat transfer, Microchannels, Temperature, Heat conduction, Eigenfunctions

Journal Articles

One-Dimensional Transient Heat Conduction in Composite Living Perfuse Tissue

S. M. Becker

J. Heat Transfer. July 2013, 135(7): 071002.

Paper No: HT-11-1542

DOI: https://doi.org/10.1115/1.4024063

Published Online: June 21, 2013

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Topics: Biological tissues, Boundary-value problems, Composite materials, Eigenvalues, Heat conduction, Temperature, Transients (Dynamics), Transient heat transfer, Separation (Technology), Slabs

Journal Articles

Transverse Heterogeneity Effects in the Dissipation-Induced Instability of a Horizontal Porous Layer

A. Barletta, M. Celli, A. V. Kuznetsov

J. Heat Transfer. December 2011, 133(12): 122601.

DOI: https://doi.org/10.1115/1.4004371

Published Online: October 5, 2011

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Topics: Eigenvalues, Energy dissipation, Flow (Dynamics), Permeability, Stability, Thermal conductivity, Porous materials, Temperature distribution, Convection, Eigenfunctions

Journal Articles

Combining Integral Transforms and Bayesian Inference in the Simultaneous Identification of Variable Thermal Conductivity and Thermal Capacity in Heterogeneous Media

Carolina P. Naveira-Cotta, Helcio R. B. Orlande, Renato M. Cotta

J. Heat Transfer. November 2011, 133(11): 111301.

DOI: https://doi.org/10.1115/1.4004010

Published Online: August 31, 2011

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Topics: Eigenfunctions, Heat capacity, Heat conduction, Inverse problems, Specific heat, Thermal conductivity, Temperature, Eigenvalues, Chain, Disperse systems

Journal Articles

Differential Approximations to the Radiation Transfer Equation by Chapman–Enskog Expansion

A. V. Gusarov

J. Heat Transfer. August 2011, 133(8): 082701.

DOI: https://doi.org/10.1115/1.4003724

Published Online: May 2, 2011

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Topics: Approximation, Eigenfunctions, Eigenvalues, Electromagnetic scattering, Flow (Dynamics), Heat, Radiation (Physics), Radiation scattering, Scattering (Physics), Boundary-value problems

Journal Articles

Steady-Periodic Heating of a Cylinder

Kevin D. Cole, Paul E. Crittenden

J. Heat Transfer. September 2009, 131(9): 091301.

DOI: https://doi.org/10.1115/1.3139107

Published Online: June 22, 2009

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Topics: Cylinders, Eigenfunctions, Temperature, Heating, Boundary-value problems

Journal Articles

Analytical Solution to Transient Asymmetric Heat Conduction in a Multilayer Annulus

Prashant K. Jain, Suneet Singh, Rizwan-uddin

J. Heat Transfer. January 2009, 131(1): 011304.

DOI: https://doi.org/10.1115/1.2977553

Published Online: October 20, 2008

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Topics: Annulus, Eigenvalues, Heat conduction, Steady state, Transients (Dynamics), Eigenfunctions, Boundary-value problems, Separation (Technology)

Journal Articles

Instability of Nanofluids in Natural Convection

D. Y. Tzou

J. Heat Transfer. July 2008, 130(7): 072401.

DOI: https://doi.org/10.1115/1.2908427

Published Online: May 16, 2008

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Topics: Brownian motion, Fluids, Nanofluids, Nanoparticles, Natural convection, Rayleigh number, Eigenfunctions, Turbulence, Thermal conductivity, Flow (Dynamics)

Journal Articles

A Fast and Efficient Method for Predicting Fluid Flow and Heat Transfer Problems

Peng Ding, Xue-Hong Wu, Ya-Ling He, Wen-Quan Tao

J. Heat Transfer. March 2008, 130(3): 032502.

DOI: https://doi.org/10.1115/1.2804935

Published Online: March 6, 2008

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Topics: Algorithms, Design, Eigenfunctions, Eigenvalues, Fluid dynamics, Heat transfer, Temperature, Principal component analysis, Transients (Dynamics), Cavities

Journal Articles

Technical Brief: Asymptotic Temperature Distribution in a Simulated Combustion Chamber

Anand B. Vyas, Joseph Majdalani

J. Heat Transfer. July 2007, 129(7): 894–898.

DOI: https://doi.org/10.1115/1.2714591

Published Online: July 17, 2006

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Topics: Boundary-value problems, Combustion, Combustion chambers, Eigenfunctions, Flow (Dynamics), Heat, Motors, Rockets, Temperature, Temperature distribution

Journal Articles

Neutral Instability and Optimum Convective Mode in a Fluid Layer with PCM Particles

Chuanshan Dai, Hideo Inaba

J. Heat Transfer. December 2005, 127(12): 1289–1295.

DOI: https://doi.org/10.1115/1.2060728

Published Online: June 10, 2005

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Topics: Fluids, Particulate matter, Rayleigh number, Specific heat, Temperature, Stability, Boundary-value problems, Heating, Slurries, Convection

Journal Articles

On the Solution of Multidimensional Inverse Heat Conduction Problems Using an Efficient Sequential Method

H. M. Park, W. S. Jung

J. Heat Transfer. December 2001, 123(6): 1021–1029.

DOI: https://doi.org/10.1115/1.1409260

Published Online: April 19, 2001

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Topics: Differential equations, Heat conduction, Heat flux, Temperature measurement, Algorithms, Dynamic models, Computers, Eigenfunctions, Inverse problems, Filtration

Journal Articles

The Time Delay for a Perceptible Thermal Disturbance in a Slab

M. G. Davies

J. Heat Transfer. November 1999, 121(4): 1072–1075.

DOI: https://doi.org/10.1115/1.2826058

Published Online: November 1, 1999

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Topics: Delays, Slabs, Cooling, Eigenfunctions, Fluids, Heat conduction, Heat transfer, Temperature, Transients (Dynamics)

Journal citation

NARROW

Unified Integral Transforms and Non-Classical Eigenvalue Problems in Heat and Mass Transfer

Onset of Natural Convection in a Porous Layer Confined by an Elliptic or Semi-Elliptic Box Using the Ritz Method

Exact Solutions to the Thermal Entry Problem for Laminar Flow Through Annular Ducts

Solution of the Extended Graetz–Nusselt Problem for Liquid Flow Over Isothermal Parallel Ridges

Orthogonal Eigenfunction Expansion Method for One-Dimensional Dual-Phase Lag Heat Conduction Problem With Time-Dependent Boundary Conditions

Analytical Solution for Three-Dimensional, Unsteady Heat Conduction in a Multilayer Sphere

Exact Solution of Electroviscous Flow and Heat Transfer in a Semi-annular Microcapillary

Conjugated Convection-Conduction Analysis in Microchannels With Axial Diffusion Effects and a Single Domain Formulation

One-Dimensional Transient Heat Conduction in Composite Living Perfuse Tissue

Transverse Heterogeneity Effects in the Dissipation-Induced Instability of a Horizontal Porous Layer

Combining Integral Transforms and Bayesian Inference in the Simultaneous Identification of Variable Thermal Conductivity and Thermal Capacity in Heterogeneous Media

Differential Approximations to the Radiation Transfer Equation by Chapman–Enskog Expansion

Steady-Periodic Heating of a Cylinder

Analytical Solution to Transient Asymmetric Heat Conduction in a Multilayer Annulus

Instability of Nanofluids in Natural Convection

A Fast and Efficient Method for Predicting Fluid Flow and Heat Transfer Problems

Technical Brief: Asymptotic Temperature Distribution in a Simulated Combustion Chamber

Neutral Instability and Optimum Convective Mode in a Fluid Layer with PCM Particles

On the Solution of Multidimensional Inverse Heat Conduction Problems Using an Efficient Sequential Method

The Time Delay for a Perceptible Thermal Disturbance in a Slab

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