Library Subscription: Guest

INTRINSIC VERIFICATION OF AN EXACT ANALYTICAL SOLUTION IN TRANSIENT HEAT CONDUCTION

Volume 10, Issue 3, 2018, pp. 251-272
DOI: 10.1615/ComputThermalScien.2017021201
Get accessGet access

ABSTRACT

The present work provides guidelines on how to perform as a whole the intrinsic verification of an exact analytical solution to a transient heat conduction problem. In particular, the addressed problem concerns a finite rectangular body in imperfect thermal contact with a high-conductivity surface layer that might represent an experimental apparatus for thermal properties transient measurements. Also, a new useful tool termed the "exact solution-based finite difference scheme" using high precision is suggested. This tool ensures an accuracy of the solution to many significant figures (such as ten or even 15), far beyond the accuracy generally practicable from fully numerical solutions. This high accuracy is important not only for checking fully-numerical codes but also for calculating accurately the sensitivity coefficients (related to thermal properties estimation) when using a finite difference scheme.

CITED BY
  1. D’Alessandro Giampaolo, de Monte Filippo, Amos Donald E., Effect of Heat Source and Imperfect Contact on Simultaneous Estimation of Thermal Properties of High-Conductivity Materials, Mathematical Problems in Engineering, 2019, 2019. Crossref

  2. Carr Elliot J., Rear-surface integral method for calculating thermal diffusivity from laser flash experiments, Chemical Engineering Science, 199, 2019. Crossref

  3. McMasters Robert L., de Monte Filippo, Beck James V., Generalized Solution for Two-Dimensional Transient Heat Conduction Problems With Partial Heating Near a Corner, Journal of Heat Transfer, 141, 7, 2019. Crossref

  4. McMasters Robert L., de Monte Filippo, D'Alessandro Giampaolo, Beck James V., Verification of ansys and matlab Heat Conduction Results Using an “Intrinsically” Verified Exact Analytical Solution, Journal of Verification, Validation and Uncertainty Quantification, 6, 2, 2021. Crossref

  5. D’Alessandro Giampaolo, de Monte Filippo, On the Optimum Experiment and Heating Times when Estimating Thermal Properties through the Plane Source Method, Heat Transfer Engineering, 43, 3-5, 2022. Crossref

Forthcoming Articles

Positivity Preserving Analysis of Central Schemes for Compressible Euler Equations Souren Misra, Alok Patra, Santosh Kumar Panda A lattice Boltzmann study of nano-magneto-hydrodynamic flow with heat transfer and entropy generation over a porous backward facing-step channel Hassane NAJI, Hammouda Sihem, Hacen Dhahri A Commemorative Volume in Memory of Darrell Pepper David Carrington, Yogesh Jaluria, Akshai Runchal In Memoriam: Professor Darrell W. Pepper – A Tribute to an Exceptional Engineering Educator and Researcher Akshai K. Runchal, David Carrington, SA Sherif, Wilson K. S. Chiu, Jon P. Longtin, Francine Battaglia, Yongxin Tao, Yogesh Jaluria, Michael W. Plesniak, James F. Klausner, Vish Prasad, Alain J. Kassab, John R. Lloyd, Yelena Shafeyeva, Wayne Strasser, Lorenzo Cremaschi, Tom Shih, Tarek Abdel-Salam, Ryoichi S. Amano, Ashwani K. Gupta, Nesrin Ozalp, Ting Wang, Kevin R. Anderson, Suresh Aggarwal, Sumanta Acharya, Farzad Mashayek, Efstathios E. Michaelides, Bhupendra Khandelwal, Xiuling Wang, Shima Hajimirza, Kevin Dowding, Sandip Mazumder, Eduardo Divo, Rod Douglass, Roy E. Hogan, Glen Hansen, Steven Beale, Perumal Nithiarasu, Surya Pratap Vanka, Renato M. Cotta, John A. Reizes, Victoria Timchenko, Ashoke De, Keith A Woodbury, John Tencer, Aaron P. Wemhoff, G.F. ‘Jerry’ Jones, Leitao Chen, Timothy S. Fisher, Sandra K. S. Boetcher, Patrick H. Oosthuizen, Hamidreza Najafi, Brent W. Webb, Satwindar S. Sadhal, Amanie Abdelmessih Modeling of Two-Phase Gas-Liquid Slug Flows in Microchannels Ayyoub Mehdizadeh Momen, SA Sherif, William E. Lear Performance of two dimensional planar curved micronozzle used for gas separation Manu K Sukesan, Shine SR A Localized Meshless Method for Transient Heat Conduction with Applications Kyle Beggs, Eduardo Divo, Alain J. Kassab Non-nested Multilevel Acceleration of Meshless Solution of Heat Conduction in Complex Domains Anand Radhakrishnan, Michael Xu, Shantanu Shahane, Surya P Vanka Assessing the Viability of High-Capacity Photovoltaic Power Plants in Diverse Climatic Zones : A Technical, Economic, and Environmental Analysis Kadir Özbek, Kadir Gelis, Ömer Özyurt MACHINE LEARNING LOCAL WALL STEAM CONDENSATION MODEL IN PRESENCE OF NON-CONDENSABLE FROM TUBE DATA Pavan Sharma LES of Humid Air Natural Convection in Cavity with Conducting Walls Hadi Ahmadi moghaddam, Svetlana Tkachenko, John Reizes, Guan Heng Yeoh, Victoria Timchenko
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain