Faculty - Jay I. Frankel
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Jay I. Frankel
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| Teaching ~ Education ~ Research Interests ~ Professional Experience ~ Professional Activities ~ Selected Publications |
TEACHING• Engineering Analysis (ME 391, 591) |
EDUCATION• Ph.D 1986, VPI&SU |
RESEARCH INTERESTS (back to top)
Radiative and conductive (isotropic and anisotropic) transport in solids; heat flux estimation from heating rate sensors; rate-based sensor development for thermal systems; detecting sudden changes in heat flux by in-situ sensors, sensitivity analysis, inverse heat conduction; parameter estimation; integral and integro-differential equations of mathematical physics, heat transfer, fluid mechanics, vibrations; weighted-residual methods: spectral and radial basis functions.
PROFESSIONAL EXPERIENCE (back to top)
Dr. Frankel joined the faculty at the University of Tennessee in 1993 as an Associate Professor. He was promoted to Full Professor in 1996. Prior to his arrival at UT, Dr. Frankel was an Associate Professor and the Assistant Department Head of the Mechanical and Aerospace Engng. Dept. at the Florida Institute of Technology. Dr. Frankel joined the faculty at Florida Institute of Technology in 1986 as an Assistant Professor. Dr. Frankel worked at the National Bureau of Standards as a Guest Worker from the University of Maryland from 1982-1983. Prior to this position, Dr. Frankel was a Thermal Analyst at ORI Inc. in Silver Spring, MD from 1982-1983.
Distinguished Visiting Scientist and Faculty, Oak Ridge National Laboratory (ORNL), Center for Advanced Science and Engineering Research, July 9, 2007 –Dec. 31, 2007.
Guest Professor, Ocean University of China, Qingdao, China (2009 - 2012).
PROFESSIONAL ACTIVITIES (back to top)
Fellow, Computational Mechanics, Wessex Institute of Technology, Southampton, UK; Associate Fellow , American Institute of Aeronautics and Astronautics; AIAA Thermophysics Technical Committee (2000-2003, 2003-2006, 2009-2012); AIAA Thermophysics Technical Committee Liaison to Ground Test Technical Committee (2009-); Editorial Boards: Engineering Analysis with Boundary Elements (1999-2002); Inverse Problems in Science and Engineering (2002-present); |
RECENT INTERNATIONAL SPONSORSHIPS:
Ms. Manguo Huang, Beihang University, Beijing, China (2007-08)-CSC Funded Visiting Scholar; Research Areas: rate-based temperature sensors and inverse heat conduction.
Mr. Xuejun Zhao, China Academy of Aeronautic and Aerodynamics, Beijing, China (2009-10)-CSC Funded Visiting Scholar; Research Areas: rate-based temperature sensors, heat flux predictions, transition in high speed flows, and in-situ thermophysical property estimation. Email: xzhao11@utk.edu
RECENT INTERNATIONAL LECTURE SERIES:
“Advanced Mathematics of Diffusion with Application to Measurements and Rated-Based Sensors” 20 hour lecture series at Ocean University of China, Qingdao, China (Feb, May 2009).
PATENT: Rate-based sensors for advance real-time analysis and diagnostics U.S. No. 7539587 Frankel, Keyhani, Arimilli and Wu: (2009).
SELECTED PUBLICATIONS (back to top)
Frankel, J.I., “A New Asymptotic Temperature-Heat Flux Integral Relationship in Cylindrical Coordinates”, AIAA J. Thermophysics and Heat Transfer, Vol. 23, #1, pp. 191-196 (2009).
Frankel, J.I., M. Keyhani, R.V. Arimilli, and J. Wu, “A New Multidimensional Integral Relationship between Heat Flux and Temperature for Direct Internal Assessment of Heat Flux”, Zeitschrift für angewandte Mathematik und Physik (ZAMP), Vol. 59, #5, pp. 869-888 (2008).
Frankel, J.I., R.V.Arimilli, M.Keyhani, and J. Wu, “Heating Rate dT/dt Measurements Developed from In-Situ Thermocouples using a Voltage-Rate Interface”, Int. Comm. of Heat and Mass Transfer , Vol. 35, pp. 885-891 (2008)
Frankel, J.I and V.V. Kulish, “A New Flux Integral Relationship for Half-Space Transient Heat Conduction with Arbitrary Initial Condition”, Engineering Analysis with Boundary Elements, Vol. 32, pp. 162-167 (2008).
Frankel, J.I., and C. Chisholm, “Integral Equation and Sensitivity Analyses of Creep Behavior for PVDF Thin Films”, Mechanics of Materials, Vol. 40, #7, pp 594-601 (2008).
Frankel, J.I., M. Keyhani, R.V. Arimilli, and J. Wu, “Locating Sudden Changes in Heat Flux using Higher-Temporal Derivative of Temperature”, AIAA. J. Spacecraft and Rockets, Vol. 45, #3, pp. 631-635 (2008).
Frankel, J.I., “Temperature-Heat Flux Integral Relationship in the Half-Space by Fourier Transforms”, AIAA J. Thermophysics and Heat Transfer, Vol. 22, #4, pp. 786-791 (2008).
Kruttiventi, J., J. Wu, J.I. Frankel, "Real-Time Low-Noise Differentiation of Low Frequency Signals in Heat-Transfer Applications", IEEE Transactions on Instrumentation and Measurements (revision in review).
Frankel, J.I. “Two-Dimensional, Transient Heat Flux-Temperature Integral Relationship by Regularization”, Applied Mathematical Modeling (in review).
Frankel, J.I., M. Keyhani, and R. Arimilli, “New Three-Dimensional Heat Flux-Temperature Integral Relation for Half-Space Transient Diffusion”, Quarterly Journal of Mechanics and Applied Mathematics (in review).
Frankel, J.I., M. Keyhani, and M. Huang, “Local Sensitivity Analysis for the Heat Flux-Temperature Integral Relationship in the Half Space”, Int. J of Engng. Sciences (in review).
Frankel, J.I., M. Keyhani, and R.V. Arimilli, “A New, Orthotropic, Two-Dimensional, Transient Heat Flux-Temperature Integral Relationship for Half-Space Diffusion”, AIAA J. Thermophysics and Heat Transfer (in review).
Huang, M, B. Elkins, and J.I. Frankel, “In-Situ Higher-Time Derivative of Temperature Sensors for Aerospace Heat Transfer”, AIAA. J. Thermophysics and Heat Transfer, (in review).
Frankel, J.I., and R.V. Arimilli, “Inferring Convective and Radiative Heating Loads from Transient Surface Temperature Measurements in the Half-Space”, Inverse Problems in Sciences and Engineering vol. 15, No. 5, pp. 463-488 (2007).
Frankel, J.I., “Regularization of Inverse Heat Conduction by Combination of Rate Sensors Analysis and Analytic Continuation”, J. Engineering Mathematics, vol. 57, pp. 181-198 (2007).
Frankel, J.I., “Generalizing the Method of Kulish to One-Dimensional Unsteady Heat Conducting Slabs”, AIAA J. Thermophysics and Heat Transfer, vol. 20, #4, pp. 945-950 (2006).
Frankel, J.I., G.E. Osborne, and K. Taira, Stabilization of Ill-Posed Problems through Thermal Rate Sensors”, AIAA J. Thermophysics and Heat Transfer, vol. 20, #2, pp. 238-246, (2006).
Frankel, J.I., and K. Taira, “Integral Equation Formulation and Error Estimation for Radial Flow Between Two Flat Disks”, Journal of Computational and Applied Mathematics, vol. 181, pp. 103-124, (2005).
Frankel, J.I., and J.J. Lawless, “Numerically Stabilizing Ill-Posed Moving Surface Problems through Heat Rate Sensors”, AIAA J. Thermophysics and Heat Transfer, vol. 19, #4, pp. 587-592, (2005).
Frankel, J.I., “Motivation for the Development of New Thermal Rate Sensors for Material Science Applications”, International Journal of Materials and Product Technology (Special Issue: Quenching and Distortion), Invited Paper, vol. 24, No. 1-4, pp. 199-206, (2005).
Frankel, J.I., W.D. Porter, and A.S. Sabau, “Analysis of a Modified Push-Rod Dilatometer”, J. Thermal Analysis and Calorimetry, vol. 82, pp. 171-177, (2005).
Frankel, J.I., M. Keyhani, and K. Taira, “In-Phase Error Estimation of Experimental Data and Optimal First Derivatives”, AIAA Journal, vol. 42, #5, pp. 1017-1024, (2004).
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