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University of Tennessee – Knoxville

1. Pande, Abhay Sanjeev. Investigation of the One-Probe and Two-Probe Calibration Integral Equation Methods using Experimental Data.

Degree: MS, Mechanical Engineering, 2013, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_gradthes/2632

This work aims to expand the applicability of the recently devised physics-based Calibration Integral Equation Method (CIEM) at the University of Tennessee Knoxville, for solving the Inverse Heat Conduction Problem (IHCP) as applied to a one-dimensional domain. Contrary to conventional schemes of solving the IHCP, the CIEM does not require the knowledge of the thermo-physical properties of the domain, sensor characterization and sensor probe locations. The pertinent information is implicitly accounted for via an experimental run. The experimental run ‘calibrates’ the physics of the domain and is called the ‘calibration run’. The net surface heat flux during a real ‘unknown’ run can then be reconstructed using measured in-depth real run temperature histories in conjunction with the calibration run data. The calibration integral equation(s) is identified as a Volterra integral equation of the first kind, which is well known to be ill-posed. Hence, some form of regularization is required to facilitate a stable resolution. This thesis will explore the operation of the CIEM in two parts, both using experimentally gathered data. The first part will revisit the one-probe CIEM in the light of suggesting an alternate scheme for the selection of the optimum regularization parameter and also extend its applicability to two-layer domains. The proposed scheme requires solely the calibration run temperature history for establishing an optimal band for the selection of the regularization parameter. The one-probe CIEM demands identical back boundary conditions during the calibration and ‘real’ run stages. This restriction is lifted by means of the two-probe CIEM, which will constitute the second part of this thesis. The two-probe CIEM implicitly registers the effect of the back-boundary condition via a second temperature measurement at a different probe location. This enables the reconstruction of the net surface heat flux during the ‘real’ run, independent of the ‘real’ run back-boundary condition. The considerable difficulty of simulating in the laboratory, the actual boundary conditions prevalent in a space vehicle is thus avoided. The two-probe CIEM is also applicable to multi-layer domains. Highly favorable results are presented for both one and two-probe CIEMs applied to single and two-layer domains.
*Advisors/Committee Members: Majid Keyhani, Jay I. Frankel, Rao V. Arimilli.*

Subjects/Keywords: Inverse Problems; Heat Transfer; Calibration; Regularization; Heat Transfer, Combustion

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Pande, A. S. (2013). Investigation of the One-Probe and Two-Probe Calibration Integral Equation Methods using Experimental Data. (Thesis). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_gradthes/2632

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Pande, Abhay Sanjeev. “Investigation of the One-Probe and Two-Probe Calibration Integral Equation Methods using Experimental Data.” 2013. Thesis, University of Tennessee – Knoxville. Accessed February 19, 2019. https://trace.tennessee.edu/utk_gradthes/2632.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Pande, Abhay Sanjeev. “Investigation of the One-Probe and Two-Probe Calibration Integral Equation Methods using Experimental Data.” 2013. Web. 19 Feb 2019.

Vancouver:

Pande AS. Investigation of the One-Probe and Two-Probe Calibration Integral Equation Methods using Experimental Data. [Internet] [Thesis]. University of Tennessee – Knoxville; 2013. [cited 2019 Feb 19]. Available from: https://trace.tennessee.edu/utk_gradthes/2632.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pande AS. Investigation of the One-Probe and Two-Probe Calibration Integral Equation Methods using Experimental Data. [Thesis]. University of Tennessee – Knoxville; 2013. Available from: https://trace.tennessee.edu/utk_gradthes/2632

Not specified: Masters Thesis or Doctoral Dissertation

University of Tennessee – Knoxville

2. Plewa, Jake Erik. Heat Transfer Analysis via Rate Based Sensors.

Degree: MS, Mechanical Engineering, 2012, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_gradthes/1396

This work presents an integrated rate-based sensor and method for resolving the surface heat flux of a fundamental inverse heat conduction problem without numerical regularization or differentiation in a semi-infinite geometry that additionally accounts for thermocouple delay due to its intrinsic time constant. The sensor uses well-designed analog filters to directly regularize raw voltage data to eliminate the need for numerical regularization methods. The sensor can also be used in a series of well-designed voltage-rate interfaces that directly measure the voltages from in-depth thermocouples, which are used in conjunction with the thermocouple calibration curve to provide higher-time derivatives of the thermocouple’s temperature while minimizing noise caused by the system and differentiation. Using a lumped energy balance about the thermocouple’s bead, a first- order model is used for relating the thermocouple temperature to the positional temperature. The required thermocouple’s time constant is estimated with the aid of a one dimensional finite difference method to solve the direct heat conduction problem and obtain the required positional temperature. Higher-time derivatives of the in- depth heat flux are produced using time integral relationships between the positional temperature and local heat flux. Finally, the surface heat flux and temperature are estimated using the finite difference based Global Time Method. To verify this concept and acquire real data, an experiment was performed using a well-designed heater sandwiched between two identical plates for producing a symmetric temperature distribution in each plate with an accurately known heat input. Encouraging results are presented from this in depth study indicating the merits of the sensor and methodology. Additionally it is demonstrated that the rate sensor data obtained from an array of indepth thermocouples may be used to determine the transition location in hypersonic flights.
*Advisors/Committee Members: Majid Keyhani, Jay I. Frankel, Rao V. Arimilli.*

Subjects/Keywords: Rate Sensor; Inverse Heat Transfer; Analog Filter; Analog Sensor; Hypersonics; Analog Derivative; Other Aerospace Engineering; Other Mechanical Engineering

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Plewa, J. E. (2012). Heat Transfer Analysis via Rate Based Sensors. (Thesis). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_gradthes/1396

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Plewa, Jake Erik. “Heat Transfer Analysis via Rate Based Sensors.” 2012. Thesis, University of Tennessee – Knoxville. Accessed February 19, 2019. https://trace.tennessee.edu/utk_gradthes/1396.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Plewa, Jake Erik. “Heat Transfer Analysis via Rate Based Sensors.” 2012. Web. 19 Feb 2019.

Vancouver:

Plewa JE. Heat Transfer Analysis via Rate Based Sensors. [Internet] [Thesis]. University of Tennessee – Knoxville; 2012. [cited 2019 Feb 19]. Available from: https://trace.tennessee.edu/utk_gradthes/1396.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Plewa JE. Heat Transfer Analysis via Rate Based Sensors. [Thesis]. University of Tennessee – Knoxville; 2012. Available from: https://trace.tennessee.edu/utk_gradthes/1396

Not specified: Masters Thesis or Doctoral Dissertation