Parameter Estimation in a One-Dimensional Transient Convection Model of a Slender Cylindrical Fin with a Time-Dependent Boundary Temperature
Department
Mechanical and Aerospace Engineering
Major
Mechanical Engineering; Math Minor
Research Advisor
Stutts, Daniel S.
Advisor's Department
Mechanical and Aerospace Engineering
Funding Source
Dept. of Mechanical and Aerospace Engineering for ME4842 Lab
Abstract
This study describes one of the few transient convection models having a closed-form solution: that for a slender cylindrical metal rod (fin) with specified time-dependent boundary temperature on one boundary, and adiabatic on the other. The convection coefficient and thermal conductivity can be estimated using a modified Levenberg-Marquardt nonlinear least squares algorithm to minimize the difference between the model and experimentally measured temperatures under forced convection. Reasonable values for the convection coefficient were obtained, and the estimated thermal conduction coefficient compared well with published values for the rod materials used.
Biography
Lauren Tomanek is a first semester Ph.D. student working with Dr. Daniel Stutts. She graduated with her bachelor’s in Mechanical Engineering in December 2017 from Missouri S&T and is now a graduate teaching assistant for the ME 4842 class.
Research Category
Engineering
Presentation Type
Oral Presentation
Document Type
Presentation
Location
Carver Room
Presentation Date
17 Apr 2018, 11:00 am - 11:30 am
Parameter Estimation in a One-Dimensional Transient Convection Model of a Slender Cylindrical Fin with a Time-Dependent Boundary Temperature
Carver Room
This study describes one of the few transient convection models having a closed-form solution: that for a slender cylindrical metal rod (fin) with specified time-dependent boundary temperature on one boundary, and adiabatic on the other. The convection coefficient and thermal conductivity can be estimated using a modified Levenberg-Marquardt nonlinear least squares algorithm to minimize the difference between the model and experimentally measured temperatures under forced convection. Reasonable values for the convection coefficient were obtained, and the estimated thermal conduction coefficient compared well with published values for the rod materials used.
