Identifier
etd-11162015-103146
Degree
Master of Science in Mechanical Engineering (MSME)
Department
Mechanical Engineering
Document Type
Thesis
Abstract
Abstract The heated flat plate under uniform flow has been vastly studied, with the Blasius and Pohlhausen solutions developed over 100 years ago. These solutions are numerical in nature. Here, an analytic solution is found for the temperature and velocity profiles at the leading edge of a heated flat plate under forced uniform flow. By defining a similarity variable the governing equations are reduced to a dimensionless equation with an analytic solution at the leading edge. This report gives justification for the similarity variable via scaling analysis, details the process of converting to similarity form, and presents a similarity solution. The analytic fluid and thermal solutions are then checked against a numerical solution obtained via computational dynamics.
Date
2015
Document Availability at the Time of Submission
Secure the entire work for patent and/or proprietary purposes for a period of one year. Student has submitted appropriate documentation which states: During this period the copyright owner also agrees not to exercise her/his ownership rights, including public use in works, without prior authorization from LSU. At the end of the one year period, either we or LSU may request an automatic extension for one additional year. At the end of the one year secure period (or its extension, if such is requested), the work will be released for access worldwide.
Recommended Citation
Jessee, Robert, "An Analytic Solution of the Thermal Boundary Layer at the Leading Edge of a Heated Semi-Infinite Flat Plate under Forced Uniform Flow" (2015). LSU Master's Theses. 2013.
https://repository.lsu.edu/gradschool_theses/2013
Committee Chair
Wong, Harris
DOI
10.31390/gradschool_theses.2013