Master of Science in Mechanical Engineering (MSME)
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.
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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.