Journal
PHYSICA SCRIPTA
Volume 96, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1402-4896/abfe31
Keywords
heated flat plate; boundary layers; taylor series expansion (TaSE); similarity solution; ODEs; simplified formulation
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This study proposed a simplified formulation of the similarity solution for the boundary layers problem occurring along a vertical heated flat plate under buoyancy effect. The accuracy of the new formulation was verified using a Taylor Series Expansion Model.
This work aims to propose a simplified formulation of the similarity solution for the boundary layers problem occurring along a vertical heated flat plate under buoyancy effect. A new formulation is analytically developed. The case of the isothermal vertical infinite flat plate is investigated using a Taylor Series Expansion Model (TaSE) from which excellent agreement is reached with the results of the fifth Runge-Kutta-Fehlberg Method (RKF45) and experimental data. The boundary layer phenomena that occur along the vertical isothermal walls of the differentially heated cavity cannot be considered as portions of an infinite hot / cold plate due to the transverse entry of cold fluid and the intrusion flow under the ceiling.
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