Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/39816
Title: | Group method of uniform surface heat flux from a vertical cone using laminar free convection |
Author: | Maheshwaran, Tirupathi Pullepu, Bapuji Pinelas, Sandra |
Keywords: | Group method Heat transfer Natural convection Ordinary differential equations Partial differential equations Vertical cone |
Issue Date: | 2023 |
Publisher: | IIETA |
Abstract: | In this study, the Group Transformation method is employed to simulate the laminar free convection problem involving a viscous incompressible fluid on a vertically oriented cone with a uniform heat flux on its surface. The non-dimensional governing partial differential equations (PDEs) and their boundary conditions are reduced to ordinary differential equations (ODEs) with corresponding appropriate conditions. To solve the resulting non-linear ODEs, the Range-Kutta shooting method is applied. The temperature and velocity fields are graphically presented for various parameters, such as the semi-vertical angle and Prandtl number. Furthermore, the local Nusselt number and skin fraction are analyzed numerically. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/39816 |
DOI: | 10.18280/mmep.100303 |
ISSN: | 2369-0739 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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157. mmep_10.03_03.pdf | 1.27 MB | Adobe PDF | View/Open |
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