Free convection from a vertical permeable circular cone with non-uniform surface temperature

Citation
Ma. Hossain et Sc. Paul, Free convection from a vertical permeable circular cone with non-uniform surface temperature, ACT MECHAN, 151(1-2), 2001, pp. 103-114
Citations number
18
Categorie Soggetti
Mechanical Engineering
Journal title
ACTA MECHANICA
ISSN journal
00015970 → ACNP
Volume
151
Issue
1-2
Year of publication
2001
Pages
103 - 114
Database
ISI
SICI code
0001-5970(2001)151:1-2<103:FCFAVP>2.0.ZU;2-J
Abstract
Laminar free convection from a vertical permeable circular cone maintained at nonuniform surface temperature is considered. Non-similar solutions for boundary-layer equations are found to exist when the surface temperature fo llows the power law variations with the distance measured from the leading edge. The numerical solutions of the transformed non-similar boundary-layer equations are obtained by using three methods, namely, (i) a finite differ ence method, (ii) a series solution method, and (iii) an asymptotic solutio n method. Solutions are obtained in terms of skin friction, heat transfer, velocity profile and temperature profile for smaller values of Prandtl numb er and temperature gradient are displayed in both tabular and graphical for ms. Finite difference solutions are compared with the solutions obtained by perturbation and asymptotic techniques and found to be in excellent agreem ent.