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- Title
Natural Convection Flow of Power-Law Fluids over a Heated Horizontal Plate Surface.
- Authors
Dholey, Shibdas
- Abstract
The current work attempts to investigate the existence of similarity solution for the natural convection boundary layer flow of a power-law fluid over a heated horizontal semi-infinite plate surface. Three types of surface temperature variation are considered, namely (i) constant surface temperature (CST), (ii) power-law variation of surface temperature (PST) and (iii) power-law variation of surface heat flux (PHF). A reduction of the governing partial differential equations is achieved by using a suitable similarity transformation. But, a careful mathematical verification confirms that the similarity solution does not exist in the CST case and for the PST case it exists only under a particular value of the wall temperature parameter r = 1/3. It also ensured the existence of similarity solution for the PHF case and this will happen only when the plate surface is held at a constant heat flux situation. A new fundamental parameter S arises from the dimensionless analysis which is reduced to the reciprocal of the usual Prandtl number Pr for Newtonian fluids. A novel result of this analysis is that the salient features of the Grashof number Gr which differentiates the thermal responses of the shear-thinning fluid (0 < n < 1) flows from the shear-thickening fluid (n > 1) flows while the Newtonian fluid (n = 1) flows remain unaffected by this parameter no matter what be the value of S.
- Subjects
SURFACE plates; FLUID flow; NEWTONIAN fluids; BOUNDARY layer (Aerodynamics); NATURAL heat convection; HEAT flux; NON-Newtonian flow (Fluid dynamics)
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2019, Vol 74, Issue 11, p971
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2019-0045