ASYMPTOTIC AND NUMERICAL SOLUTIONS FOR THERMALLY DEVELOPING FLOWS OF NEWTONIAN AND NON-NEWTONIAN FLUIDS IN CIRCULAR TUBES WITH UNIFORM WALL TEMPERATURE

1994 ◽  
Vol 26 (2) ◽  
pp. 199-217 ◽  
Author(s):  
J. Prusa ◽  
R. M. Manglik
Keyword(s):  
Wall Temperature ◽  
Numerical Solutions ◽  
Newtonian Fluids ◽  
Circular Tubes ◽  
Uniform Wall Temperature ◽  
Uniform Wall

Laminar Compressible Boundary Layers with Non-Uniform Wall Temperatures

1971 ◽  
Vol 22 (1) ◽  
pp. 1-11 ◽  
Author(s):  
T. Hughes
Keyword(s):  
Boundary Layer ◽  
Wall Temperature ◽  
Numerical Solutions ◽  
Temperature Gradients ◽  
Temperature Changes ◽  
Uniform Wall Temperature ◽  
Boundary Layer Equations ◽  
Compressible Boundary Layers ◽  
Uniform Wall ◽  
Heat Transfer Parameter

SummaryThe results obtained from exact numerical solutions to the laminar boundary layer equations are compared with those given by the approximate method of Luxton and Young and the comparison shows that the latter method may be used for cases involving non-constant wall temperatures. This satisfactory result arises essentially from the fact demonstrated by the calculations that the skin friction is relatively insensitive to wall temperature gradients. It is also shown from these results that there is a lag in the propagation of wall temperature changes through the boundary layer. In consequence the Stanton number is a heat transfer parameter of doubtful value in cases of non-uniform wall temperature.

Influence of Uniform Blowing/Suction on the Free Convection of Non-Newtonian Fluids Over a Vertical Cone in Porous Media With Thermal Radiation and Soret/Dufour Effects: Uniform Wall Temperature/Uniform Wall Concentration

2016 ◽  
Vol 139 (3) ◽  
Author(s):  
Chuo-Jeng Huang
Keyword(s):  
Mass Transfer ◽  
Free Convection ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Power Law ◽  
Wall Temperature ◽  
Newtonian Fluids ◽  
Vertical Cone ◽  
Uniform Wall Temperature ◽  
Uniform Wall

This work studies numerically the combined heat and mass transfer of uniform blowing/suction, non-Newtonian power-law fluid, and thermal radiation effects on free convection adjacent to a vertical cone within a porous medium in the presence of Soret/Dufour effects. The surface of the vertical cone has a uniform wall temperature and uniform wall concentration (UWT/UWC). The Rosseland diffusion approximation is employed to describe the radiative heat flux. A nonsimilarity analysis is performed, and the transformed governing equations are solved by Keller box method (KBM). The effects of these major parameters of the Dufour parameter, Soret parameter, Lewis number, buoyancy ratio, power-law index of the non-Newtonian fluids, blowing/suction parameter, and thermal radiation parameter on the heat and mass transfer characteristics have been carried out. In general, for the case of blowing, both the local Nusselt number and the local Sherwood number decrease. This trend reversed for suction of fluid. The physical aspects of the problem are discussed in detail.

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