Graetz Problem in Curved Square Channels

1975 ◽  
Vol 97 (2) ◽  
pp. 244-248 ◽  
Author(s):  
K. C. Cheng ◽  
R. C. Lin ◽  
J. W. Ou
Keyword(s):  
Heat Flux ◽  
Nusselt Number ◽  
Transfer Problem ◽  
Correlation Equation ◽  
Wall Heat Flux ◽  
Constant Wall Temperature ◽  
Thermal Boundary Conditions ◽  
Circular Pipes ◽  
Uniform Wall ◽  
Uniform Wall Heat Flux

Thermal entrance region heat transfer problem in curved square channels is solved by a numerical method for the two basic thermal boundary conditions of constant wall temperature and uniform wall heat flux by including the curvature ratio effect in the formulation as an independent parameter. Solutions are obtained for Pr = 0.1, 0.7, 5, 10.05 and 500 and Dean numbers ranging from 0–488. Local Nusselt number results are qualitatively similar to those reported in the literature for the case of curved circular pipes. The numerical results for the asymptotic Nusselt number agree well with the only experimental data available for the case of uniform wall heat flux. A correlation equation for the asymptotic Nusselt number is proposed.

Laminar Convective Heat Transfer of a Bingham Plastic in a Circular Pipe With Uniform Wall Heat Flux: The Graetz Problem Extended

1999 ◽  
Vol 121 (3) ◽  
pp. 556-563 ◽  
Author(s):  
T. Min ◽  
J. Y. Yoo
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Nusselt Number ◽  
Yield Stress ◽  
Wall Heat Flux ◽  
Circular Pipe ◽  
Bingham Plastic ◽  
Graetz Problem ◽  
Uniform Wall ◽  
Uniform Wall Heat Flux

Thermally developing laminar flow of a Bingham plastic in a circular pipe with uniform wall heat flux has been studied analytically. Expressions for the fully developed temperature and Nusselt number are presented in terms of the yield stress, Peclet number, and Brinkman number. The solution to the Graetz problem has been obtained by using the method of separation of variables, where the resulting eigenvalue problem is solved approximately by using the method of weighted residuals. The effects of the yield stress, Peclet, and Brinkman numbers on the Nusselt number are discussed. In particular, it is shown that the heat transfer characteristics in the entrance region are significantly affected by the yield stress with the inclusion of viscous dissipation.

An experimental investigation of a solar chimney model with uniform wall heat flux

2003 ◽  
Vol 38 (7) ◽  
pp. 893-906 ◽  
Author(s):  
Z.D. Chen ◽  
P. Bandopadhayay ◽  
J. Halldorsson ◽  
C. Byrjalsen ◽  
P. Heiselberg ◽  
...  
Keyword(s):  
Heat Flux ◽  
Experimental Investigation ◽  
Wall Heat Flux ◽  
Solar Chimney ◽  
Uniform Wall ◽  
Uniform Wall Heat Flux
Sign in / Sign up

Export Citation Format

Share Document