Heat Transfer for Laminar Flow in a Curved Pipe

1968 ◽  
Vol 90 (3) ◽  
pp. 313-318 ◽  
Author(s):  
M. N. O¨zisik ◽  
H. C. Topakog˘lu
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Laminar Flow ◽  
Cross Section ◽  
Series Expansion ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Curved Pipe ◽  
The Mean ◽  
Analytical Expressions

Heat transfer for hydrodynamically and thermally fully developed laminar flow in a curved pipe is solved by a method of series expansion. The wall temperature around the periphery of any cross section, the mean heat flux along the pipe, and the internal heat generation are assumed to be uniform. The first few terms of the series expansion are determined and analytical expressions for the temperature distribution in the fluid and for the Nusselt number are presented; the results are applicable for small curvatures. A correlation with experiment is included.

Heat Transfer on Nanofluid Flow With Homogeneous–Heterogeneous Reactions and Internal Heat Generation

2014 ◽  
Vol 136 (12) ◽  
Author(s):  
Raj Nandkeolyar ◽  
Peri K. Kameswaran ◽  
Sachin Shaw ◽  
Precious Sibanda
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Heterogeneous Reactions ◽  
Transfer Coefficients ◽  
Transfer Characteristics ◽  
Fluid Properties

We investigated heat and mass transfer on water based nanofluid due to the combined effects of homogeneous–heterogeneous reactions, an external magnetic field and internal heat generation. The flow is generated by the movement of a linearly stretched surface, and the nanofluid contains nanoparticles of copper and gold. Exact solutions of the transformed model equations were obtained in terms of hypergeometric functions. To gain more insights regarding subtle impact of fluid and material parameters on the heat and mass transfer characteristics, and the fluid properties, the equations were further solved numerically using the matlab bvp4c solver. The similarities and differences in the behavior, including the heat and mass transfer characteristics, of the copper–water and gold–water nanofluids with respect to changes in the flow parameters were investigated. Finally, we obtained the numerical values of the skin friction and heat transfer coefficients.

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