We consider fully developed steady laminar flow through a uniformly heated horizontal pipe is simplified by assuming infinite Prandtl number. The solution is expanded in powers of a single combined similarity parameter which is the product of the Prandtl, Rayleigh, and Reynolds numbers and the series extended by means of symbolic calculation up to 16 terms. Analysis of these expansions allows the exact computation for arbitrarily accuracy up to 50000 figures. Although the range of exactness is almost the same order of the radius of convergence but Pade approximation lead our result to be good even for much higher value of the similarity parameter.
- Fluids Engineering Division
Symbolic Calculation of Laminar Convection in Uniformly Heated Horizontal Pipe at High Prandtl Number
- Views Icon Views
- Share Icon Share
- Search Site
Mansour, K. "Symbolic Calculation of Laminar Convection in Uniformly Heated Horizontal Pipe at High Prandtl Number." Proceedings of the ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia – Parts A, B, and C. Montreal, Quebec, Canada. August 1–5, 2010. pp. 1703-1708. ASME. https://doi.org/10.1115/FEDSM-ICNMM2010-31062
Download citation file: