Forced convection past a slender body in a saturated porous medium
Journal Article
·
· SIAM Journal of Applied Mathematics
- Sandia National Labs., Albuquerque, NM (United States). Applied and Numerical Mathematics Div.
The analysis presented in this paper was motivated by a groundwater velocity probe that is currently being designed at Sandia National Laboratories in Albuquerque, New Mexico. The probe under consideration is buried in the ground, and a constant flux of heat is supplied at the surface of the probe. Here, the author presents solutions for the temperature field due to Darcy flow past a slender body with a prescribed flux distribution embedded in a saturated porous medium. The results of the analysis are compared to both a perturbation analysis of low Peclet number flow past a prolate spheroid and to direct numerical simulations of the same problem. The slender body approximation is found to be in excellent agreement with these results.
- Research Organization:
- Sandia National Laboratory
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 109963
- Journal Information:
- SIAM Journal of Applied Mathematics, Journal Name: SIAM Journal of Applied Mathematics Journal Issue: 4 Vol. 55; ISSN SMJMAP; ISSN 0036-1399
- Country of Publication:
- United States
- Language:
- English
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