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Low-Peclet-number convection past a spheroid in a saturated porous medium

Technical Report ·
OSTI ID:5839222
The method of matched asymptotic expansions is used to obtain the temperature profiles for flow past a prolate spheroid with constant heat flux at its surface. The expansions are valid for small Peclet and Rayleigh numbers. For the special case of a sphere, the expansions are obtained analytically. In the general case, it is necessary to numerically sum several series. Finally, it is shown how these solutions could be used to measure groundwater velocities.
Research Organization:
Sandia National Labs., Albuquerque, NM (USA)
DOE Contract Number:
AC04-76DP00789
OSTI ID:
5839222
Report Number(s):
SAND-83-0291; ON: DE83015788
Country of Publication:
United States
Language:
English

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Related Subjects

440300* -- Miscellaneous Instruments-- (-1989)
47 OTHER INSTRUMENTATION
CONVECTION
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
GROUND WATER
HYDROGEN COMPOUNDS
MATERIALS
MEASURING INSTRUMENTS
OXYGEN COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
POROUS MATERIALS
SERIES EXPANSION
SPHEROIDS
VELOCIMETERS
WATER