Similarity solution for free convection from a point heat source embedded in a non-Newtonian fluid-saturated porous medium

Journal Article · Sat May 01 00:00:00 EDT 1993 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.2910715· OSTI ID:5828230

Nakayama, A ^[1]

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1. Shizuoka Univ. (Japan)

Convection problems associated with concentrated heat sources within fluid-saturated porous media are of great practical significance, for there are a number of practical applications in geophysics and energy-related problems, such as recovery of petroleum resources, geophysical flows, cooling of underground electric cables, and environmental impact of buried heat generating waste. In this note, a boundary layer analysis is presented for free convection from a point heat source embedded in a porous medium saturated with a non-Newtonian power-law fluid. The governing equations are found to possess a similarity solution for an arbitrary value of the power-law index. Closed-form solutions are presented for both flow and temperature fields, and the effects of pseudoplasticity on the plumes are examined. 17 refs., 5 figs.

• OSTI ID: 5828230
• Journal Information: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Vol. 115:2; ISSN 0022-1481
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HEAT TRANSFER
CONVECTION
DARCY LAW
FLUIDS
HEAT SOURCES
MATHEMATICAL MODELS
POROUS MATERIALS
ENERGY TRANSFER
MASS TRANSFER
MATERIALS
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers