Free convection flow of nonNewtonian fluids along a vertical plate embedded in a porous medium
Abstract
The problem of free convection flow of a nonNewtonian power law fluid along an isothermal vertical flat plate embedded in the porous medium is considered in the present study. The physical coordinate system is shown schematically in Fig 1. In the present study, it is assumed that the modified Darcy law and the boundary layer approximation are applicable. This implies that the present solutions are valid at a high Rayleigh number. With these simplifications, the governing partial nonlinear differential equations can be transformed into a set of coupled ordinary differential equations which can be solved by the fourthorder RungeKutta method. Algebraic equations for heat transfer rate and boundary layer thickness as a function of the prescribed wall temperature and physical properties of liquidporous medium are obtained. The similarity solutions can be applied to problems in geophysics and engineering. The primary purpose of the present study is to predict the characteristics of steady natural convection heat transfer using the model of the flow of a nonNewtonian power law fluid in a porous medium given by Dharmadhikari and Kale (1985). Secondly, the effects of the new power law index n on heat transfer are investigated.
 Authors:

 National ChengKung Univ., Tainan (Taiwan)
 Publication Date:
 OSTI Identifier:
 5981575
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)
 Additional Journal Information:
 Journal Volume: 110:1; Journal ID: ISSN 00221481
 Country of Publication:
 United States
 Language:
 English
 Subject:
 02 PETROLEUM; POROUS MATERIALS; NATURAL CONVECTION; RESERVOIR ROCK; OIL WELLS; PLATES; THERMODYNAMIC PROPERTIES; CONVECTION; ENERGY TRANSFER; HEAT TRANSFER; MASS TRANSFER; MATERIALS; PHYSICAL PROPERTIES; WELLS; 020300*  Petroleum Drilling & Production
Citation Formats
Chen, HanTaw, and Chen, Cha'oKuang. Free convection flow of nonNewtonian fluids along a vertical plate embedded in a porous medium. United States: N. p., 1988.
Web. doi:10.1115/1.3250462.
Chen, HanTaw, & Chen, Cha'oKuang. Free convection flow of nonNewtonian fluids along a vertical plate embedded in a porous medium. United States. doi:10.1115/1.3250462.
Chen, HanTaw, and Chen, Cha'oKuang. Mon .
"Free convection flow of nonNewtonian fluids along a vertical plate embedded in a porous medium". United States. doi:10.1115/1.3250462.
@article{osti_5981575,
title = {Free convection flow of nonNewtonian fluids along a vertical plate embedded in a porous medium},
author = {Chen, HanTaw and Chen, Cha'oKuang},
abstractNote = {The problem of free convection flow of a nonNewtonian power law fluid along an isothermal vertical flat plate embedded in the porous medium is considered in the present study. The physical coordinate system is shown schematically in Fig 1. In the present study, it is assumed that the modified Darcy law and the boundary layer approximation are applicable. This implies that the present solutions are valid at a high Rayleigh number. With these simplifications, the governing partial nonlinear differential equations can be transformed into a set of coupled ordinary differential equations which can be solved by the fourthorder RungeKutta method. Algebraic equations for heat transfer rate and boundary layer thickness as a function of the prescribed wall temperature and physical properties of liquidporous medium are obtained. The similarity solutions can be applied to problems in geophysics and engineering. The primary purpose of the present study is to predict the characteristics of steady natural convection heat transfer using the model of the flow of a nonNewtonian power law fluid in a porous medium given by Dharmadhikari and Kale (1985). Secondly, the effects of the new power law index n on heat transfer are investigated.},
doi = {10.1115/1.3250462},
journal = {Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)},
issn = {00221481},
number = ,
volume = 110:1,
place = {United States},
year = {1988},
month = {2}
}