Optimal Convective Heat-Transport
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2011)
- Volume: 50, Issue: 2, page 13-18
- ISSN: 0231-9721
Access Full Article
top
Abstract
topHow to cite
topDalík, Josef, and Přibyl, Oto. "Optimal Convective Heat-Transport." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 50.2 (2011): 13-18. <http://eudml.org/doc/196296>.
@article{Dalík2011,
abstract = {The one-dimensional steady-state convection-diffusion problem for the unknown temperature $y(x)$ of a medium entering the interval $(a,b)$ with the temperature $y_\{\min \}$ and flowing with a positive velocity $v(x)$ is studied. The medium is being heated with an intensity corresponding to $y_\{\max \}-y(x)$ for a constant $y_\{\max \}>y_\{\min \}$. We are looking for a velocity $v(x)$ with a given average such that the outflow temperature $y(b)$ is maximal and discuss the influence of the boundary condition at the point $b$ on the “maximizing” function $v(x)$.},
author = {Dalík, Josef, Přibyl, Oto},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {convective heat-transport; two-point convection-diffusion boundary-value problem; optimization of the amount of heat; convective heat-transport; two-point convection-diffusion boundary-value problem; optimization of the amount of heat},
language = {eng},
number = {2},
pages = {13-18},
publisher = {Palacký University Olomouc},
title = {Optimal Convective Heat-Transport},
url = {http://eudml.org/doc/196296},
volume = {50},
year = {2011},
}
TY - JOUR
AU - Dalík, Josef
AU - Přibyl, Oto
TI - Optimal Convective Heat-Transport
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2011
PB - Palacký University Olomouc
VL - 50
IS - 2
SP - 13
EP - 18
AB - The one-dimensional steady-state convection-diffusion problem for the unknown temperature $y(x)$ of a medium entering the interval $(a,b)$ with the temperature $y_{\min }$ and flowing with a positive velocity $v(x)$ is studied. The medium is being heated with an intensity corresponding to $y_{\max }-y(x)$ for a constant $y_{\max }>y_{\min }$. We are looking for a velocity $v(x)$ with a given average such that the outflow temperature $y(b)$ is maximal and discuss the influence of the boundary condition at the point $b$ on the “maximizing” function $v(x)$.
LA - eng
KW - convective heat-transport; two-point convection-diffusion boundary-value problem; optimization of the amount of heat; convective heat-transport; two-point convection-diffusion boundary-value problem; optimization of the amount of heat
UR - http://eudml.org/doc/196296
ER -
References
top- Deuflhard, P., Weiser, M., Numerische Matematik 3, Adaptive Lösung partieller Differentialgleichungen, De Gruyter, Berlin, 2011. (2011) MR2779847
- Ferziger, J. H., Perić, M., Computational Methods for Fluid Dynamics, Springer, Berlin, 2002, 3rd Edition. (2002) Zbl0998.76001MR1384758
- Kamke, E., Handbook on Ordinary Differential Equations, Nauka, Moscow, 1971, (in Russian). (1971)
- Roos, H.-G., Stynes, M., Tobiska, L., Numerical Methods for Singularly Perturbed Differential Equations, Springer, Berlin, 1996. (1996) Zbl0844.65075MR1477665
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.