Temperature profiles due to continuous hot water injection into homogeneous fluid-saturated porous media through a line source

Abstract We report a theoretical study aimed at determining the temperature distribution of a homogeneous, fluid-saturated porous medium initially at a low temperature, into which a constant flow rate of hot water is injected. The size of the heated region is assumed to be large compared to the radius of the injection pipe, which is idealized as a line source of mass and heat. The temperature distribution is found to be self-similar and to depend on a single dimensionless parameter which is a Peclet number.

Saved in:
Bibliographic Details
Main Authors: Medina,A., Higuera,F. J., Pliego,M., Gómez,G.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2021
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2021000300365
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract We report a theoretical study aimed at determining the temperature distribution of a homogeneous, fluid-saturated porous medium initially at a low temperature, into which a constant flow rate of hot water is injected. The size of the heated region is assumed to be large compared to the radius of the injection pipe, which is idealized as a line source of mass and heat. The temperature distribution is found to be self-similar and to depend on a single dimensionless parameter which is a Peclet number.