Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Volumes:
Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i10.60
pages 957-973

DEVELOPMENT OF DIMENSIONLESS NUMBERS FOR HEAT TRANSFER IN POROUS MEDIA USING A MEMORY CONCEPT

M. Enamul Hossain
Department of Petroleum Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia; Memorial University of Newfoundland, St. John's, Newfoundland and Labrador, Canada; Department of Petroleum and Energy Engineering, The American University in Cairo, Cairo, Egypt
Sidqi A. Abu-Khamsin
Department of Petroleum Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Kingdom of Saudi Arabia

ABSTRACT

Various dimensionless numbers such as the Nusselt, Prandtl, and Peclet numbers, play a significant role in the analysis of heat transfer in any non-isothermal physical system. This transport phenomenon is modeled by a very complex set of differential equations that could involve a large number of variables and for which analytical solutions may be unattainable. Therefore, the model equations are often linearized by neglecting one or more terms (such as convection) or by employing simplifying assumptions. With the advent of advanced computational tools, it is possible to tackle such mathematical challenges numerically. Using a mathematical model based on nonlinear energy balance equations, new dimensionless numbers were developed to describe the role of various heat transport mechanisms (such as conduction and convection) in thermal recovery processes in porous media. The results show that the proposed numbers are sensitive to most of the reservoir rock/fluid properties such as porosity, permeability, densities, heat capacities, etc. Therefore, the proposed dimensionless numbers help to characterize the rheological behavior of the rock−fluid system. This work will enhance the understanding of the effect of heat transfer on the alteration of effective permeability during thermal recovery operations in a hydrocarbon reservoir.


Articles with similar content:

UTILIZATION OF MEMORY CONCEPT TO DEVELOP HEAT TRANSFER DIMENSIONLESS NUMBERS FOR POROUS MEDIA UNDERGOING THERMAL FLOODING WITH EQUAL ROCK AND FLUID TEMPERATURES
Journal of Porous Media, Vol.15, 2012, issue 10
Sidqi A. Abu-Khamsin, M. Enamul Hossain
A MATHEMATICAL MODEL FOR THERMAL FLOODING WITH EQUAL ROCK AND FLUID TEMPERATURES
Journal of Porous Media, Vol.18, 2015, issue 7
Sidqi A. Abu-Khamsin, Abdul-Aziz Al-Helali, M. Enamul Hossain
COMPLEX HEAT TRANSFER PROCESSES IN HEAT-GENERATING HORIZONTAL FLUID LAYERS
Annual Review of Heat Transfer, Vol.1, 1987, issue 1
T. C. Chawla, Fan Bill Cheung
Simulation of a turbulent rod bundle flow at a low molecular Prandtl number
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2012, issue
T. Baumann, Herbert Oertel jr., Simon Taufall, Thomas Wetzel, Robert Stieglitz
TRANSIENT BEHAVIOUR OF HEAT EXCHANGERS
ICHMT DIGITAL LIBRARY ONLINE, Vol.8, 1996, issue
A. Yalcin Gogus, O. Ercan Ataer