Open AccessInfluence of Heat Source/Sink on Free Convection in Annular Porous Region
Author(s) -
Anurag Anurag,
Shyam Lal Yadav,
Ashok Kumar Singh
Publication year - 2021
Publication title -
heat and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 29
ISSN - 0392-8764
DOI - 10.18280/ijht.390318
Subject(s) - heat sink , sink (geography) , mechanics , laminar flow , thermodynamics , darcy number , porous medium , isothermal process , darcy's law , natural convection , convection , materials science , heat flux , porosity , heat transfer , geology , rayleigh number , geotechnical engineering , physics , cartography , geography
The significant interpretation of this model is to explore the influence of temperature-dependent heat source/sink on laminar free-convective flow in an annular porous region such as petroleum engineering, thermal technique and groundwater hydrology. For a unified solution of the Brinkman-Darcy model, the regulatory equations solved analytically by applying the variation of parameter technique in terms of Bessel's functions for the heat source and sink. Moreover, we have investigated the Variations of Darcy number, Heat source/sink and viscosity ratio in the presence of isothermal and constant heat flux sequentially. As a result, we received the critical value of the velocity for the radii ratio (R = 2.05 and 2.92) in both the cases of source and sink (S = 1.0 and Si = 0.1) respectively which is exhibited through the graphs. Further, the numerical outcomes present of the skin friction including volume flow with annular gap by the graphs as well as tables.