Conjugate forced convection flow past a circular cylinder with internal heat generation in a porous medium

Abstract

PurposeThe aim is to determine the effect of different conductivity ratios on forced convection past a circular cylinder embedded in a porous medium, where the solid cylinder forms a uniform heat source.Design/methodology/approachThe authors employ an unsteady finite difference method to obtain the resulting steady‐state solutions. Interface conditions are applied using the fictitious point method.FindingsIt is found that, the thermal field within the cylinder and in the external porous region depend strongly on the ratio of the respective conductivities. In the extreme cases the cylinder acts either as one with a uniform temperature (high‐cylinder conductivity) or with a uniform heat flux (low‐cylinder conductivity).Research limitations/implicationsConductivity ratios in the range 0.1≤γ≤100 and Péclet numbers in the range, 1≤Pe≤1,000 were taken.Originality/valueForced convection studies usually focus on cases where the solid phase has a prescribed temperature or heat flux. The present paper employs a uniform heat generation within the cylinder to determine how the therrmal field depends on the Péclet number and the conductivity ratio.

Transient forced convection from an infinite cylindrical heat source in a saturated Darcian porous medium

“…geothermal energy, ground-source heat pump applications, nuclear engineering, storage of nuclear waste material, groundwater flows, pollutant dispersion in the ground, solar power collectors, compact heat exchangers, food industries and many others [1 3]. However, according to [1,4] and to our best knowledge, only a few numbers of studies on forced convection have been published and none of them discuss in detail the basic problem of a cylindrical heat generating surface (i.e. imposed heat flux) embedded in a Darcian flow (see Fig.…”

Counter-extrapolation method for conjugate heat and mass transfer with interfacial discontinuity

“…Conjugate heat and mass transfer between two media with different transport properties can be found in many natural, biological, and industrial systems (Holman, 1968;Stein, 1985;Becker and Kuznetsov, 2013;Nonino et al, 2015;Kadir et al, 2008;Song and Li, 2002). Across a conjugate interface, the heat or mass flux should be continuous due to the energy or mass conservation principle, except some less common situations with chemical reactions on the interface (Chen et al, 2013b(Chen et al, , 2014Kang et al, 2010;Huber et al, 2014;Di Palma et al, 2015).…”