Heat Source Location Effects on Buoyant Convection of Nanofluids in an Annulus

Mebarek‐Oudina, Fateh; Reddy, N. Keerthi; Sankar, M.

doi:10.1007/978-981-15-4308-1_70

Cited by 47 publications

(16 citation statements)

References 28 publications

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“…The coupled and nonlinear partial differential equations (PDEs) and associated supplementary conditions governing the physical processes are numerically solved by utilizing a suitable implicit finite difference method (FDM). In particular, the transient PDEs, such as vorticity and temperature equations are discretized using alternating direction implicit (ADI) method and successive line over relaxation (SLOR) method is adopted to solve steady-state stream function equation 21 , 22 , 60 . These FDM based techniques reduce the PDEs to a system of linear algebraic FD equations with tridiagonal structure and using tri-diagonal matrix algorithm (TDMA), the solutions are obtained.…”

Section: Formulation Of Problem and Numerical Proceduresmentioning

confidence: 99%

“…Cadena-de la Pe a et al 19 conducted experiments to analyze cooling mechanisms of oil-based nanoliquids by considering two different NPs and found thermal transport enhancement with NFs. The impacts of discrete thermal sources of different lengths and locations on buoyant motion of NFs in an annular domain reveals interesting flow features and enhanced thermal transport as compared to uniform or complete heating 20 , 21 . Recently, Keerthi and Sankar 22 presented numerical simulations to reveal the consequences of different non-uniform heating of annular boundaries on the convective motions of Cu-based NF and identified an appropriate heating condition to enhance the thermal dissipation rates.…”

Section: Introductionmentioning

confidence: 99%

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Conjugate buoyant convective transport of nanofluids in an enclosed annular geometry

Sankar

Reddy

2021

Sci Rep

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A vertical annular configuration with differently heated cylindrical surfaces and horizontal adiabatic boundaries is systematically studied in view to their industrial applications. In this paper, we investigate the effects of conjugate buoyant heat transport in water based nanofluids with different nanoparticles such as alumina, titania or copper, and is filled in the enclosed annular gap. The annulus space is formed by a thick inner cylinder having a uniform high temperature, an exterior cylindrical tube with a constant lower temperature, and thermally insulated upper and lower surfaces. By investigating heat transport for broad spectrum of Rayleigh number, solid wall thickness, thermal conductivity ratio and nanoparticle volume fraction, we found that the influence of wall thickness on thermal dissipation rate along wall and interface greatly depends on conductivity ratio and vice-versa. In particular, we uncover that the choice of nanoparticle in a nanofluid and its concentration are key factors in enhancing the thermal transport along the interface. Specially, copper based nanofluids produces higher heat transport among other nanoparticles, and for the range of nanoparticle concentration chosen in this analysis, enhanced thermal dissipation along the interface has been detected as nanoparticle volume fraction is increased. Our results are applicable to choose nanofluids along with other critical parameters for the desired heat transport.

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Section: Formulation Of Problem and Numerical Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Conjugate buoyant convective transport of nanofluids in an enclosed annular geometry

Sankar

Reddy

2021

Sci Rep

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“…The impacts of discrete thermal sources of different lengths and locations on buoyant motion of nanofluids in an annular domain reveals interesting flow features and enhanced thermal transport as compared to uniform or complete heating. 17,18 Recently, Keerthi and Sankar 19 presented numerical simulations to reveal the consequences of different non-uniform heating of annular boundaries on the convective motions of Cu-based nanofluid and identified an appropriate heating condition to enhance the thermal dissipation rates. The convective motions of various nanofluids in horizontal and tilted annular configurations with and without fins have also been reported.…”

Section: Introductionmentioning

confidence: 99%

Conjugate Buoyant Convective Transport of Different Nanofluids in An Enclosed Annular Geometry

Sankar¹,

Reddy²,

Do³

2021

Preprint

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A vertical annular configuration with differently heated cylindrical surfaces and horizontal adiabatic boundaries is extensively studied due to many industrial applications. In this paper, we investigate the effects of conjugate buoyant heat transport within water based nanofluid with different nanoparticles such as alumina, titanium oxide or copper, which is contained in the gap of the enclosed annulus. The enclosed annulus is constituted by a thick inner cylinder with a constant high temperature, an exterior boundary with a constant low temperature and thermally insulated upper and lower surfaces. By investigating heat transport for broad spectrum of Rayleigh number, solid wall thickness, thermal conductivity ratio and nanoparticle volume fraction, we found that the influence of wall thickness on thermal dissipation rate along wall and interface greatly depend on conductivity ratio and vice-versa. In particular, we uncover that the choice of nanoparticle in a nanofluid and its concentration are key factors in enhancing the thermal transport along the interface. Specially, copper based nanofluids produces higher heat transport among other nanoparticles, and increasing nanoparticle concentration leads to enhanced thermal dissipation along interface. Our results are applicable to choose nanofluids along with other critical parameters for the desired heat transport.

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“…e DEs have ability to formulate many complex phenomena in various fields such as biology, fluid mechanics, plasma physics, fluid mechanics, and optics; many exact and numerical schemes have been being derived such as [9][10][11][12][13][14][15]. Differential equation of second order appears in models as well as in physical applications such as fluid dynamics, electromagnetism, acoustic vibrations and quantum mechanics, biological, physical and chemical phenomena, optimization, mathematics of networks, and dynamical systems (see [16][17][18][19][20][21][22][23][24]).…”

Section: Introductionmentioning

confidence: 99%

Second-Order Differential Equation: Oscillation Theorems and Applications

Santra

Bazighifan

Ahmad

et al. 2020

Mathematical Problems in Engineering

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Differential equations of second order appear in a wide variety of applications in physics, mathematics, and engineering. In this paper, necessary and sufficient conditions are established for oscillations of solutions to second-order half-linear delay differential equations of the form ς y u ′ y a ′ + p y u c ϑ y = 0 , for y ≥ y 0 , under the assumption ∫ ∞ ς η − 1 / a = ∞ . Two cases are considered for a < c and a > c , where a and c are the quotients of two positive odd integers. Two examples are given to show the effectiveness and applicability of the result.

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Heat Source Location Effects on Buoyant Convection of Nanofluids in an Annulus

Cited by 47 publications

References 28 publications

Conjugate buoyant convective transport of nanofluids in an enclosed annular geometry

Conjugate buoyant convective transport of nanofluids in an enclosed annular geometry

Conjugate Buoyant Convective Transport of Different Nanofluids in An Enclosed Annular Geometry

Second-Order Differential Equation: Oscillation Theorems and Applications

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