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Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Natural Convection of Newtonian Liquids and Nanoliquids Confined in Low-Porosity Enclosures

Authors : P. G. Siddheshwar, K. M. Lakshmi

Published in: Applied Mathematics and Scientific Computing

Publisher: Springer International Publishing

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Abstract

Natural convection of nanoliquids confined in a low-porosity enclosure when the lateral walls are subject to constant heat and mass fluxes is studied analytically using modified Buongiorno-Darcy model and Oseen-linearised approximation. For the study we considered water-copper nanoliquid and aluminium foam, glass balls as porous materials. The effective thermophysical properties are calculated using phenomenological laws and mixture theory. An analytical solution is obtained for boundary layer velocity and Nusselt number. The study shows that dilute concentration of high thermal conductivity nanoparticles significantly facilitates enhanced heat transport. The porous medium, however, diminishes heat transport when the thermal conductivity of the porous material, k pm, is less compared to that of nanoparticles, k np. When k pm ≥ k np then the presence of nanoparticles does not affect the heat transport.

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previous chapter Stratification and Cross Diffusion Effects on Magneto-Convection Stagnation-Point Flow in a Porous Medium with Chemical Reaction, Radiation, and Slip Effects
next chapter Study of Viscous Fluid Flow Past an Impervious Cylinder in Porous Region with Magnetic Field
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Metadata
Title
Natural Convection of Newtonian Liquids and Nanoliquids Confined in Low-Porosity Enclosures
Authors
P. G. Siddheshwar
K. M. Lakshmi
Copyright Year
2019
Book
Applied Mathematics and Scientific Computing

Print ISBN: 978-3-030-01122-2

Electronic ISBN: 978-3-030-01123-9

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-01123-9_26

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