Free convection in wavy porous enclosures with non-uniform temperature boundary conditions filled with A nanofluid: Buongiorno'S mathematical model

Research output: Contribution to journalArticle

Abstract

In the present work, the influence of the amplitude ratio, phase deviation, and undulation number on natural convection in a wavy-walled enclosures differentially heated and filled with a water based nanofluid is studied. The upper and bottom walls are wavy with several undulations. The sinusoidal distribution of temperature is imposed at the vertical walls. The flow, heat, and mass transfer are calculated by solving governing equations for embody the conservation of total mass, momentum, thermal energy, and nanoparticles, taking into account the Darcy-Boussinesq-Buongiorno approximation with second order finite difference method in "stream function-temperature-concentration" formulation. Results are presented in the form of streamlines, isotherm, and isoconcentration contours, and distributions of the average Nusselt number for the different values of the amplitude ratio of the sinusoidal temperature on the right side wall to that on the left side wall (γ = 0-1), phase deviation (φ = 0-π), and undulation number (κ = 1-4). It has been found that variations of the undulation number allow to control the heat and mass transfer rates. Moreover, an increase in the undulation number leads to an extension of the non-homogeneous zones.

Original languageEnglish
Pages (from-to)1183-1193
Number of pages11
JournalThermal Science
Volume21
Issue number3
DOIs
Publication statusPublished - 2017

Fingerprint

Enclosures
Natural convection
Boundary conditions
Mathematical models
Mass transfer
Heat transfer
Nusselt number
Thermal energy
Finite difference method
Temperature
Isotherms
Conservation
Momentum
Nanoparticles
Water

Keywords

  • Free convection
  • Nanofluids
  • Numerical method
  • Porous media
  • Sinusoidal temperature
  • Wavy-walled cavity

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment

Cite this

@article{5fb74f51908a45a39aad78e1ec18a432,
title = "Free convection in wavy porous enclosures with non-uniform temperature boundary conditions filled with A nanofluid: Buongiorno'S mathematical model",
abstract = "In the present work, the influence of the amplitude ratio, phase deviation, and undulation number on natural convection in a wavy-walled enclosures differentially heated and filled with a water based nanofluid is studied. The upper and bottom walls are wavy with several undulations. The sinusoidal distribution of temperature is imposed at the vertical walls. The flow, heat, and mass transfer are calculated by solving governing equations for embody the conservation of total mass, momentum, thermal energy, and nanoparticles, taking into account the Darcy-Boussinesq-Buongiorno approximation with second order finite difference method in {"}stream function-temperature-concentration{"} formulation. Results are presented in the form of streamlines, isotherm, and isoconcentration contours, and distributions of the average Nusselt number for the different values of the amplitude ratio of the sinusoidal temperature on the right side wall to that on the left side wall (γ = 0-1), phase deviation (φ = 0-π), and undulation number (κ = 1-4). It has been found that variations of the undulation number allow to control the heat and mass transfer rates. Moreover, an increase in the undulation number leads to an extension of the non-homogeneous zones.",
keywords = "Free convection, Nanofluids, Numerical method, Porous media, Sinusoidal temperature, Wavy-walled cavity",
author = "Sheremet, {Mikhail A.} and Ioan Pop",
year = "2017",
doi = "10.2298/TSCI140814089S",
language = "English",
volume = "21",
pages = "1183--1193",
journal = "Thermal Science",
issn = "0354-9836",
publisher = "Vinca Inst Nuclear Sci",
number = "3",

}

TY - JOUR

T1 - Free convection in wavy porous enclosures with non-uniform temperature boundary conditions filled with A nanofluid

T2 - Buongiorno'S mathematical model

AU - Sheremet, Mikhail A.

AU - Pop, Ioan

PY - 2017

Y1 - 2017

N2 - In the present work, the influence of the amplitude ratio, phase deviation, and undulation number on natural convection in a wavy-walled enclosures differentially heated and filled with a water based nanofluid is studied. The upper and bottom walls are wavy with several undulations. The sinusoidal distribution of temperature is imposed at the vertical walls. The flow, heat, and mass transfer are calculated by solving governing equations for embody the conservation of total mass, momentum, thermal energy, and nanoparticles, taking into account the Darcy-Boussinesq-Buongiorno approximation with second order finite difference method in "stream function-temperature-concentration" formulation. Results are presented in the form of streamlines, isotherm, and isoconcentration contours, and distributions of the average Nusselt number for the different values of the amplitude ratio of the sinusoidal temperature on the right side wall to that on the left side wall (γ = 0-1), phase deviation (φ = 0-π), and undulation number (κ = 1-4). It has been found that variations of the undulation number allow to control the heat and mass transfer rates. Moreover, an increase in the undulation number leads to an extension of the non-homogeneous zones.

AB - In the present work, the influence of the amplitude ratio, phase deviation, and undulation number on natural convection in a wavy-walled enclosures differentially heated and filled with a water based nanofluid is studied. The upper and bottom walls are wavy with several undulations. The sinusoidal distribution of temperature is imposed at the vertical walls. The flow, heat, and mass transfer are calculated by solving governing equations for embody the conservation of total mass, momentum, thermal energy, and nanoparticles, taking into account the Darcy-Boussinesq-Buongiorno approximation with second order finite difference method in "stream function-temperature-concentration" formulation. Results are presented in the form of streamlines, isotherm, and isoconcentration contours, and distributions of the average Nusselt number for the different values of the amplitude ratio of the sinusoidal temperature on the right side wall to that on the left side wall (γ = 0-1), phase deviation (φ = 0-π), and undulation number (κ = 1-4). It has been found that variations of the undulation number allow to control the heat and mass transfer rates. Moreover, an increase in the undulation number leads to an extension of the non-homogeneous zones.

KW - Free convection

KW - Nanofluids

KW - Numerical method

KW - Porous media

KW - Sinusoidal temperature

KW - Wavy-walled cavity

UR - http://www.scopus.com/inward/record.url?scp=85025428759&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85025428759&partnerID=8YFLogxK

U2 - 10.2298/TSCI140814089S

DO - 10.2298/TSCI140814089S

M3 - Article

AN - SCOPUS:85025428759

VL - 21

SP - 1183

EP - 1193

JO - Thermal Science

JF - Thermal Science

SN - 0354-9836

IS - 3

ER -