Mixed convection in viscoelastic flowdue to a stretching sheet in a porous medium

Antonio Mastroberardino, Ulavathi S. Mahabaleswar

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We present an analysis of mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface embedded in a porous medium. The momentum equation includes the effect of the buoyancy force due to free convection. The thermal equation includes the effects of thermal radiation and viscous dissipation. We consider two general types of nonisothermal boundary conditions, namely, prescribed surface temperature and prescribed heat flux. The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method (HAM). Convergence of the HAM solutions is discussed in detail. The effects of various parameters on the skin friction coefficient and wall heat transfer are presented along with plots of the velocity and temperature profiles.

Original languageEnglish (US)
Pages (from-to)483-500
Number of pages18
JournalJournal of Porous Media
Volume16
Issue number6
DOIs
StatePublished - Jul 15 2013

Fingerprint

Stretching Sheet
Mixed Convection
Mixed convection
Stretching
Porous Media
Porous materials
convection
Homotopy Analysis Method
Stretching Surface
Viscous Dissipation
Thermal Radiation
Free Convection
skin friction
boundary layer flow
Skin Friction
Viscoelastic Fluid
Skin friction
Boundary layer flow
Boundary Layer Flow
Temperature Profile

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Biomedical Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Mastroberardino, Antonio ; Mahabaleswar, Ulavathi S. / Mixed convection in viscoelastic flowdue to a stretching sheet in a porous medium. In: Journal of Porous Media. 2013 ; Vol. 16, No. 6. pp. 483-500.
@article{c967f453c8fc42108152dff8fe1ee21c,
title = "Mixed convection in viscoelastic flowdue to a stretching sheet in a porous medium",
abstract = "We present an analysis of mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface embedded in a porous medium. The momentum equation includes the effect of the buoyancy force due to free convection. The thermal equation includes the effects of thermal radiation and viscous dissipation. We consider two general types of nonisothermal boundary conditions, namely, prescribed surface temperature and prescribed heat flux. The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method (HAM). Convergence of the HAM solutions is discussed in detail. The effects of various parameters on the skin friction coefficient and wall heat transfer are presented along with plots of the velocity and temperature profiles.",
author = "Antonio Mastroberardino and Mahabaleswar, {Ulavathi S.}",
year = "2013",
month = "7",
day = "15",
doi = "10.1615/JPorMedia.v16.i6.10",
language = "English (US)",
volume = "16",
pages = "483--500",
journal = "Journal of Porous Media",
issn = "1091-028X",
publisher = "Begell House Inc.",
number = "6",

}

Mixed convection in viscoelastic flowdue to a stretching sheet in a porous medium. / Mastroberardino, Antonio; Mahabaleswar, Ulavathi S.

In: Journal of Porous Media, Vol. 16, No. 6, 15.07.2013, p. 483-500.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Mixed convection in viscoelastic flowdue to a stretching sheet in a porous medium

AU - Mastroberardino, Antonio

AU - Mahabaleswar, Ulavathi S.

PY - 2013/7/15

Y1 - 2013/7/15

N2 - We present an analysis of mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface embedded in a porous medium. The momentum equation includes the effect of the buoyancy force due to free convection. The thermal equation includes the effects of thermal radiation and viscous dissipation. We consider two general types of nonisothermal boundary conditions, namely, prescribed surface temperature and prescribed heat flux. The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method (HAM). Convergence of the HAM solutions is discussed in detail. The effects of various parameters on the skin friction coefficient and wall heat transfer are presented along with plots of the velocity and temperature profiles.

AB - We present an analysis of mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface embedded in a porous medium. The momentum equation includes the effect of the buoyancy force due to free convection. The thermal equation includes the effects of thermal radiation and viscous dissipation. We consider two general types of nonisothermal boundary conditions, namely, prescribed surface temperature and prescribed heat flux. The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method (HAM). Convergence of the HAM solutions is discussed in detail. The effects of various parameters on the skin friction coefficient and wall heat transfer are presented along with plots of the velocity and temperature profiles.

UR - http://www.scopus.com/inward/record.url?scp=84879932105&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879932105&partnerID=8YFLogxK

U2 - 10.1615/JPorMedia.v16.i6.10

DO - 10.1615/JPorMedia.v16.i6.10

M3 - Article

AN - SCOPUS:84879932105

VL - 16

SP - 483

EP - 500

JO - Journal of Porous Media

JF - Journal of Porous Media

SN - 1091-028X

IS - 6

ER -