The effects of transpiration on the flow and heat transfer over a moving permeable surface in a parallel stream

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

The steady boundary layer flow over a moving permeable sheet in a viscous and incompressible fluid is considered. In addition to the mass transfer from the plate (suction or injection), the viscous dissipation term is also included into the energy equation. The sheet is assumed to move in the same or opposite direction to the free stream. The governing partial differential equations are first transformed into ordinary differential equations before they are solved numerically by a finite-difference scheme. The numerical results are compared with known results from the open literature for some particular cases of the present study, to support their validity. The effects of the governing parameters on the flow and thermal fields are examined. The numerical results indicate that dual solutions exist when the sheet and the free stream move in the opposite directions. Moreover, compared to injection, suction increases the skin friction coefficient and the heat transfer rates at the surface, besides delays the boundary layer separation.

Original languageEnglish
Pages (from-to)63-67
Number of pages5
JournalChemical Engineering Journal
Volume148
Issue number1
DOIs
Publication statusPublished - 1 May 2009

Fingerprint

Transpiration
Skin friction
Boundary layer flow
Ordinary differential equations
transpiration
Partial differential equations
heat transfer
Boundary layers
Mass transfer
Heat transfer
suction
Fluids
boundary layer
mass transfer
dissipation
skin
friction
fluid
energy
Hot Temperature

Keywords

  • Boundary layer
  • Dual solutions
  • Heat transfer
  • Parallel moving surface
  • Permeable surface

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Chemistry(all)
  • Industrial and Manufacturing Engineering
  • Environmental Chemistry

Cite this

@article{90cd50c134f84650817991cca7b510b9,
title = "The effects of transpiration on the flow and heat transfer over a moving permeable surface in a parallel stream",
abstract = "The steady boundary layer flow over a moving permeable sheet in a viscous and incompressible fluid is considered. In addition to the mass transfer from the plate (suction or injection), the viscous dissipation term is also included into the energy equation. The sheet is assumed to move in the same or opposite direction to the free stream. The governing partial differential equations are first transformed into ordinary differential equations before they are solved numerically by a finite-difference scheme. The numerical results are compared with known results from the open literature for some particular cases of the present study, to support their validity. The effects of the governing parameters on the flow and thermal fields are examined. The numerical results indicate that dual solutions exist when the sheet and the free stream move in the opposite directions. Moreover, compared to injection, suction increases the skin friction coefficient and the heat transfer rates at the surface, besides delays the boundary layer separation.",
keywords = "Boundary layer, Dual solutions, Heat transfer, Parallel moving surface, Permeable surface",
author = "{Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda and Ioan Pop",
year = "2009",
month = "5",
day = "1",
doi = "10.1016/j.cej.2008.07.040",
language = "English",
volume = "148",
pages = "63--67",
journal = "Chemical Engineering Journal",
issn = "1385-8947",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - The effects of transpiration on the flow and heat transfer over a moving permeable surface in a parallel stream

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2009/5/1

Y1 - 2009/5/1

N2 - The steady boundary layer flow over a moving permeable sheet in a viscous and incompressible fluid is considered. In addition to the mass transfer from the plate (suction or injection), the viscous dissipation term is also included into the energy equation. The sheet is assumed to move in the same or opposite direction to the free stream. The governing partial differential equations are first transformed into ordinary differential equations before they are solved numerically by a finite-difference scheme. The numerical results are compared with known results from the open literature for some particular cases of the present study, to support their validity. The effects of the governing parameters on the flow and thermal fields are examined. The numerical results indicate that dual solutions exist when the sheet and the free stream move in the opposite directions. Moreover, compared to injection, suction increases the skin friction coefficient and the heat transfer rates at the surface, besides delays the boundary layer separation.

AB - The steady boundary layer flow over a moving permeable sheet in a viscous and incompressible fluid is considered. In addition to the mass transfer from the plate (suction or injection), the viscous dissipation term is also included into the energy equation. The sheet is assumed to move in the same or opposite direction to the free stream. The governing partial differential equations are first transformed into ordinary differential equations before they are solved numerically by a finite-difference scheme. The numerical results are compared with known results from the open literature for some particular cases of the present study, to support their validity. The effects of the governing parameters on the flow and thermal fields are examined. The numerical results indicate that dual solutions exist when the sheet and the free stream move in the opposite directions. Moreover, compared to injection, suction increases the skin friction coefficient and the heat transfer rates at the surface, besides delays the boundary layer separation.

KW - Boundary layer

KW - Dual solutions

KW - Heat transfer

KW - Parallel moving surface

KW - Permeable surface

UR - http://www.scopus.com/inward/record.url?scp=61449130639&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=61449130639&partnerID=8YFLogxK

U2 - 10.1016/j.cej.2008.07.040

DO - 10.1016/j.cej.2008.07.040

M3 - Article

AN - SCOPUS:61449130639

VL - 148

SP - 63

EP - 67

JO - Chemical Engineering Journal

JF - Chemical Engineering Journal

SN - 1385-8947

IS - 1

ER -