The effects of transpiration on the boundary layer flow and heat transfer over a vertical slender cylinder

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

This paper deals with a theoretical (numerical) analysis of the effects that blowing/injection and suction have on the steady mixed convection or combined forced and free convection boundary layer flows over a vertical slender cylinder with a mainstream velocity and a wall surface temperature proportional to the axial distance along the surface of the cylinder. Both cases of buoyancy forces aid and oppose the development of the boundary layer are considered. Similarity equations are derived and their solutions are dependent upon the mixed convection parameter, the non-dimensional transpiration parameter and the curvature parameter, as well as of the Prandtl number. Dual solutions for the previously studied mixed convection boundary layer flows over an impermeable surface of the cylinder are shown to exist also in the present problem for aiding and opposing flow situations.

Original languageEnglish
Pages (from-to)1010-1017
Number of pages8
JournalInternational Journal of Non-Linear Mechanics
Volume42
Issue number8
DOIs
Publication statusPublished - Oct 2007

Fingerprint

transpiration
Transpiration
Mixed Convection
Mixed convection
boundary layer flow
Boundary layer flow
Boundary Layer Flow
Engine cylinders
Heat Transfer
convection
heat transfer
Vertical
Heat transfer
Dual Solutions
Forced Convection
Free Convection
blowing
forced convection
wall temperature
Prandtl number

Keywords

  • Boundary layer
  • Combined forced and free convection flows
  • Numerical similarity solutions
  • Suction/injection
  • Vertical slender cylinder

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

@article{07e37485e2704023b56737ba65eca6b5,
title = "The effects of transpiration on the boundary layer flow and heat transfer over a vertical slender cylinder",
abstract = "This paper deals with a theoretical (numerical) analysis of the effects that blowing/injection and suction have on the steady mixed convection or combined forced and free convection boundary layer flows over a vertical slender cylinder with a mainstream velocity and a wall surface temperature proportional to the axial distance along the surface of the cylinder. Both cases of buoyancy forces aid and oppose the development of the boundary layer are considered. Similarity equations are derived and their solutions are dependent upon the mixed convection parameter, the non-dimensional transpiration parameter and the curvature parameter, as well as of the Prandtl number. Dual solutions for the previously studied mixed convection boundary layer flows over an impermeable surface of the cylinder are shown to exist also in the present problem for aiding and opposing flow situations.",
keywords = "Boundary layer, Combined forced and free convection flows, Numerical similarity solutions, Suction/injection, Vertical slender cylinder",
author = "{Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda and Ioan Pop",
year = "2007",
month = "10",
doi = "10.1016/j.ijnonlinmec.2007.05.004",
language = "English",
volume = "42",
pages = "1010--1017",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier Limited",
number = "8",

}

TY - JOUR

T1 - The effects of transpiration on the boundary layer flow and heat transfer over a vertical slender cylinder

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2007/10

Y1 - 2007/10

N2 - This paper deals with a theoretical (numerical) analysis of the effects that blowing/injection and suction have on the steady mixed convection or combined forced and free convection boundary layer flows over a vertical slender cylinder with a mainstream velocity and a wall surface temperature proportional to the axial distance along the surface of the cylinder. Both cases of buoyancy forces aid and oppose the development of the boundary layer are considered. Similarity equations are derived and their solutions are dependent upon the mixed convection parameter, the non-dimensional transpiration parameter and the curvature parameter, as well as of the Prandtl number. Dual solutions for the previously studied mixed convection boundary layer flows over an impermeable surface of the cylinder are shown to exist also in the present problem for aiding and opposing flow situations.

AB - This paper deals with a theoretical (numerical) analysis of the effects that blowing/injection and suction have on the steady mixed convection or combined forced and free convection boundary layer flows over a vertical slender cylinder with a mainstream velocity and a wall surface temperature proportional to the axial distance along the surface of the cylinder. Both cases of buoyancy forces aid and oppose the development of the boundary layer are considered. Similarity equations are derived and their solutions are dependent upon the mixed convection parameter, the non-dimensional transpiration parameter and the curvature parameter, as well as of the Prandtl number. Dual solutions for the previously studied mixed convection boundary layer flows over an impermeable surface of the cylinder are shown to exist also in the present problem for aiding and opposing flow situations.

KW - Boundary layer

KW - Combined forced and free convection flows

KW - Numerical similarity solutions

KW - Suction/injection

KW - Vertical slender cylinder

UR - http://www.scopus.com/inward/record.url?scp=35148878822&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35148878822&partnerID=8YFLogxK

U2 - 10.1016/j.ijnonlinmec.2007.05.004

DO - 10.1016/j.ijnonlinmec.2007.05.004

M3 - Article

AN - SCOPUS:35148878822

VL - 42

SP - 1010

EP - 1017

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

IS - 8

ER -