Effects of temperature dependent fluid properties and variable Prandtl number on the transient convective flow due to a porous rotating disk

M. S. Alam, S. M Chapal Hossain, M. M. Rahman

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper we have studied the effects of temperature dependent fluid properties such as density, viscosity and thermal conductivity and variable Prandtl number on unsteady convective heat transfer flow over a porous rotating disk. Using similarity transformations we reduce the governing nonlinear partial differential equations for flow and heat transfer into a system of ordinary differential equations which are then solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth-order Runge-Kutta integration scheme. Comparison with previously published work for steady case of the problem were performed and found to be in very good agreement. The obtained numerical results show that the rate of heat transfer in a fluid of constant properties is higher than in a fluid of variable properties. The results further show that consideration of Prandtl number as constant within the boundary layer for variable fluid properties lead unrealistic results. Therefore, modeling thermal boundary layers with temperature dependent fluid properties Prandtl number must treated as variable inside the boundary layer.

Original languageEnglish
Pages (from-to)2439-2451
Number of pages13
JournalMeccanica
Volume49
Issue number10
DOIs
Publication statusPublished - 2014

Fingerprint

convective flow
Prandtl number
rotating disks
Rotating disks
Fluids
fluids
Boundary layers
Heat transfer
boundary layers
Temperature
heat transfer
temperature
conductivity
thermal boundary layer
convective heat transfer
Ordinary differential equations
partial differential equations
Partial differential equations
iteration
Thermal conductivity

Keywords

  • Heat transfer
  • Rotating disk
  • Unsteady flow
  • Variable fluid properties
  • Variable Prandtl number

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Effects of temperature dependent fluid properties and variable Prandtl number on the transient convective flow due to a porous rotating disk. / Alam, M. S.; Hossain, S. M Chapal; Rahman, M. M.

In: Meccanica, Vol. 49, No. 10, 2014, p. 2439-2451.

Research output: Contribution to journalArticle

@article{a957190f9403405ca08dce26b3844958,
title = "Effects of temperature dependent fluid properties and variable Prandtl number on the transient convective flow due to a porous rotating disk",
abstract = "In this paper we have studied the effects of temperature dependent fluid properties such as density, viscosity and thermal conductivity and variable Prandtl number on unsteady convective heat transfer flow over a porous rotating disk. Using similarity transformations we reduce the governing nonlinear partial differential equations for flow and heat transfer into a system of ordinary differential equations which are then solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth-order Runge-Kutta integration scheme. Comparison with previously published work for steady case of the problem were performed and found to be in very good agreement. The obtained numerical results show that the rate of heat transfer in a fluid of constant properties is higher than in a fluid of variable properties. The results further show that consideration of Prandtl number as constant within the boundary layer for variable fluid properties lead unrealistic results. Therefore, modeling thermal boundary layers with temperature dependent fluid properties Prandtl number must treated as variable inside the boundary layer.",
keywords = "Heat transfer, Rotating disk, Unsteady flow, Variable fluid properties, Variable Prandtl number",
author = "Alam, {M. S.} and Hossain, {S. M Chapal} and Rahman, {M. M.}",
year = "2014",
doi = "10.1007/s11012-014-9995-9",
language = "English",
volume = "49",
pages = "2439--2451",
journal = "Meccanica",
issn = "0025-6455",
publisher = "Springer Netherlands",
number = "10",

}

TY - JOUR

T1 - Effects of temperature dependent fluid properties and variable Prandtl number on the transient convective flow due to a porous rotating disk

AU - Alam, M. S.

AU - Hossain, S. M Chapal

AU - Rahman, M. M.

PY - 2014

Y1 - 2014

N2 - In this paper we have studied the effects of temperature dependent fluid properties such as density, viscosity and thermal conductivity and variable Prandtl number on unsteady convective heat transfer flow over a porous rotating disk. Using similarity transformations we reduce the governing nonlinear partial differential equations for flow and heat transfer into a system of ordinary differential equations which are then solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth-order Runge-Kutta integration scheme. Comparison with previously published work for steady case of the problem were performed and found to be in very good agreement. The obtained numerical results show that the rate of heat transfer in a fluid of constant properties is higher than in a fluid of variable properties. The results further show that consideration of Prandtl number as constant within the boundary layer for variable fluid properties lead unrealistic results. Therefore, modeling thermal boundary layers with temperature dependent fluid properties Prandtl number must treated as variable inside the boundary layer.

AB - In this paper we have studied the effects of temperature dependent fluid properties such as density, viscosity and thermal conductivity and variable Prandtl number on unsteady convective heat transfer flow over a porous rotating disk. Using similarity transformations we reduce the governing nonlinear partial differential equations for flow and heat transfer into a system of ordinary differential equations which are then solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth-order Runge-Kutta integration scheme. Comparison with previously published work for steady case of the problem were performed and found to be in very good agreement. The obtained numerical results show that the rate of heat transfer in a fluid of constant properties is higher than in a fluid of variable properties. The results further show that consideration of Prandtl number as constant within the boundary layer for variable fluid properties lead unrealistic results. Therefore, modeling thermal boundary layers with temperature dependent fluid properties Prandtl number must treated as variable inside the boundary layer.

KW - Heat transfer

KW - Rotating disk

KW - Unsteady flow

KW - Variable fluid properties

KW - Variable Prandtl number

UR - http://www.scopus.com/inward/record.url?scp=84906313005&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84906313005&partnerID=8YFLogxK

U2 - 10.1007/s11012-014-9995-9

DO - 10.1007/s11012-014-9995-9

M3 - Article

VL - 49

SP - 2439

EP - 2451

JO - Meccanica

JF - Meccanica

SN - 0025-6455

IS - 10

ER -