Numerical solutions of three-dimensional boundary layer flow and heat transfer past a permeable shrinking surface in a Cu-water nanofluid

Mohd Amin Mohd Noor, Roslinda Mohd. Nazar, Khamisah Jafar, Ioan Pop

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This article presents a numerical investigation on the three-dimensional boundary layer flow and heat transfer of a copper, Cu-water nanofluid in the vicinity of a permeable shrinking flat surface in an otherwise quiescent fluid. It is assumed that the nanofluid is incompressible and the flow is laminar. The nanofluid mathematical model proposed by Tiwari and Das is used in which the effect of the nanoparticle volume fraction is considered. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which is then solved numerically using the shooting method. The numerical results for the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles are obtained, presented and discussed for a range of various values of the governing parameters.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages192-198
Number of pages7
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur, Malaysia
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CountryMalaysia
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

three dimensional boundary layer
skin friction
boundary layer flow
incompressible flow
Nusselt number
laminar flow
partial differential equations
temperature profiles
coefficient of friction
flat surfaces
mathematical models
differential equations
velocity distribution
heat transfer
copper
nanoparticles
fluids
water

Keywords

  • Heat transfer
  • Nanofluid
  • Numerical solution
  • Shrinking surface
  • Three-dimensional boundary layer

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Numerical solutions of three-dimensional boundary layer flow and heat transfer past a permeable shrinking surface in a Cu-water nanofluid. / Noor, Mohd Amin Mohd; Mohd. Nazar, Roslinda; Jafar, Khamisah; Pop, Ioan.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 192-198.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Noor, MAM, Mohd. Nazar, R, Jafar, K & Pop, I 2014, Numerical solutions of three-dimensional boundary layer flow and heat transfer past a permeable shrinking surface in a Cu-water nanofluid. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 192-198, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, Malaysia, 17/12/13. https://doi.org/10.1063/1.4882487
Noor, Mohd Amin Mohd ; Mohd. Nazar, Roslinda ; Jafar, Khamisah ; Pop, Ioan. / Numerical solutions of three-dimensional boundary layer flow and heat transfer past a permeable shrinking surface in a Cu-water nanofluid. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 192-198
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AU - Pop, Ioan

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N2 - This article presents a numerical investigation on the three-dimensional boundary layer flow and heat transfer of a copper, Cu-water nanofluid in the vicinity of a permeable shrinking flat surface in an otherwise quiescent fluid. It is assumed that the nanofluid is incompressible and the flow is laminar. The nanofluid mathematical model proposed by Tiwari and Das is used in which the effect of the nanoparticle volume fraction is considered. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which is then solved numerically using the shooting method. The numerical results for the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles are obtained, presented and discussed for a range of various values of the governing parameters.

AB - This article presents a numerical investigation on the three-dimensional boundary layer flow and heat transfer of a copper, Cu-water nanofluid in the vicinity of a permeable shrinking flat surface in an otherwise quiescent fluid. It is assumed that the nanofluid is incompressible and the flow is laminar. The nanofluid mathematical model proposed by Tiwari and Das is used in which the effect of the nanoparticle volume fraction is considered. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which is then solved numerically using the shooting method. The numerical results for the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles are obtained, presented and discussed for a range of various values of the governing parameters.

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