Numerical Investigation of a Two-Phase Nanofluid Model for Boundary Layer Flow Past a Variable Thickness Sheet

Chunyan Liu, Liancun Zheng (Lead / Corresponding author), Ping Lin, Mingyang Pan, Fawang Liu

Research output: Contribution to journalArticle

52 Downloads (Pure)

Abstract

This paper investigates heat and mass transfer of nanofluid over a stretching sheet with variable thickness. The techniques of similarity transformation and homotopy analysis method are used to find solutions. Velocity, temperature, and concentration fields are examined with the variations of governing parameters. Local Nusselt number and Sherwood number are compared for different values of variable thickness parameter. The results show that there exists a critical value of thickness parameter βcc≈0.7) where the Sherwood number achieves its maximum at the critical value βc. For β>βc, the distribution of nanoparticle volume fraction decreases near the surface but exhibits an opposite trend far from the surface.

Original languageEnglish
Pages (from-to)229-237
Number of pages9
JournalZeitschrift fur Naturforschung A: a Journal of Physical Sciences
Volume73
Issue number3
Early online date25 Jan 2018
DOIs
Publication statusPublished - Mar 2018

Fingerprint

Variable Thickness
Nanofluid
boundary layer flow
Boundary layer flow
Boundary Layer Flow
Numerical Investigation
Critical value
Nusselt number
Stretching
Stretching Sheet
Volume fraction
Mass transfer
Homotopy Analysis Method
Similarity Transformation
Heat and Mass Transfer
Nanoparticles
Heat transfer
Volume Fraction
mass transfer
temperature distribution

Keywords

  • Homotopy Analysis Method
  • Nanofluid
  • Two-Phase Mixture Model
  • Variable Thickness Surface

Cite this

@article{9fcd6a283621494d8a1c584ef6e187a3,
title = "Numerical Investigation of a Two-Phase Nanofluid Model for Boundary Layer Flow Past a Variable Thickness Sheet",
abstract = "This paper investigates heat and mass transfer of nanofluid over a stretching sheet with variable thickness. The techniques of similarity transformation and homotopy analysis method are used to find solutions. Velocity, temperature, and concentration fields are examined with the variations of governing parameters. Local Nusselt number and Sherwood number are compared for different values of variable thickness parameter. The results show that there exists a critical value of thickness parameter βc (βc≈0.7) where the Sherwood number achieves its maximum at the critical value βc. For β>βc, the distribution of nanoparticle volume fraction decreases near the surface but exhibits an opposite trend far from the surface.",
keywords = "Homotopy Analysis Method, Nanofluid, Two-Phase Mixture Model, Variable Thickness Surface",
author = "Chunyan Liu and Liancun Zheng and Ping Lin and Mingyang Pan and Fawang Liu",
year = "2018",
month = "3",
doi = "10.1515/zna-2017-0372",
language = "English",
volume = "73",
pages = "229--237",
journal = "Zeitschrift fur Naturforschung A: a Journal of Physical Sciences",
issn = "0932-0784",
publisher = "Walter de Gruyter GmbH",
number = "3",

}

Numerical Investigation of a Two-Phase Nanofluid Model for Boundary Layer Flow Past a Variable Thickness Sheet. / Liu, Chunyan; Zheng, Liancun (Lead / Corresponding author); Lin, Ping; Pan, Mingyang; Liu, Fawang.

In: Zeitschrift fur Naturforschung A: a Journal of Physical Sciences, Vol. 73, No. 3, 03.2018, p. 229-237.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Numerical Investigation of a Two-Phase Nanofluid Model for Boundary Layer Flow Past a Variable Thickness Sheet

AU - Liu, Chunyan

AU - Zheng, Liancun

AU - Lin, Ping

AU - Pan, Mingyang

AU - Liu, Fawang

PY - 2018/3

Y1 - 2018/3

N2 - This paper investigates heat and mass transfer of nanofluid over a stretching sheet with variable thickness. The techniques of similarity transformation and homotopy analysis method are used to find solutions. Velocity, temperature, and concentration fields are examined with the variations of governing parameters. Local Nusselt number and Sherwood number are compared for different values of variable thickness parameter. The results show that there exists a critical value of thickness parameter βc (βc≈0.7) where the Sherwood number achieves its maximum at the critical value βc. For β>βc, the distribution of nanoparticle volume fraction decreases near the surface but exhibits an opposite trend far from the surface.

AB - This paper investigates heat and mass transfer of nanofluid over a stretching sheet with variable thickness. The techniques of similarity transformation and homotopy analysis method are used to find solutions. Velocity, temperature, and concentration fields are examined with the variations of governing parameters. Local Nusselt number and Sherwood number are compared for different values of variable thickness parameter. The results show that there exists a critical value of thickness parameter βc (βc≈0.7) where the Sherwood number achieves its maximum at the critical value βc. For β>βc, the distribution of nanoparticle volume fraction decreases near the surface but exhibits an opposite trend far from the surface.

KW - Homotopy Analysis Method

KW - Nanofluid

KW - Two-Phase Mixture Model

KW - Variable Thickness Surface

U2 - 10.1515/zna-2017-0372

DO - 10.1515/zna-2017-0372

M3 - Article

AN - SCOPUS:85041587121

VL - 73

SP - 229

EP - 237

JO - Zeitschrift fur Naturforschung A: a Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung A: a Journal of Physical Sciences

SN - 0932-0784

IS - 3

ER -