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

Chunyan Liu; Liancun Zheng; Ping Lin; Mingyang Pan; Fawang Liu

doi:10.1515/zna-2017-0372

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

Mathematics

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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 β_c (β_c≈0.7) where the Sherwood number achieves its maximum at the critical value β_c. For β>β_c, the distribution of nanoparticle volume fraction decreases near the surface but exhibits an opposite trend far from the surface.

Original language	English
Pages (from-to)	229-237
Number of pages	9
Journal	Zeitschrift fur Naturforschung A: a Journal of Physical Sciences
Volume	73
Issue number	3
Early online date	25 Jan 2018
DOIs	https://doi.org/10.1515/zna-2017-0372
Publication status	Published - Mar 2018

Keywords

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

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Physical and Theoretical Chemistry

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Cite this

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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.",

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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

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

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

IS - 3

ER -

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

Abstract

Keywords

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