Three-dimensional axisymmetric stagnation-point flow and heat transfer in a nanofluid with anisotropic slip over a striated surface in the presence of various thermal conditions and nanoparticle volume fractions

Latifa M. Al-Balushi, M. M. Rahman, I. Pop

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3 Citations (Scopus)

Abstract

In this paper three-dimensional axisymmetric stagnation-point boundary layer flow of nanofluids over a striated surface with anisotropic slip is analyzed considering various thermal boundary conditions and nanoparticle volume fractions. The mathematical nanofluid model of Buongiorno has been used. Using appropriate similarity transformations, the basic partial differential equations are transformed into ordinary differential equations. These equations have been solved numerically for different values of the model parameters such as slip parameters (0.1⩽γ1⩽10, 0.1⩽γ2⩽5), Brownian diffusion parameter (0.1⩽Nb⩽0.5), thermophoresis parameter (0.1⩽Nt⩽0.5), surface convection parameter (5⩽A⩽500), Prandtl number (Pr=6.8), Lewis number (Le=10), and stretching/shrinking parameter (λ=-1,0,1) using the bvp4c function from Matlab. The effects of these parameters on the shear stress, rate of heat transfer from the surface of the striated sheet to the fluid, Sherwood number, dimensionless velocity, temperature, and nanoparticles volume fraction distributions are presented in tables and graphs, and are in details discussed. Asymptotic analysis for the behavior of the solutions for large slip is conducted. The stability analysis of the problem guaranteed that the obtained solutions for different values of the anisotropic slip parameters are stable, hence physically realizable. The results show that the anisotropic slip (γi) on the striated surface significantly controls the shear stress, heat and mass transfers of a nanofluid. The results further show that better heat transfer rate in a realistic nanofluid can be achieved when a temperature gradient is created on the surface and the normal flux of the nanoparticles due to thermophoresis on it is zero.

Original languageEnglish
Pages (from-to)26-42
Number of pages17
JournalThermal Science and Engineering Progress
Volume2
DOIs
Publication statusPublished - Jun 1 2017

Fingerprint

Volume fraction
Thermophoresis
Nanoparticles
Heat transfer
Shear stress
Asymptotic analysis
Control surfaces
Boundary layer flow
Prandtl number
Ordinary differential equations
Thermal gradients
Partial differential equations
Stretching
Mass transfer
Boundary conditions
Mathematical models
Fluxes
Fluids
Hot Temperature
Temperature

Keywords

  • Brownian diffusion
  • Convection
  • Nanofluid
  • Stagnation-point flow
  • Striated surface
  • Thermophoresis

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

Cite this

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title = "Three-dimensional axisymmetric stagnation-point flow and heat transfer in a nanofluid with anisotropic slip over a striated surface in the presence of various thermal conditions and nanoparticle volume fractions",
abstract = "In this paper three-dimensional axisymmetric stagnation-point boundary layer flow of nanofluids over a striated surface with anisotropic slip is analyzed considering various thermal boundary conditions and nanoparticle volume fractions. The mathematical nanofluid model of Buongiorno has been used. Using appropriate similarity transformations, the basic partial differential equations are transformed into ordinary differential equations. These equations have been solved numerically for different values of the model parameters such as slip parameters (0.1⩽γ1⩽10, 0.1⩽γ2⩽5), Brownian diffusion parameter (0.1⩽Nb⩽0.5), thermophoresis parameter (0.1⩽Nt⩽0.5), surface convection parameter (5⩽A⩽500), Prandtl number (Pr=6.8), Lewis number (Le=10), and stretching/shrinking parameter (λ=-1,0,1) using the bvp4c function from Matlab. The effects of these parameters on the shear stress, rate of heat transfer from the surface of the striated sheet to the fluid, Sherwood number, dimensionless velocity, temperature, and nanoparticles volume fraction distributions are presented in tables and graphs, and are in details discussed. Asymptotic analysis for the behavior of the solutions for large slip is conducted. The stability analysis of the problem guaranteed that the obtained solutions for different values of the anisotropic slip parameters are stable, hence physically realizable. The results show that the anisotropic slip (γi) on the striated surface significantly controls the shear stress, heat and mass transfers of a nanofluid. The results further show that better heat transfer rate in a realistic nanofluid can be achieved when a temperature gradient is created on the surface and the normal flux of the nanoparticles due to thermophoresis on it is zero.",
keywords = "Brownian diffusion, Convection, Nanofluid, Stagnation-point flow, Striated surface, Thermophoresis",
author = "Al-Balushi, {Latifa M.} and Rahman, {M. M.} and I. Pop",
year = "2017",
month = "6",
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doi = "10.1016/j.tsep.2017.04.001",
language = "English",
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TY - JOUR

T1 - Three-dimensional axisymmetric stagnation-point flow and heat transfer in a nanofluid with anisotropic slip over a striated surface in the presence of various thermal conditions and nanoparticle volume fractions

AU - Al-Balushi, Latifa M.

AU - Rahman, M. M.

AU - Pop, I.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - In this paper three-dimensional axisymmetric stagnation-point boundary layer flow of nanofluids over a striated surface with anisotropic slip is analyzed considering various thermal boundary conditions and nanoparticle volume fractions. The mathematical nanofluid model of Buongiorno has been used. Using appropriate similarity transformations, the basic partial differential equations are transformed into ordinary differential equations. These equations have been solved numerically for different values of the model parameters such as slip parameters (0.1⩽γ1⩽10, 0.1⩽γ2⩽5), Brownian diffusion parameter (0.1⩽Nb⩽0.5), thermophoresis parameter (0.1⩽Nt⩽0.5), surface convection parameter (5⩽A⩽500), Prandtl number (Pr=6.8), Lewis number (Le=10), and stretching/shrinking parameter (λ=-1,0,1) using the bvp4c function from Matlab. The effects of these parameters on the shear stress, rate of heat transfer from the surface of the striated sheet to the fluid, Sherwood number, dimensionless velocity, temperature, and nanoparticles volume fraction distributions are presented in tables and graphs, and are in details discussed. Asymptotic analysis for the behavior of the solutions for large slip is conducted. The stability analysis of the problem guaranteed that the obtained solutions for different values of the anisotropic slip parameters are stable, hence physically realizable. The results show that the anisotropic slip (γi) on the striated surface significantly controls the shear stress, heat and mass transfers of a nanofluid. The results further show that better heat transfer rate in a realistic nanofluid can be achieved when a temperature gradient is created on the surface and the normal flux of the nanoparticles due to thermophoresis on it is zero.

AB - In this paper three-dimensional axisymmetric stagnation-point boundary layer flow of nanofluids over a striated surface with anisotropic slip is analyzed considering various thermal boundary conditions and nanoparticle volume fractions. The mathematical nanofluid model of Buongiorno has been used. Using appropriate similarity transformations, the basic partial differential equations are transformed into ordinary differential equations. These equations have been solved numerically for different values of the model parameters such as slip parameters (0.1⩽γ1⩽10, 0.1⩽γ2⩽5), Brownian diffusion parameter (0.1⩽Nb⩽0.5), thermophoresis parameter (0.1⩽Nt⩽0.5), surface convection parameter (5⩽A⩽500), Prandtl number (Pr=6.8), Lewis number (Le=10), and stretching/shrinking parameter (λ=-1,0,1) using the bvp4c function from Matlab. The effects of these parameters on the shear stress, rate of heat transfer from the surface of the striated sheet to the fluid, Sherwood number, dimensionless velocity, temperature, and nanoparticles volume fraction distributions are presented in tables and graphs, and are in details discussed. Asymptotic analysis for the behavior of the solutions for large slip is conducted. The stability analysis of the problem guaranteed that the obtained solutions for different values of the anisotropic slip parameters are stable, hence physically realizable. The results show that the anisotropic slip (γi) on the striated surface significantly controls the shear stress, heat and mass transfers of a nanofluid. The results further show that better heat transfer rate in a realistic nanofluid can be achieved when a temperature gradient is created on the surface and the normal flux of the nanoparticles due to thermophoresis on it is zero.

KW - Brownian diffusion

KW - Convection

KW - Nanofluid

KW - Stagnation-point flow

KW - Striated surface

KW - Thermophoresis

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U2 - 10.1016/j.tsep.2017.04.001

DO - 10.1016/j.tsep.2017.04.001

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EP - 42

JO - Thermal Science and Engineering Progress

JF - Thermal Science and Engineering Progress

SN - 2451-9049

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