A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip

Najiyah Safwa Khashi'ie, Norihan Md Arifin, Roslinda Mohd. Nazar, Ezad Hafidz Hafidzuddin, Nadihah Wahi, Ioan Pop

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The numerical study of nanofluid stagnation point flow coupled with heat and mass transfer on a moving sheet with bi-directional slip velocities is emphasized. A magnetic field is considered normal to the moving sheet. Buongiorno’s model is utilized to assimilate the mixed effects of thermophoresis and Brownian motion due to the nanoparticles. Zero nanoparticles’ flux condition at the surface is employed, which indicates that the nanoparticles’ fraction are passively controlled. This condition makes the model more practical for certain engineering applications. The continuity, momentum, energy and concentration equations are transformed into a set of nonlinear ordinary (similarity) differential equations. Using bvp4c code in MATLAB software, the similarity solutions are graphically demonstrated for considerable parameters such as thermophoresis, Brownian motion and slips on the velocity, nanoparticles volume fraction and temperature profiles. The rate of heat transfer is reduced with the intensification of the anisotropic slip (difference of two-directional slip velocities) and the thermophoresis parameter, while the opposite result is obtained for the mass transfer rate. The study also revealed the existence of non-unique solutions on all the profiles, but, surprisingly, dual solutions exist boundlessly for any positive value of the control parameters. A stability analysis is implemented to assert the reliability and acceptability of the first solution as the physical solution.

Original languageEnglish
Article number1268
JournalEnergies
Volume12
Issue number7
DOIs
Publication statusPublished - 2 Apr 2019

Fingerprint

Stagnation Point Flow
Magnetohydrodynamic Flow
Thermophoresis
Magnetohydrodynamics
Slip
Nanoparticles
Stability Analysis
Fluxes
Brownian movement
Zero
Brownian motion
Mass transfer
Heat transfer
Mixed Effects
Dual Solutions
Nanofluid
Similarity Solution
Heat and Mass Transfer
Temperature Profile
Mass Transfer

Keywords

  • Nanofluid
  • Slip condition
  • Stability analysis
  • Stagnation sheet
  • Three-dimensional flow

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Energy (miscellaneous)
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip. / Khashi'ie, Najiyah Safwa; Arifin, Norihan Md; Mohd. Nazar, Roslinda; Hafidzuddin, Ezad Hafidz; Wahi, Nadihah; Pop, Ioan.

In: Energies, Vol. 12, No. 7, 1268, 02.04.2019.

Research output: Contribution to journalArticle

Khashi'ie, Najiyah Safwa ; Arifin, Norihan Md ; Mohd. Nazar, Roslinda ; Hafidzuddin, Ezad Hafidz ; Wahi, Nadihah ; Pop, Ioan. / A stability analysis for magnetohydrodynamics stagnation point flow with zero nanoparticles flux condition and anisotropic slip. In: Energies. 2019 ; Vol. 12, No. 7.
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