Stability analysis of MHD stagnation-point flow towards a permeable stretching/ shrinking sheet in a nanofluid with chemical reactions effect

Fatinnabila Kamal, Khairy Zaimi, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

Abstract

The magnetohydrodynamic (MHD) stagnation-point flow of a nanofluid towards a permeable stretching/shrinking sheet with chemical reaction effect is investigated. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which are then solved numerically using the boundary value problem solver, bvp4c built in Matlab software. The numerical results are obtained for the skin friction coefficient, local Nusselt number, local Sherwood number as well as the velocity, temperature and concentration profiles for some values of the governing parameters, namely suction/injection parameter and chemical reaction parameter. Dual solutions are found to exist for a certain range of the stretching/shrinking parameter. A stability analysis is performed to determine which solutions are stable and physically reliable. It is found that the first solutions are stable and the second solutions are unstable.

Translated title of the contributionStability analysis of MHD stagnation-point flow towards a permeable stretching/ shrinking sheet in a nanofluid with chemical reactions effect
Original languageMalay
Pages (from-to)243-250
Number of pages8
JournalSains Malaysiana
Volume48
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

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stagnation point
magnetohydrodynamics
chemical reactions
skin friction
suction
Nusselt number
boundary value problems
partial differential equations
temperature profiles
coefficient of friction
differential equations
velocity distribution
injection
computer programs
profiles

Keywords

    ASJC Scopus subject areas

    • General

    Cite this

    Analisis kestabilan aliran titik genangan MHD terhadap permukaan telap meregang/mengecut dalam nanobendalir dengan kesan tindak balas kimia. / Kamal, Fatinnabila; Zaimi, Khairy; Mohd Ishak, Anuar; Pop, Ioan.

    In: Sains Malaysiana, Vol. 48, No. 1, 01.01.2019, p. 243-250.

    Research output: Contribution to journalArticle

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    abstract = "The magnetohydrodynamic (MHD) stagnation-point flow of a nanofluid towards a permeable stretching/shrinking sheet with chemical reaction effect is investigated. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which are then solved numerically using the boundary value problem solver, bvp4c built in Matlab software. The numerical results are obtained for the skin friction coefficient, local Nusselt number, local Sherwood number as well as the velocity, temperature and concentration profiles for some values of the governing parameters, namely suction/injection parameter and chemical reaction parameter. Dual solutions are found to exist for a certain range of the stretching/shrinking parameter. A stability analysis is performed to determine which solutions are stable and physically reliable. It is found that the first solutions are stable and the second solutions are unstable.",
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    AU - Zaimi, Khairy

    AU - Mohd Ishak, Anuar

    AU - Pop, Ioan

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