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Mixed Convective Magneto Flow of SiO2–MoS2/C2H6O2 Hybrid Nanoliquids Through a Vertical Stretching/Shrinking Wedge: Stability Analysis

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Abstract

Hybrid nanoliquid as an expansion of nanoliquid is acquired by scattering combination of nano-powder or numerous distinct nanomaterials in the regular liquid. Hybrid nanofluids are impeding fluids which furnish better performance of heat transport and thermo-physical properties than convectional heat transport fluids (ethylene glycol, water and oil) and nanofluids with single material. At this juncture, a sort of hybrid nanofluid comprising nano-size materials through an ethylene glycol as a regular liquid is modeled to expand the magnetic impact on the mixed convection flow through a shrinking/stretched wedge. The impacts of Joule heating and viscous dissipation are also revealed. The PDEs which governed the flow problem with heat transport are changed into a dimensionless ODEs system through a similarity technique. Then these equations are numerically exercised by utilizing bvp4c solver. The impact of emerging constraints on the flow field with heat transport is discussed with the aid of plots. Also, the stability analysis is implemented to classify which result is physically reliable and stable.

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Abbreviations

\(U_{0}\), \(U_{\infty }\) :

Constants

\(B_{0}\) :

Magnetic field strength

\(C_{{\text{F}}}\) :

Skin friction coefficient

\(c_{{\text{p}}}\) :

Specific heat

\({\text{Ec}}\) :

Eckert number

\(f\) :

Dimensionless velocity

\(g\) :

Gravity acceleration

\({\text{Gr}}_{x}\) :

Grashof number

\(k\) :

Thermal conductivity

\(M\) :

Magnetic number

\(m\) :

Falkner–Skan power-law parameter

\({\text{Nu}}_{x}\) :

Nusselt number

\({\Pr}\) :

Prandtl number

\({\text{Re}}_{x}\) :

Local Reynolds number

\(s\) :

Suction parameter

\(T\) :

Temperature

\(T_{{\text{w}}} (x)\) :

Wall temperature

\(T_{\infty }\) :

Ambient temperature

\(\theta\) :

Dimensionless temperature

\(\left( {u,v} \right)\) :

Velocity components

\(u_{{\text{w}}} (x)\) :

Stretching velocity

\(u_{\infty } (x)\) :

Free stream velocity

\(v_{{\text{w}}}\) :

Mass flux velocity

\(\left( {x,y} \right)\) :

Cartesian coordinates

\(\alpha\) :

Thermal diffusivity

\(\beta\) :

Thermal expansion

\(\beta_{1}\) :

Hartree of pressure

\(\varepsilon\) :

Wall thickness parameter

\(\lambda\) :

Stretching/shrinking parameter

\(\lambda_{1}\) :

Mixed convection parameter

\(\varsigma\) :

Growth and decay distribution parameter

\(\mu\) :

Dynamic viscosity

\(\Omega\) :

Angle

\(\phi_{1} ,\phi_{2}\) :

The volume fraction of nanoparticles

\(\nu_{{\text{f}}}\) :

Kinematic viscosity of the base fluid

\(\rho\) :

Density

\(\sigma\) :

The electrical conductivity

\(\tau\) :

Dimensionless variable

\(\left( {\rho c_{{\text{p}}} } \right)\) :

Heat capacity

\(\psi\) :

Stream function

\(\eta\) :

Similarity variable

f :

Base fluid

s 1 ,s 2 :

Solid nanoparticles

nf:

Nanofluid

hnf:

Hybrid nanofluid

w :

Wall boundary condition

\(\infty\) :

Free-stream condition

‘:

Derivative w.r.t. \(\eta\)

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Authors and Affiliations

  1. Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, 65200, Sindh, Pakistan

    Umair Khan

  2. Department of Mathematical Sciences, Federal Urdu University of Arts, Science and Technology, Gulshan-E-Iqbal, Karachi, 75300, Pakistan

    A. Zaib

  3. Department of Physics, Faculty of Sciences, University of 20 août 1955-Skikda, Road El-Hadaiek, B.P. 26, 21000, Skikda, Algeria

    Fateh Mebarek-Oudina

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  1. Umair Khan
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Correspondence to Fateh Mebarek-Oudina.

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Khan, U., Zaib, A. & Mebarek-Oudina, F. Mixed Convective Magneto Flow of SiO2–MoS2/C2H6O2 Hybrid Nanoliquids Through a Vertical Stretching/Shrinking Wedge: Stability Analysis. Arab J Sci Eng 45, 9061–9073 (2020). https://doi.org/10.1007/s13369-020-04680-7

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  • DOI: https://doi.org/10.1007/s13369-020-04680-7

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