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Influence of an induced magnetic field and flow behavior of (AA7072–AA7075/water) hybrid nanoliquid in a vertical channel with suction velocity

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Abstract

This study investigates the influence of an induced magnetic field on the flow behavior of a hybrid nanofluid comprising AA7072 and AA7075 alloys dispersed in water within a vertical channel with a suction velocity. The research considers the effects of both the induced magnetic field and suction velocity, taking into account the prescribed surface temperature (PST) and prescribed heat flux (PHF) boundary conditions. This unique mixture offers potential applications in various engineering fields, making it an important subject for investigation. The suitable similarity rules are adopted for the transformation of the designed problem into a set of ordinary differential equations, which were solved using the DTM (Differential Transform Method). The study examined the influence of various non-dimensional parameters on the various flow profiles. The characteristics of these profiles, as well as the skin friction coefficient, heat transfer rate were extensively analyzed through the use of plots and tables. In important outcomes, it is observed that the enhanced magnetization augments the induced magnetic profile within the entire domain, whereas the particle concentrations have significant role in controlling the same profiles.

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Abbreviations

\(Ec\) :

Eckert number (dimensionless)

\(H_{0}\) :

Uniform magnetic field \(\left( {A/m} \right)\)

\(H_{{\text{x}}}^{*} ,H_{{\text{y}}}^{*}\) :

Induced magnetic field along x and y-axis \(\left( {A/m} \right)\)

\(C_\text{p}\) :

Specific heat \(\left( {J\,kg^{ - 1} K^{ - 1} } \right)\)

\(Gr\) :

Thermal Grashof number(dimensionless)

\(g\) :

Acceleration due to gravity \(\left( {m\, s^{-2} } \right)\)

\(\rho\) :

Density \(\left( {kg\, m^{-3} } \right)\)

\(M\) :

Magnetic parameter (dimensionless)

\(Pm\) :

Magnetic Prandtl number (dimensionless)

\(Q_{0}\) :

Heat source /sink coefficient \(\left( {W\, m^{-3} K^{-1}} \right)\)

\(Q\) :

Heat source/sink parameter

\(T^{*}\) :

Fluid temperature \(\left( K \right)\)

\(T_{{\text{w}}}^{*} ,T_{\infty }^{*}\) :

Wall and far-off temperature \(\left( K \right)\)

\(U_{0}\) :

Free stream velocity \(\left( {m \, s^{-1}} \right)\)

\(v_{0}\) :

Suction velocity \(\left( {m \,s^{-1}} \right)\)

\(u^{*} ,\;v^{*}\) :

Velocity components along the x and y- axis \(\left( {m \, s^{-1}} \right)\)

\(u,\;v\) :

Dimensionless velocity along the x and y- axis

\(x^{*} ,\;y^{*}\) :

Cartesian Co-ordinate \(\left( m \right)\)

\(\beta_{f}\) :

Thermal coefficient \(\left( {K^{ - 1} } \right)\)

\(\theta\) :

Dimensionless temperature

\(\kappa_{f}\) :

Thermal conductivity \(\left( {W \, m^{-1}\,K^{-1}} \right)\)

\(\upsilon_{f}\) :

Kinematic viscosity \(\left( {m^{2} \,s^{-1}} \right)\)

\(\mu\) :

Dynamic viscosity \(\left( {kg\,m^{-1}\, s^{-1} } \right)\)

\(\mu_{0}\) :

Magnetic permeability \(\left( {N A^{-2} } \right)\)

\(\sigma\) :

Electrical conductivity \(\left( {\Omega^{ - 1} m^{ - 1} } \right)\)

\(\chi\) :

Nanoparticle volume fraction

\(w\) :

Condition at the surface

\(\infty\) :

Condition at the far-off

\(f\) :

Fluid properties

\(nf,hnf\) :

Nanoliquid, Hybridnanofluid

\(s\) :

Nanoparticles properties

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Arunachal Pradesh, Papum Pare District, Jote, Arunachal Pradesh, 791113, India

    Ram Prakash Sharma

  2. Department of Basic and Applied Science, National Institute of Technology, Papum Pare District, Jote, Arunachal Pradesh, 791113, India

    Sunendra Shukla

  3. Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha, 751030, India

    S. R. Mishra

Authors
  1. Ram Prakash Sharma
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Contributions

RPS carried out the problem design and computation. SS was involved in writing—original draft preparation. SRM was involved in the computation, code validation, draft preparation, and had a role in methodology and writing. The authors read and approved the final manuscript.

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Correspondence to Ram Prakash Sharma.

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Sharma, R.P., Shukla, S. & Mishra, S.R. Influence of an induced magnetic field and flow behavior of (AA7072–AA7075/water) hybrid nanoliquid in a vertical channel with suction velocity. J Therm Anal Calorim 148, 11155–11166 (2023). https://doi.org/10.1007/s10973-023-12395-8

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  • DOI: https://doi.org/10.1007/s10973-023-12395-8

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