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Dynamics of carbon nanotubes on Reiner–Philippoff fluid flow over a stretchable Riga plate

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Abstract

In this discussion, the influence of carbon nanotubes on fluid flow is explored with the aim of optimizing, facilitating and improving heat transfer and stabilizing the flowing base fluid in modern technology. The current fluid model called Reiner–Philippoff is characterized as pseudo-plastic, dilatant and Newtonian fluid subject to the viscosity variation, making it easy to navigate between fluid rheologies. As a result, the importance of lacing the Reiner–Philippoff fluid flow enhanced by magnetohydrodynamics with single-wall carbon nanotube (SWCNT) and multi-wall carbon nanotube (MWCNT) over a stretching sheet has been investigated. The governing mathematical model of the multi-variable differential equation has been transformed into a one-variable differential equation using a workable similarity transformation. The spectral local linearization method (SLLM) is employed to gain insight into the governing flow parameters, and the results are presented using tables and graphs. Prior to presenting the results of this study, the convergence and accuracy of the SLLM used for gaining insight into the governing flow parameters were established. Among the findings of this study is that the modified magnetic parameter supports the growth of the momentum boundary layer thickness for both SWCNT and MWCNT. The effective Prandtl number decreases the flow resistance more in the SWCNT compared to MWCNT.

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Abbreviations

a :

Stretching parameter

\(\bar{C}\) :

Concentration of the fluid

\(C_{f}\) :

Skin friction coefficient

\(c_{p}\) :

Specific heat capacity

\(D_{CT}\) :

Soret-type diffusivity

E\(_{c}\) :

Eckert number

f :

Velocity profile

g :

Transformed dependent variable

J :

Material constant

\(k_{1}\) :

Mean absorption coefficient

\(K^{*}_p\) :

Porosity parameter

Nu:

Nusselt number

Pr:

Prandtl number

\(q_{r}\) :

Radiative term

\(q_{w}\) :

Heat flux

R :

Radiation parameter

Re:

Reynolds number

Sc:

Schmidt number

Sr:

Soret number

Sh:

Sherwood number

\(\bar{T}\) :

Temperature of the fluid

\(\bar{u}\) :

Velocity component in the x-axis

\(u_{w}\) :

Mainstream velocity

\(\bar{v}\) :

Velocity component in the y-axis

\(\bar{x},\bar{y}\) :

Cartesian coordinates

Z :

Modified magnetic parameter

\(\gamma\) :

Bingham constant

\(\theta\) :

Temperature profile

\(\kappa\) :

Thermal conductivity

\(\lambda\) :

Reiner–Philippoff parameter

\(\rho\) :

Density

\(\nu\) :

Kinematic viscosity

\(\mu\) :

Dynamic viscosity

\(\pi\) :

Constant

\(\sigma ^{*}\) :

Stefan–Boltzmann constant

\(\uptau\) :

Shearing stress

\(\phi\) :

Concentration profile

\(\phi _{1}, \phi _{2}\) :

Nanoparticle volume fraction

\(\Omega\) :

Linearization coefficient

\(\eta\) :

Transformed independent variable

\(\psi\) :

Stream function

\(\Lambda\) :

Nanofluid expression

\(\infty\) :

Condition at infinity in the y-axis

\(\rm {f}\) :

Fluid

o :

Reference condition

x :

Local

w :

Wall

\(\rm {nf}\) :

Nanofluid

\(\rm {eff}\) :

Effective

\(\rm {MWCNT}\) :

Multi-wall carbon nanotubes

\(\rm {SWCNT}\) :

Single-wall carbon nanotubes

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, Nelson Mandela University, Port-Elizabeth, South Africa

    Yusuf O. Tijani

  2. Department of Mathematics, University of Ilorin, Ilorin, Nigeria

    Mojeed T. Akolade

  3. Department of Mathematics and Statistics, First Technical University, Ibadan, Nigeria

    Kazeem B. Kasali

  4. West Virginia Academy, Al Wukair, Qatar

    Hammed A. Ogunseye

Authors
  1. Yusuf O. Tijani
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  2. Mojeed T. Akolade
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  3. Kazeem B. Kasali
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  4. Hammed A. Ogunseye
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Correspondence to Yusuf O. Tijani.

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Tijani, Y.O., Akolade, M.T., Kasali, K.B. et al. Dynamics of carbon nanotubes on Reiner–Philippoff fluid flow over a stretchable Riga plate. Indian J Phys 98, 1007–1019 (2024). https://doi.org/10.1007/s12648-023-02872-z

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