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An Magnetohydrodynamics Effect of Non-Newtonian Fluid Flows Over a Stretching/Shrinking Surface with CNT

  • Research Article-Mechanical Engineering
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Abstract

In this study, carbon nanotubes, which serve as nanoparticles, are added to the basic fluid. By using a similarity transformation, the governing equations are converted into a set of ordinary differential equations (ODEs), which are then solved analytically. In order to simulate the flow and heat transfer behavior of carbon nanotubes, the Prandtl numbers for water and kerosene are 6.72 and 21, respectively. The precision of the analytical solution found in this study for the nonlinear flow of fluid containing carbon nanotubes is what makes it so beautiful. With the available experimental data, the proposed model is reliable. The main physical parameters for the Jeffrey fluid flow on the stretching/shrinking surface using carbon nanotubes are shown in tables and graphs and described in detail for the thermal and boundary layers. Carbon nanotubes enhance the heat more than the nanofluid; for this purpose, the work on carbon nanotubes flow through stretching/shrinking surfaces has many applications in biomedical, solar energy, generator cooling, nuclear system cooling, etc. Therefore, it is quite significant to assimilate the analytical extension of heat transfer fluid in the presence of magnetohydrodynamics under the influence of slip velocity. Further, carbon nanotubes can effectively elucidate the base materials’ thermal performance and mechanical properties. Here, we assimilated the extension of heat transfer fluid in the incidence of magnetohydrodynamics under the influence of slip velocity analytically. Further, carbon nanotubes can successfully elucidate the base materials’ thermal performance and mechanical properties.

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Abbreviations

\(B_{0}\) \(\left( {{\text{A}}/{\text{m}}} \right)\) :

Magnetic field

\(c,b\) :

Constants

\(C_{{\text{p}}}\) \(\left( {{\text{m}}^{2} \;{\text{s}}^{ - 2} \;{\text{K}}^{ - 1} } \right)\) :

Specific heat

\(d\) :

Stretching/shrinking coefficient

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

Skin friction

\(k\) \(\left( {{\text{kg}}\;{\text{ms}}^{ - 3} K^{ - 1} } \right)\) :

Thermal conductivity

\(k^{*}\) \(\left( {{\text{m}}^{ - 1} } \right)\) :

Absorption coefficient

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

Slip parameter

\(Nu\) :

Nusselt number

\(\Pr\) :

Prandtl number

\(Q\) :

Chandrasekhar number

\(q_{{\text{r}}}\) \(\left( {{\text{W}}\;{\text{m}}^{ - 2} } \right)\) :

Radiation heat flux

\(Rd\) :

Radiation parameter

\(T\) \(\left( {\text{K}} \right)\) :

Temperature

\(T_{{\text{w}}}\) \(\left( {\text{K}} \right)\) :

Wall temperature

\(T_{\infty }\) \(\left( {\text{K}} \right)\) :

Ambient temperature

\(V_{{\text{c}}}\) :

Mass transpiration

\(u,v\) \(\left( {{\text{ms}}^{ - 1} } \right)\) :

Velocity complements

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

Coordinate axis

\(\alpha\) \(\left( {{\text{m}}^{2} \;{\text{s}}^{ - 1} } \right)\) :

Thermal diffusivity

\(\beta\) :

Deborah number

\(\Lambda\) :

Stagnation parameter

\(\chi_{1}\) :

Relaxation ratio

\(\chi_{2}\) :

Retardation time

\(\eta\) :

Similarity variable

\(\nu\) :

Kinematic viscosity

\(\mu\) :

Dynamic viscosity

\(\rho\) :

Density

\(\tau\) :

Inclined angle

\(\sigma\) :

Electrical conductivity

\(\sigma *\) :

Stefan–Boltzmann constant

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

First-order and second-order slip parameters

\(\lambda\) :

Solution domain

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

Wall heat flux

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

Surface heat flux

\(\varepsilon_{1}\), \(\varepsilon_{2}\), \(\varepsilon_{3}\), \(\varepsilon_{4}\) :

Constants

\(f\) :

Base fluid

\(nf\) :

Nanofluid

\({\text{CNT}}\) :

Carbon nanotube

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Authors and Affiliations

  1. Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, 577 007, India

    K. N. Sneha, U. S. Mahabaleshwar & K. M. Nihaal

  2. Department of Mechanical and Nuclear Engineering, College of Engineering, University of Sharjah, 27272, Sharjah, United Arab Emirates

    H. F. Oztop

  3. Department of Mechanical Engineering, Technology Faculty, Fırat University, Elazig, Turkey

    H. F. Oztop

  4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

    H. F. Oztop

Authors
  1. K. N. Sneha
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  2. U. S. Mahabaleshwar
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  3. K. M. Nihaal
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  4. H. F. Oztop
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Correspondence to K. M. Nihaal or H. F. Oztop.

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Sneha, K.N., Mahabaleshwar, U.S., Nihaal, K.M. et al. An Magnetohydrodynamics Effect of Non-Newtonian Fluid Flows Over a Stretching/Shrinking Surface with CNT. Arab J Sci Eng (2024). https://doi.org/10.1007/s13369-023-08528-8

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