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Squeezing Flow of Carbon Nanotubes-Based Nanofluid in Channel Considering Temperature-Dependent Viscosity: A Numerical Approach

  • Research Article-Mechanical Engineering
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Abstract

In this article, we have considered unsteady squeezing flow between two infinite parallel plates. The time-dependent magnetic field normal to the plate surface is taken into consideration with fluid thermal radiations. Fluid dynamic viscosity is sensitive to temperature. Governing partial differential equations (PDE) are transformed into ordinary differential equations (ODE) by introducing suitable similarity transformations. The reduced highly nonlinear ordinary differential equations are then solved numerically with the help of the Keller box method. Numerical and graphical results depict that the velocity profile decreases with rising values of variable viscosity parameter, while fluid temperature distribution increases. Results for local skin friction and Nusselt numbers are also computed. Numeric shows that skin friction coefficient, as well as the Nusselt number, decreases with variable viscosity parameter. The heat transfer rate declines with the radiation parameter but escalates for the squeezing parameter.

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Abbreviations

\( u, v \) :

Velocities along x and y-axis, respectively

\( \rho_{nf} , \mu_{nf} \) :

Effective density and dynamic viscosity of nanofluid

\( p \) :

Fluid pressure

\( B\left( t \right), \sigma \) :

Magnetic field and electric charge density, respectively

\( \sigma_{e} \) :

Stefan–Boltzmann constant

\( C_{p} \) :

Heat capacitance

\( S \) :

Squeezing parameter

\( T, q_{r} \) :

Fluid temperature and radiative heat flux, respectively

\( T_{c} , T_{h} \) :

The temperature at center and distance h(t), respectively

\( f, \theta \) :

Dimensionless velocity and temperature, respectively

\( \theta_{r} \) :

Variable viscosity parameter

\( K_{nf} , \alpha_{nf} \) :

Thermal conductivity and diffusivity of nanofluid

\( \varphi \) :

The volume fraction of CNT

\( Rd \) :

Thermal radiation parameter

\( \beta_{R} \) :

Mean absorption constant

\( Ha, Pr \) :

Hartmann number and Prandtl number, respectively

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Acknowledgment

The authors would like to express their gratitude to King Khalid University, Abha 61413, Saudi Arabia, for providing administrative and technical support.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, Institute of Business Management, Karachi, Pakistan

    Z. Ahmed

  2. Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia

    S. Saleem

  3. Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, 72915, Vietnam

    S. Nadeem

  4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, 72915, Vietnam

    S. Nadeem

  5. Department of Mathematics, Gomal University, D.I. Khan, 29050, Khyber Pakhtunkhwa, Pakistan

    A. U. Khan

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  1. Z. Ahmed
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  2. S. Saleem
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  3. S. Nadeem
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  4. A. U. Khan
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Correspondence to S. Saleem.

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Ahmed, Z., Saleem, S., Nadeem, S. et al. Squeezing Flow of Carbon Nanotubes-Based Nanofluid in Channel Considering Temperature-Dependent Viscosity: A Numerical Approach. Arab J Sci Eng 46, 2047–2053 (2021). https://doi.org/10.1007/s13369-020-04981-x

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  • DOI: https://doi.org/10.1007/s13369-020-04981-x

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