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An impact of MHD and radiation on flow of Jeffrey fluid with carbon nanotubes over a stretching/shrinking sheet with Navier’s slip

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Abstract

This article focuses on MHD flow and heat transfer of Jeffrey fluid due to a stretching/shrinking surface with carbon nanotubes, considering the effects of thermal radiation, heat source/sink parameters, and Navier’s slip. Generally, solids offer higher thermal conductivity than fluids. To offer higher thermal conductivity, a new type of nanofluid is formed by suspending two types of carbon nanotubes (CNTs), i.e. single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes (MWCNTs), which act as nanoparticles, into the base fluid, water. It is intended to enhance the thermal conductivity and mechanical properties of the base fluid. The structure of the problem is an equation of momentum and temperature, which are then converted into a set of ODEs to imitate the MHD flow of carbon nanotubes. The magnetic parameter, radiation parameter, and Navier slip effect significantly affect the structure of the solution to the problem. Carbon nanotubes act as nanoparticles that enhance the heat performance and mechanical properties more than the base fluid, so they have many applications in electronics and transportation. The velocity and temperature profiles, skin friction coefficient, and Nusselt number are observed and discussed through graphs. The results reveal that for stretching case, velocity profile increases with increasing the magnetic field, while the opposite trend observed in shrinking case. We notice that the SWCNT Nanofluids are better nanofluids than the MWCNT Nanofluids. We study from these final results that the usage of CNTs in most cancerous therapies can be more useful than all sorts of nanoparticles.

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Abbreviations

a, c:

Constants

B 0 :

Applied magnetic field (wm−2)

β :

Constants

Cf :

Skin friction coefficient

C p :

Specific heat (Kg m−3)

d :

Stretching/shrinking sheet parameter

f :

Similarity variable for velocity

L 1 :

Navier’s slip

M :

Magnetic parameter (–)

N R :

Radiation parameter (–)

q r :

Heat flux (Wm–2)

Vc:

Mass transpiration parameter

Pr:

Prandtl number

Nux :

Local Nusselt number

T :

Temperature field (K)

T w :

Wall temperature

\(T_{\infty }\) :

Ambient temperatureȶ

Vw :

Wall mass transfer velocity (ms−1)

u,v :

Velocities along x- and y- direction (ms−1)

x, y :

Co-ordinate axes (m)

\(\alpha\) :

Thermal diffusivity (m s−1)

\(\beta\) :

Deborah number

\(\mu\) :

Dynamic viscosity of nanofluid (m2 s−1)

\(\nu\) :

Kinematic viscosity (m2 s−1)

\(\rho\) :

Density (Kg m−3)

\(\sigma\) :

Electrical conductivity (S m–1)

\(\eta\) :

Similarity variable

\(\theta\) :

Similarity variable for temperature

\(\lambda\) :

Stagnation/strength parameter

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

Material parameters of Jeffrey fluid

f :

Parameter of base fluid

nf:

Parameter of nanofluid

w :

Parameter at the wall

\(\infty\) :

Ambient condition

B.Cs:

Boundary conditions

CNTs:

Carbon nanotubes

ODE:

Ordinary differential equations

PDE:

Partial differential equations

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Authors and Affiliations

  1. Department of Mathematics, Shivagangotri, Davangere University, Davangere, India

    T. Anusha & U. S. Mahabaleshwar

  2. Department of Mechanical Engineering, Birla Institute of Technology and Science Pilani, Pilani Campus, Vidhya Vihar, Pilani,, 333 031, Rajasthan, India

    Suvanjan Bhattacharyya

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  1. T. Anusha
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  2. U. S. Mahabaleshwar
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  3. Suvanjan Bhattacharyya
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Correspondence to Suvanjan Bhattacharyya.

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Anusha, T., Mahabaleshwar, U.S. & Bhattacharyya, S. An impact of MHD and radiation on flow of Jeffrey fluid with carbon nanotubes over a stretching/shrinking sheet with Navier’s slip. J Therm Anal Calorim 148, 12597–12607 (2023). https://doi.org/10.1007/s10973-023-12588-1

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