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CNTS-Water–Based Nanofluid Over a Stretching Sheet

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Abstract

This article mainly focuses on the energy transfer with the effects of carbon nanotubes (CNTs) of magnetohydrodynamic (MHD) nanofluids flow past a stretching sheet under thermal radiation and Newtonian heating. Single and multi-wall CNTs are considered in water as convectional based fluid. With the help of similarity transformations, the nonlinear ODEs are obtained from system of PDEs. Closed form analytic solutions are obtained for velocity, temperature, and concentration. These solutions are plotted and discussed for pertinent parameters. The results indicate that temperature of CNTs-water–based nanofluid is higher than CNTs-engine oil (or kerosene). Further, heat transfer rate increases due to suspension of CNTs.

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Abbreviations

B 0 :

strength of magnetic field

C :

species concentration

(c p)nf :

nanofluid heat capacity

D f :

mass diffusivity of base fluid

D nf :

nanofluid mass diffusivity

h s :

heat transfer coefficient

k :

permeability

k 1 :

mean absorption coefficient

k f :

thermal conductivity of base fluid

k CNT :

carbon nanotubes thermal conductivity

K nf :

nanofluid thermal conductivity

M :

magnetic parameter

P :

porosity parameter

Pr:

Prandtl number

q r :

radiative heat flux

Sc :

Schmidt number

T :

temperature of the fluid

T ∞ :

ambient temperature

α nf :

nanofluid thermal diffusivity

γ :

conjugate parameter for Newtonian heating

μ f :

base fluid dynamic viscosity

μ nf :

nanofluid dynamic viscosity

ρ f :

density of base fluid

ρ CNT :

carbon nanotubes density

ρ nf :

nanofluid density

σ ∗ :

Stefan–Boltzmann constant

σ f :

electric conductivity of base fluid

σ CNT :

carbon nanotubes electric conductivity

σ nf :

nanofluid electric conductivity

θ :

dimensionless temperature

Φ :

dimensionless concentration

ϕ :

nanoparticle volume fraction

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Funding

The research is supported by China Postdoctoral Science Foundation (Grant No. 2018M643156).

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, China

    Abid Hussanan

  2. Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, 518060, China

    Abid Hussanan

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

    Ilyas Khan

  4. Department of Mathematics, Ghent University, Ghent, Belgium

    Mohammad Rahimi Gorji

  5. Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khober, Saudi Arabia

    Waqar A. Khan

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  1. Abid Hussanan
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  4. Waqar A. Khan
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Correspondence to Ilyas Khan.

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Hussanan, A., Khan, I., Gorji, M.R. et al. CNTS-Water–Based Nanofluid Over a Stretching Sheet. BioNanoSci. 9, 21–29 (2019). https://doi.org/10.1007/s12668-018-0592-6

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  • DOI: https://doi.org/10.1007/s12668-018-0592-6

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