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A novel approach for investigation of heat transfer enhancement with ferromagnetic hybrid nanofluid by considering solar radiation

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Abstract

The intention of the present work is to study the stability analysis of heat transfer enhancement occurring due to the influence of significant properties variation of fluids in the presence of thermal radiation with an aid of suspended hybrid nanofluids. The mathematical equations are converted into a pair of self-similarity equations by applying appropriate transformation. Runge Kutta Fehlberg 45th order method is applied to solve the reduced similarity equivalences numerically. The flow and energy transfer characteristics are studied for distinct values of important factors to obtain better perception of the problem. According to graphical results, heat transfer enhancement is higher for larger values of radiation parameter (R) and higher values of Prandtl number resulted in heat transfer reduction.

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Abbreviations

C f :

Skin friction coefficient

(c p)f :

Base fluid specific heat (J kg−1 K−1)

(c p)s 1 :

Specific heat of Cu nanoparticle (J kg−1 K−1)

(c p)s 2 :

Specific heat of Fe2O4 nanoparticle (J kg−1 K−1)

K = 6πμ nf r :

Stokes drag constant

k * :

Mean absorption coefficient

k ( f ) :

Base fluid thermal conductivity (W K−1 m−1)

k s 1 :

Cu nanoparticle thermal conductivity (W K−1 m−1)

k s 2 :

Thermal conductivity of Fe2O4 nanoparticle (W K−1 m−1)

n :

Shape of the nanoparticle

Nu x :

Local Nusselt number

Pr :

Prandtl number

R :

Radiation parameter

Re x = Ux/ν f :

Reynolds number

T :

Fluid particles temperature (K)

T ∞ :

Ambient fluid temperature (K)

u :

x axis velocity component (ms−1)

v :

y axis velocity component (ms−1)

σ*:

Stefan–Boltzmann constant

ρ hnf :

Hybrid nanofluid density (kg m−3)

μ hnf :

Hybrid nanofluid dynamic viscosity (Ns m−2)

ν hnf = μ hnf/ρ hnf :

Hybrid nanofluid kinematic viscosity (m2 s−1)

α hnf = k hnf/(ρc p)hnf :

Hybrid nanofluid thermal diffusivity (m2 s−1)

ϕ 1 and ϕ 2 :

Volume fraction of solid particles

ρ f :

Density of base fluid (kg m−3)

ρ s 1 :

Density of Cu nanoparticle (kg m−3)

ρ s 2 :

Density of Fe2O4 nanoparticle (kg m−3

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Authors and Affiliations

  1. Department of Mathematics, SJM Institute of Technology, Chitradurga, Karnataka, 577502, India

    K. Ganesh Kumar

  2. Department of Mechanical Engineering, School of Engineering, Australian College of Kuwait, Kuwait City, Kuwait

    Ehab Hussein Bani Hani

  3. Sustainable and Renewable Energy Engineering Department, University of Sharjah, Sharjah, United Arab Emirates

    Mamdouh El Haj Assad

  4. Faculty of Medicine and Health Sciences, Ghent University, 9000, Ghent, Belgium

    Mohammad Rahimi-Gorji

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

    S. Nadeem

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

    S. Nadeem

Authors
  1. K. Ganesh Kumar
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  2. Ehab Hussein Bani Hani
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  3. Mamdouh El Haj Assad
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  4. Mohammad Rahimi-Gorji
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  5. S. Nadeem
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Correspondence to S. Nadeem.

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Kumar, K.G., Hani, E.H.B., Assad, M.E.H. et al. A novel approach for investigation of heat transfer enhancement with ferromagnetic hybrid nanofluid by considering solar radiation. Microsyst Technol 27, 97–104 (2021). https://doi.org/10.1007/s00542-020-04920-8

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  • DOI: https://doi.org/10.1007/s00542-020-04920-8

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