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Heat transfer analysis of Cu–Al2O3 hybrid nanofluid with heat flux and viscous dissipation

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Abstract

Current research explores the influence of Cu–Al2O3 MHD hybrid nanofluid on heat conveyance and flow in a permeable channel with heat flux and viscous dissipation effects. As in hybrid nanofluid, \(\phi_{1}\) and \(\phi_{2}\) are used for volume fraction of Cu–Al2O3. We take \(\phi_{1} = 0.2\) and \(\phi_{2}\) of different ranges. A Newtonian fluid has been used as a base fluid. Appropriate mathematical modeling has been carried out, and the governing PDEs have been converted into ODEs by applying appropriate similarity transformations. Computations have been performed analytically by exercising homotopy analysis methodology. The influence of several novel parameters on flow fields has been discussed graphically. In addition, plots for skin friction and local Nusselt number for various values of the involved parameters have been drawn to analyze flow and conveyance of heat at the surface. It has been concluded that the fluid’s velocity increases, while the temperature decreases for increasing volume fraction. Temperature of the fluid has opposite behavior for cases of heat source/sink. It has also been found that viscous dissipation enhances the fluid temperature.

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Abbreviations

T :

Fluid temperature (K)

T w :

Surface temperature (K)

T H :

Upper wall temperature (K)

c p :

Specific heat (J kg k−1)

C f :

Skin friction coefficient

P:

Fluid pressure (Pa)

Nu:

Local Nusselt number

Pr:

Prandtl number

Ec:

Eckert number

Q o :

Heat flux parameter

M :

Hartmann number

u, v :

x, y velocity component (m s−1)

Re:

Reynolds number

B o :

Strength of magnetic field (T)

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

Nanoparticles volume fraction

\(\rho\) :

Fluid density (kg m−3)

\(\psi\) :

Stream function (m2 s−1)

\(\mu\) :

Dynamic viscosity (kg m−1 s−1)

\(\upsilon\) :

Kinematic viscosity (m2 s−1)

\(\sigma\) :

Electric conductivity (Sm−1)

\(\kappa\) :

Thermal conductivity (W m−1 k−1)

\(\gamma\) :

Dimensionless heat flux parameter

hnf:

Hybrid nanofluid

nf:

Nanofluid

f:

Base fluid

s1 :

First solid nanoparticle

s2 :

Second nanoparticle

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Kamra Road, Attock, 43600, Pakistan

    Aamir Ali, A. Noreen & M. Awais

  2. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    S. Saleem

  3. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    S. Saleem

  4. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia

    A. F. Aljohani

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  1. Aamir Ali
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  2. A. Noreen
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  3. S. Saleem
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  4. A. F. Aljohani
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  5. M. Awais
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Correspondence to S. Saleem.

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Ali, A., Noreen, A., Saleem, S. et al. Heat transfer analysis of Cu–Al2O3 hybrid nanofluid with heat flux and viscous dissipation. J Therm Anal Calorim 143, 2367–2377 (2021). https://doi.org/10.1007/s10973-020-09910-6

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