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Characteristics of moving hot block and non-Fourier heat flux model on sinusoidal wavy cavity filled with hybrid nanofluid

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Abstract

This paper examines the natural convection in a sinusoidal wavy cavity filled with TiO2–Cu/water hybrid nanofluid under the effect of internal heat generation, inclined magnetic field and thermal radiation. The non-Fourier heat flux model is utilized for the formulation of the temperature equation. This type of wavy cavity investigation is suitable in the cooling systems of microelectronic devices, wall bricks, underground cable systems and mass and heat transfers occurring in chemical reactors. The dimensionless forms of governing equations and boundary conditions are transformed numerically using the finite volume approach via the SIMPLER algorithm simultaneously with MATLAB solver. The gained outcomes are portrayed graphically via streamlines, isotherms, local and average Nusselt numbers. The heat transfer rate and fluid flow in view of internal heated and wavy walls play a significant role. The higher values of heat generation parameter increase the rate of heat transfer and decrease the local Nusselt numbers. Improving the undulation parameter increases the complexity of the flow domain and reduces convective transport as a result. When compared to TiO2 nanoparticle, Cu nanoparticles generate a high heat transfer rate in Ha. The internal heat generation parameter is increased from − 2 to 2, it grouped the streamlines closer toward the heated wall and to the top of the cold wall.

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Abbreviations

Ha:

Hartmann number

Q :

Heat source

C p :

Specific heat

Tio2 :

Titanium dioxide

Cu:

Copper

k :

Thermal conductivity

Nu m :

Average nusselt number

H :

Length of enclosure

Rd :

Thermal radiation

Ra:

Rayleigh number

B :

Left wall length

Pr:

Prandtl number

P :

Pressure (Nm−2)

g :

Gravitational field (m s−2)

B 0 :

Magnetic field

Nu v :

Local nusselt number

T :

Temperature

x, y :

Cartesian coordinates

X, Y :

Dimensionless cartesian coordinates

U :

Dimensionless velocity component along x-direction

u :

Velocity component along x-direction (ms−1)

v :

Velocity component along y-direction (m s −1)

V :

Dimensionless velocity component along y-direction

\(\gamma\) :

Relaxation parameter

\(\nu\) :

Kinematic viscosity (m2s−1)

\(\alpha\) :

Thermal diffusivity (m2 s−1)

\(\lambda\) :

Number of undulations

\(\theta\) :

Dimensionless temperature

\(\mu\) :

Dynamic viscosity (kg m−1 s−1)

\(\phi\) :

Nanoparticles volume fraction

\(\sigma\) :

Electrical conductivity (s m−1)

\(\Phi\) :

Inclination angle

\(\rho\) :

Density (kg m−3)

f :

Fluid

c :

Cold

nf :

Nanofluid

hnf :

Hybrid nanofluid

bf :

Base fluid

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Authors and Affiliations

  1. Department of Mathematics, S.A.S., Vellore Institute of Technology, Vellore, 632014, India

    Jakeer Shaik & Bala Anki Reddy Polu

  2. Department of Mathematics, Faculty of Science, Assuit University, Assuit, Egypt

    Mansour Mohamed Ahmed

  3. Department of Mathematics, Faculty of Science, Aswan University, Aswan, 81528, Egypt

    Rashad Ahmed Mohamed

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  1. Jakeer Shaik
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  2. Bala Anki Reddy Polu
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  3. Mansour Mohamed Ahmed
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  4. Rashad Ahmed Mohamed
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Correspondence to Bala Anki Reddy Polu.

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Shaik, J., Polu, B.A.R., Mohamed Ahmed, M. et al. Characteristics of moving hot block and non-Fourier heat flux model on sinusoidal wavy cavity filled with hybrid nanofluid. Eur. Phys. J. Plus 137, 131 (2022). https://doi.org/10.1140/epjp/s13360-022-02361-y

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