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Effects of Thermal Aspect Ratio on MHD Thermal Convection of Cu–Water Nanofluid Saturated Porous Cavity

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Recent Advancements in Mechanical Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This work scrutinizes the thermal energy transportation under the effect of varying thermal aspect ratio through the porous substances in an enclosure packed with Cu–H2O nanoliquid subjected to an externally imposed magnetizing field. The square porous enclosed space is sinusoidally heated at the bottom based on various thermal aspect ratios (a) and cooled partially at the middle-half portion of the sidewalls. Considering the imposed condition of the thermal aspect ratios (a), the thermo-fluidic phenomena and allied thermal energy transport process altered markedly within the flow domain. The porous substance modeling is handled through Brinkman-Forchheimer-Darcy Model. The finite volume method is implemented for developing in-house computing code and the same is utilized for solving coupled transport equations. The study is conducted under the impact of various controlling variables like modified Rayleigh number (Ram), the permeability of the porous matrix (using Darcy number, Da), the strength of the magnetic field (using Hartmann number, Ha), nanofluid volume fraction (\(\chi\)) and thermal aspect ratios (a). The thermal behavior of these cases is analyzed systematically and illustrated using streamlines, isotherms, heatlines contour, and heat transport characteristics. It is observed that the rate heat transfer is more at higher Ram with the increasing value of thermal aspect ratio still in the existence of porous substance under the impact of the magnetic field. As the Da value increases, the heat transfer rate decreases significantly. The inclusion of nanoparticles in the host liquid apparently improves the heat exchange rate ~0.11–2.15%.

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Abbreviations

a :

Thermal aspect ratio

B :

Magnetizing field (Tesla)

Da:

Darcy number

g :

Gravitational acceleration (ms−2)

H :

Cavity height (m)

Ha:

Hartmann number

k :

Thermal conductivity (Wm−1 K−1)

K :

Porous media permeability

Nu:

Nusselt number

p :

Pressure (Pa)

Pr:

Prandtl number

Ra:

Rayleigh number

Ram:

Darcy-Rayleigh number

T :

Temperature (K)

U, V :

Dimensionless velocity

X, Y :

Dimensionless coordinates

α :

Thermal diffusivity (m2s−1)

β :

Thermal expansion coefficient of fluid (K−1)

θ :

Temperature in dimensionless form

μ :

Dynamic viscosity (kgm−1 s−1)

v :

Kinematic viscosity (m2s−1)

ρ :

Mass density (kgm−3)

σ :

Electrical conductivity (Sm−1)

χ :

Volumetric concentration of nanoparticles

ψ :

Streamfunction in dimensionless form

c, h :

Cold wall, hot wall

f :

Base fluid

s :

Solid

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, M S Govt Polytechnic, Midnapur, West Bengal, India

    Milan K. Mondal

  2. Department Power Engineering, Jadavpur University, Salt Lake City, Kolkata, India

    Nirmalendu Biswas

  3. Department of Mechanical Engineering, NIT-Durgapur, Durgapur, West Bengal, India

    Aparesh Datta

  4. Department Mechanical Engineering, Jadavpur University, Jadavpur, Kolkata, India

    Nirmal K. Manna

  5. Department of Mechanical Engineering, College of Engineering and Management, Kolaghat, India

    Dipak Kumar Mandal

Authors
  1. Milan K. Mondal
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  2. Nirmalendu Biswas
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  3. Aparesh Datta
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  4. Nirmal K. Manna
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  5. Dipak Kumar Mandal
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Corresponding author

Correspondence to Nirmalendu Biswas .

Editor information

Editors and Affiliations

  1. Materials Modification (United States), Fairfax, VA, USA

    T. S. Sudarshan

  2. National Institute Of Technology Silchar, Silchar, India

    K. M. Pandey

  3. National Institute Of Technology Silchar, Silchar, India

    R. D. Misra

  4. National Institute Of Technology Silchar, Silchar, India

    P. K. Patowari

  5. Department of Mechanical Engineering, National Institute of Technology Agartala, Agartala, India

    Swapan Bhaumik

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Mondal, M.K., Biswas, N., Datta, A., Manna, N.K., Mandal, D.K. (2023). Effects of Thermal Aspect Ratio on MHD Thermal Convection of Cu–Water Nanofluid Saturated Porous Cavity. In: Sudarshan, T.S., Pandey, K.M., Misra, R.D., Patowari, P.K., Bhaumik, S. (eds) Recent Advancements in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-3266-3_11

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  • DOI: https://doi.org/10.1007/978-981-19-3266-3_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-3265-6

  • Online ISBN: 978-981-19-3266-3

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