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Asymmetry Analysis of the MHD Flow in Sudden Expansion

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Fluid Mechanics and Fluid Power, Volume 6 (FMFP 2022)

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

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Abstract

A numerical study has been done on a liquid metal magnetohydrodynamics (MHD) flow for sudden expansion with an expansion ratio of 4. The effect of the magnetic field on the fluid flow asymmetry is investigated. A magnetic field with a fixed value of Hartmann number is applied to understand the effect on the flow asymmetry. The present study mainly focuses on flow asymmetry occurring due to sudden expansion. The study is done at a fixed Hartmann Number of Ha = 5 and different Reynolds numbers ranging from Re = 40 − 80. The flow asymmetry is observed at various values of the Reynolds number (Re). The results of the study suggest that a magnetic field in the direction of the fluid flow reduces the flow asymmetry significantly. The flow becomes completely symmetric at Reynolds number of Re = 55 when Hartmann number is fixed at Ha = 5.

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Abbreviations

B:

Applied magnetic field [kg·s‒2·A‒1]

L1:

Length of the inlet part [m]

L2:

Length of the expanded part [m]

d1:

Height of inlet section [m]

d2:

Height of expanded section [m]

Ha:

Hartmann number –

Re:

Reynolds number -

j:

Electric current density [A·m‒2]

ρ:

Density [Kg.m−3]

P:

Pressure [N·m‒2]

N:

Stuart number –

X & Y:

Cartesian co-ordinates [m]

U:

Velocity of fluid [m·s−1]

v:

Vertical velocity component [m·s−1]

σ:

Fluid electrical conductivity [s3·A2·m−3·kg−1]

ϕ:

Electric potential [m2·kg·s−3·A−1]

μ:

Dynamic viscosity [kg m−1 s−1]

τ:

Non-dimensional time component [s]

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Maulana Azad National Institute of Technology Bhopal, Bhopal, 462003, India

    Rupesh Baroniya, Manoj Arya & N. L. Gajbhiye

Authors
  1. Rupesh Baroniya
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  2. Manoj Arya
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  3. N. L. Gajbhiye
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Corresponding author

Correspondence to Rupesh Baroniya .

Editor information

Editors and Affiliations

  1. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, Uttarakhand, India

    Krishna Mohan Singh

  2. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, Uttarakhand, India

    Sushanta Dutta

  3. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, India

    Sudhakar Subudhi

  4. Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, Uttarakhand, India

    Nikhil Kumar Singh

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Baroniya, R., Arya, M., Gajbhiye, N.L. (2024). Asymmetry Analysis of the MHD Flow in Sudden Expansion. In: Singh, K.M., Dutta, S., Subudhi, S., Singh, N.K. (eds) Fluid Mechanics and Fluid Power, Volume 6. FMFP 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5755-2_40

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  • DOI: https://doi.org/10.1007/978-981-99-5755-2_40

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-5754-5

  • Online ISBN: 978-981-99-5755-2

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