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Initial Flow Behavior in Laminar Line Source Twin Plumes of Equal Strength

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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

We present two-dimensional direct numerical simulations for two laminar line source plumes of equal strength, which are placed side by side at the same level, in an open surrounding, with the supply of constant heat flux at the heat sources. We have performed the simulation for the effective Rayleigh number (based on constant heat flux supplied at the heat source) \(1 \times 10^{6}\) and Prandtl number 7, for different source separations as 2D, 3D, 4D, 5D, 6D, and equivalent single plume, where D is the diameter of the cylindrical heat source. We observed that with the increase in source separations, the plume ejects more mass sideways after merging, which leads to an increase in the heat transfer in the lateral direction in a quadratic fashion. Also, for larger source separations, the merged plume becomes more stable and hence rises with lesser fluctuations in vertical velocities.

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Abbreviations

d:

Source separation [m]

g:

Gravitational acceleration [m/s2]

p:

Dynamic pressure [kg/ms2]

P:

Power supplied at source [W]

\(\overline{{q_{x} }}\):

Mean heat flux in x-direction [W/m2]

Q:

Total heat transfer [J]

Qref:

Reference total heat transfer [J]

R:

Radius of the cylindrical heater [m]

Raf:

Rayleigh flux number

t:

Time [s]

T:

Temperature field [K]

Tm:

Mean temperature [K]

u:

X-Component of velocity field [m/s]

v:

Y-Component of velocity field [m/s]

u:

Velocity field vector [m/s]

Uref:

Reference velocity [m/s]

\(v_{{{\text{rms}}}}^{\prime}\):

Root mean square of vertical velocity fluctuation [m/s]

\(\sigma\):

Prandtl number [–]

\(\nu\):

Kinematic viscosity [m2/s]

\(\alpha\):

Thermal expansion coefficient [1/K]

\(\kappa\):

Thermal diffusivity [m2/s]

\(\rho\):

Fluid density [kg/m3]

\(\tau\):

Reference time [s]

\(\chi\):

Reference temperature [K]

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Acknowledgements

We sincerely thank National Super Computing Mission-India and Param Shakti for providing the necessary computing resources.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, IIT Kharagpur, Kharagpur, 721302, India

    Ujjwal Chetan, Saurabh Dhopeshwar & Rajaram Lakkaraju

  2. Advanced Technology Development Centre, IIT Kharagpur, Kharagpur, 721302, India

    Toshan Lal Sahu

  3. School of Energy Science and Engineering, IIT Kharagpur, Kharagpur, 721302, India

    Prabir Kumar Kar

Authors
  1. Ujjwal Chetan
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  2. Prabir Kumar Kar
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  3. Toshan Lal Sahu
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  4. Saurabh Dhopeshwar
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  5. Rajaram Lakkaraju
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Corresponding author

Correspondence to Ujjwal Chetan .

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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Chetan, U., Kar, P.K., Sahu, T.L., Dhopeshwar, S., Lakkaraju, R. (2024). Initial Flow Behavior in Laminar Line Source Twin Plumes of Equal Strength. 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_53

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  • DOI: https://doi.org/10.1007/978-981-99-5755-2_53

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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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