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Unsteady mixed convection past a circular cylinder using ghost fluid cascaded lattice Boltzmann method (GF-CLBM)

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Abstract

This paper presents the transient hydrodynamic and heat transfer behaviour of a cross-flow over a heated circular cylinder under the influence of thermal buoyancy. The Reynolds number chosen for the present study is fixed as 100, and the Richardson number is varied from 0.1 to 2. A relatively new ghost fluid thermal lattice Boltzmann method (GF-TLBM) is used as the numerical solver. Cascaded collision model is incorporated into the code and validated successfully. As the Richardson number increases from 0.1 to 2, the buoyancy forces become dominant and tend to tilt the vortex shedding towards the vertical direction. The drag and lift coefficients as well as the Strouhal number and the average Nusselt number show an increasing trend with the increase in the Richardson number.

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Abbreviations

f :

Single-particle distribution function for density

g :

Single-particle distribution function for internal energy

ω :

Relaxation constant for collision

Ri:

Richardson number, \(\frac{Gr}{{\text{Re}^{2} }}\)

ρ :

Fluid density

T :

Time period of vortex shedding

τ :

Relaxation time for collision

θ :

Non-dimensional temperature

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Authors and Affiliations

  1. Department of Mechanical Engineering, IIT Madras, Chennai, India

    Vidyasagar Ravindra, Kameswararao Anupindi & Arvind Pattamatta

  2. Department of Mechanical Engineering, Madanapalle Institute of Technology and Science, Madanapalle, India

    Sampath Kumar Chinige

Authors
  1. Vidyasagar Ravindra
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  2. Sampath Kumar Chinige
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  3. Kameswararao Anupindi
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  4. Arvind Pattamatta
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Correspondence to Sampath Kumar Chinige.

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Ravindra, V., Chinige, S.K., Anupindi, K. et al. Unsteady mixed convection past a circular cylinder using ghost fluid cascaded lattice Boltzmann method (GF-CLBM). Int J Adv Eng Sci Appl Math 10, 281–290 (2018). https://doi.org/10.1007/s12572-018-0232-y

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  • DOI: https://doi.org/10.1007/s12572-018-0232-y

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