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Double-diffusive Air-CO2 mixture flow in a staggered cavity with numerous concave lower wall aspect ratios

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Abstract

In this paper, double-diffusion natural convection for staggered cavities with a concaved lower wall is investigated. The finite volume procedure is utilized to solve the governing equations along with the boundary conditions. The current code is validated with previously published results. Impacts of Rayleigh number (104 ≤ Ra ≤ 106), buoyancy ratio (− 5 ≤ N ≤ 5), Lewis number (1 ≤ Le ≤ 5), and aspect ratio (0.1 ≤ AR ≤ 0.2) on the flow characteristics are investigated and presented as isotherms, streamlines, and iso-concentrations contours. Moreover, alterations of average Nusselt and average Sherwood numbers with these parameters are analyzed and discussed thoroughly. It is found that average Nusselt and average Sherwood numbers augment with Rayleigh number and buoyancy ratio for aiding flows. These also are found to decrease with decreasing buoyancy ratio for opposing flows. Also, it is elucidated that the aspect ratio has an inverse relationship with average Nusselt and average Sherwood numbers in which the depression in these numbers is determined to be 10.4%.

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Abbreviations

AR:

Aspect ratio

c :

Concentration (kg m−3)

C :

Dimensionless concentrations

D :

Mass diffusivity (m2 s−1)

g :

Gravity acceleration (m s−2)

L :

Cavity length (m)

Le:

Lewis number

N :

Buoyancy ratio

Nuavg :

Average Nusselt number

p :

Pressure (Pa)

P :

Dimensionless pressure

Pr:

Prandtl number

R :

Arc radius (m)

Ra:

Rayleigh number

Shavg :

Average Sherwood number

T :

Temperature (K)

u,v :

Velocity components (m s−1)

U, V :

Dimensionless velocity components

x,y :

Dimensional coordinates (m)

X, Y :

Dimensionless coordinates

ρ :

Density (kg m−3)

α :

Thermal diffusivity (m2 s−1)

β :

Coefficient of thermal expansion (K−1)

ν :

Kinematic viscosity (m2 s−1)

θ :

Dimensionless temperature

H :

Hot

C :

Cold

h :

High

l :

Low

o :

Reference

S :

Solutal

T :

Thermal

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Funding

No funding was received to assist with the preparation of this manuscript.

Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Engineering College, University of Basrah, Basrah, Iraq

    Hassanein I. Khalaf & Khalid B. Saleem

  2. Department of Mechanical Engineering, University of Al-Qadisiyah, Al-Qadisiyah, Iraq

    Khaled Al-Farhany

  3. Department of Mechanical and Maintenance Engineering, School of Applied Technical Sciences, German Jordanian University, Amman, 11180, Jordan

    Wael Al-Kouz

Authors
  1. Hassanein I. Khalaf
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  2. Khalid B. Saleem
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  3. Khaled Al-Farhany
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  4. Wael Al-Kouz
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Correspondence to Khalid B. Saleem.

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Khalaf, H.I., Saleem, K.B., Al-Farhany, K. et al. Double-diffusive Air-CO2 mixture flow in a staggered cavity with numerous concave lower wall aspect ratios. Eur. Phys. J. Plus 136, 499 (2021). https://doi.org/10.1140/epjp/s13360-021-01486-w

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