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Numerical analysis of double-diffusive free convection in a curvilinear cavity filled with nanofluid and triple fins attached to the hot walls

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Abstract

This work has numerically investigated the double diffusion of free convection in a curvilinear enclosure filled with nanoliquid and containing fins with heat generation/absorption. The considered enclosure, the curvilinear cavity, has triple fins connected to the inclined walls, which are hot and have a high intensity of solutal; however, the top wall is cold and low intensity of solutal. The bottom walls, as well as the vertical walls, are considered to be isotopically insulated. The parameters that are considered are Rayleigh (from 103 to 105), Hartmann (from 0 to 60), heat generation/absorption, q, (− 4 to 3), bouncy ratio (N =  − 4 to 4), Lewis number (Le = 0.5–10), volume concentration (Φ = 0–0.06) at fixed Prandtl number. The governing equations have been numerically solved and applying the FEM technique. The important findings explain how heat and mass transfer can be improved by increasing the value of Ra, q, and Φ while decreasing with the increase in Ha. Also, the rise of the N ratio and Le number until (N = 2), where the reduction value reaches 44% from (N =  − 4) to (N = 2) at (Le = 0.5), and the effect of both N and Le become negligible for (N > 2). Furthermore, the value of Shavg has the same behaviour as Nuavg with N, where Shavg decreases with increasing N and increases with increasing Le, where maximum mass transfer enhancement reaches 65% at N =  − 4. The effects of N and Le become negligible at N = 2.

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Data Availability Statement

The authors confirm that the data supporting the results of this investigation are present in this article.

Abbreviations

C :

Concentration

C p :

Specific heat

g :

Gravitational acceleration

k :

Thermal conductivity

L :

Length of the cavity

N :

Buoyancy ratio

Nu:

Nusselt number

P :

Dimensionless pressure

Pr:

Prandtl number

Ra:

Rayleigh number

Sh:

Sherwood numbers

T :

Dimensional temperature

U :

Dimensionless velocity component X-direction

V :

Dimensionless velocity component Y-direction

X :

Dimensionless X-coordinates

Y :

Dimensionless Y-coordinates

α :

Thermal diffusivity

β :

Thermal expansion coefficient

µ :

Dynamic viscosity

θ :

Dimensionless temperature

\(\psi\) :

Stream function

Φ :

Nanoparticle volume concentration

l :

Low

h :

High

avg :

Average

loc :

Local

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Al-Qadisiyah, Ad-Diwaniyah, 58001, Iraq

    Mohammed Azeez Alomari & Khaled Al-Farhany

  2. College of Engineering, University of Warith Al-Anbiyaa, Karbala, Iraq

    Mohammed Azeez Alomari

  3. Department of Business Administration, College of Administrative and Financial Sciences, Cihan University-Erbil, Erbil, Iraq

    Qusay H. Al-Salami

  4. Department of Information Technology, College of Engineering and Computer Science, Lebanese French University, Erbil, Kurdistan Region, Iraq

    Farah Q. A. Alyousuf

  5. Optics Techniques Department, College of Technology and Health Sciences, Al-Mustaqbal University, 51005, Hillah, Iraq

    I. R. Ali

  6. Department of Power Engineering, Jadavpur University, Salt Lake, Kolkata, 700106, India

    Nirmalendu Biswas

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  1. Mohammed Azeez Alomari
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Correspondence to Khaled Al-Farhany.

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Alomari, M.A., Al-Farhany, K., Al-Salami, Q.H. et al. Numerical analysis of double-diffusive free convection in a curvilinear cavity filled with nanofluid and triple fins attached to the hot walls. Eur. Phys. J. Plus 139, 149 (2024). https://doi.org/10.1140/epjp/s13360-024-04941-6

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