Numerical simulation for nanofluid forced/free convection in a partially heated parallelogram enclosure: Effects of wall undulation and inclined Lorentz forces

The present study possesses the mathematical computational analysis for mixed convection nanofluid (CuO–water) flow in a lid‐driven parallelogram enclosure with corrugated walls. A partially heated source is located at the bottom corrugated wall. The remaining portions of upper and lower corrugated...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Mechanik 2023-01, Vol.103 (1), p.n/a
Main Authors: Ullah, Naeem, Nadeem, Sohail, Ghazwani, Hassan Ali
Format: Article
Language:English
Subjects:
Amplitudes
Cold flow
Computer simulation
Enclosures
Finite element method
Forced convection
Free convection
Lorentz force
Nanofluids
Nanoparticles
Partial differential equations
Richardson number
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Summary:The present study possesses the mathematical computational analysis for mixed convection nanofluid (CuO–water) flow in a lid‐driven parallelogram enclosure with corrugated walls. A partially heated source is located at the bottom corrugated wall. The remaining portions of upper and lower corrugated boundaries are adiabatic. The verticals walls are kept cold. The flow dynamic established with wall undulation and inclined Lorentz forces generate complex mathematical formulation via partial differential equations. Finite element method is implemented to get numerical interpretation of these equations. The simulation is performed against various emerging parameters and the outcomes in terms of isotherms, streamlines and line graphs. The results are recorded against various Richardson numbers (10−2≤Ri≤102)$(10^{-2}\le Ri \le 10^{2})$, Hartman number (0≤Ha≤100)$(0\le Ha \le 100)$, nanoparticles volume fraction (0≤ϕ≤0.2)$(0 \le \phi \le 0.2)$, and amplitude of the corrugated horizontal walls (0.02≤Am≤0.10)$(0.02\le A_m \le 0.10)$. It is observed that against smaller Richardson number streamlines indicate forced convection flow while at higher Richardson number flow divert toward free convection regime. Additionally, heat transportation is maximum when magnetic field is applied in perpendicular direction as well as at maximum amplitude of wall undulations. The present study possesses the mathematical computational analysis for mixed convection nanofluid (CuO–water) flow in a lid‐driven parallelogram enclosure with corrugated walls. A partially heated source is located at the bottom corrugated wall. The remaining portions of upper and lower corrugated boundaries are adiabatic. The verticals walls are kept cold. The flow dynamic established with wall undulation and inclined Lorentz forces generate complex mathematical formulation via partial differential equations.…
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.202100268