Impacts of Non-Uniform Border Temperature Variations on Time-Dependent Nanofluid Free Convection within a Trapezium: Buongiorno’s Nanofluid Model

Cornelia Revnic, Mohammad Ghalambaz, Teodor Groşan, Mikhail Sheremet and Ioan Pop
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Cornelia Revnic: Faculty of Pharmacy, University of Medicine and Pharmacy, 400012 Cluj-Napoca, Romania
Mohammad Ghalambaz: Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
Teodor Groşan: Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
Mikhail Sheremet: Department of Theoretical Mechanics, Tomsk State University, 634050 Tomsk, Russia
Ioan Pop: Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

Energies, 2019, vol. 12, issue 8, 1-14

Abstract: The present study develops the influence of inclined border temperature variations on the isotherms, streamlines, and isoconcentrations for unsteady free convection in a trapezoidal region filled with the water-based nanofluid. The considered mathematical nanofluid approach was formulated based on the Buongiorno’s model. The set of governing partial differential equations formulated using non-dimensional primitive variables such as velocity, pressure, temperature, and nanoparticles concentration volume fraction was solved numerically using the finite element method for various magnitudes of control characteristics. It was revealed that control characteristics affected the liquid circulation and energy transport coefficients. The Nusselt number is a growing function of wave number, amplitude, and the Rayleigh number.

Keywords: natural convection; nanofluids; non-uniform wall temperature; numerical results (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
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