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MHD Mixed Convection of Non-Newtonian Bingham Nanofluid in a Wavy Enclosure with Temperature-Dependent Thermophysical Properties: A Sensitivity Analysis by Response Surface Methodology

Author

Listed:
  • Amzad Hossain

    (Department of Mathematics & Physics, North South University, Dhaka 1229, Bangladesh)

  • Md. Mamun Molla

    (Department of Mathematics & Physics, North South University, Dhaka 1229, Bangladesh
    Center for Applied and Computational Sciences (CACS), North South University, Dhaka 1229, Bangladesh)

  • Md. Kamrujjaman

    (Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh)

  • Muhammad Mohebujjaman

    (Department of Mathematics and Physics, Texas A & M International University, Laredo, TX 78041, USA)

  • Suvash C. Saha

    (School of Mechanical and Mechatronic Engineering, University of Technology Sydney, Sydney, NSW 2007, Australia)

Abstract

The numerical investigation of magneto-hydrodynamic (MHD) mixed convection flow and entropy formation of non-Newtonian Bingham fluid in a lid-driven wavy square cavity filled with nanofluid was investigated by the finite volume method (FVM). The numerical data-based temperature and nanoparticle size-dependent correlations for the Al 2 O 3 -water nanofluids are used here. The physical model is a two-dimensional wavy square cavity with thermally adiabatic horizontal boundaries, while the right and left vertical walls maintain a temperature of T C and T H , respectively. The top wall has a steady speed of u = u 0 . Pertinent non-dimensional parameters such as Reynolds number ( R e = 10 , 100 , 200 , 400 ), Hartmann number ( H a = 0 , 10 , 20 ), Bingham number ( B n = 0 , 2 , 5 , 10 , 50 , 100 , 200 ), nanoparticle volume fraction ( ϕ = 0 , 0.02 , 0.04 ), and Prandtl number ( P r = 6.2 ) have been simulated numerically. The Richardson number R i is calculated by combining the values of R e with a fixed value of G r , which is the governing factor for the mixed convective flow. Using the Response Surface Methodology (RSM) method, the correlation equations are obtained using the input parameters for the average Nusselt number ( N u ¯ ), total entropy generation ( E s ) t , and Bejan number ( B e a v g ). The interactive effects of the pertinent parameters on the heat transfer rate are presented by plotting the response surfaces and the contours obtained from the RSM. The sensitivity of the output response to the input parameters is also tested. According to the findings, the mean Nusselt numbers ( N u ¯ ) drop when H a and B n are increased and grow when R e and ϕ are augmented. It is found that ( E s ) t is reduced by raising H a , but ( E s ) t rises with the augmentation of ϕ and R e . It is also found that the ϕ and R e numbers have a positive sensitivity to the N u ¯ , while the sensitivity of the H a and B n numbers is negative.

Suggested Citation

  • Amzad Hossain & Md. Mamun Molla & Md. Kamrujjaman & Muhammad Mohebujjaman & Suvash C. Saha, 2023. "MHD Mixed Convection of Non-Newtonian Bingham Nanofluid in a Wavy Enclosure with Temperature-Dependent Thermophysical Properties: A Sensitivity Analysis by Response Surface Methodology," Energies, MDPI, vol. 16(11), pages 1-39, May.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:11:p:4408-:d:1159495
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    References listed on IDEAS

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    1. R. Mahmood & N. Kousar & M. Yaqub & K. Jabeen, 2017. "Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-10, March.
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    3. Evgenii S. Baranovskii, 2017. "On Flows of Bingham-Type Fluids with Threshold Slippage," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-6, December.
    4. Rashidi, S. & Bovand, M. & Abolfazli Esfahani, J., 2015. "Structural optimization of nanofluid flow around an equilateral triangular obstacle," Energy, Elsevier, vol. 88(C), pages 385-398.
    5. Sheremet, M.A. & Pop, I., 2015. "Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno's mathematical model," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 792-808.
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