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Investigation of Heat Transfer and Pressure Distribution in Power Law Fluids Flowing through a Rectangular Channel Blocked by a Single Heated Circular Cylinder at Inlet

Author

Listed:
  • S.H. Elhag
  • Abid A. Memon
  • Bilawal A. Bhayo
  • Kaleemullah Bhatti
  • M. Asif Memon
  • Kavikumar Jacob
  • Fatimah S. Bayones
  • Jamel Seidu

Abstract

In this paper, the flow of a power law fluid has been investigated for Newtonian and non‐Newtonian fluids with the temperature distribution in a rectangular channel containing a heated circular cylinder near the inlet with different blockage ratios. The generalized non‐Newtonian power law model coupled with the energy equation is solved numerically, considering power law index in the range of 0.8 ≤ n ≤ 1.2 and Reynolds number in the range from 1000 to 10000. A heated circular cylinder is fixed near the inlet of the channel with blockage ratios (from radius to the height of the channel) of 1 : 10, 2 : 10, and 3 : 10 The governing partial differential equations coupled with energy equation are discretized to investigate the simulation of the current problem with finite element‐based software of COMSOL Multiphysics 5.4. The results are shown with the help of surface plots, tables, and graphs. The computational results for maximum and minimum pressure around the cylinder, temperature along the center line of the cylinder, and local Nusselt number are specially discussed in detail.

Suggested Citation

  • S.H. Elhag & Abid A. Memon & Bilawal A. Bhayo & Kaleemullah Bhatti & M. Asif Memon & Kavikumar Jacob & Fatimah S. Bayones & Jamel Seidu, 2022. "Investigation of Heat Transfer and Pressure Distribution in Power Law Fluids Flowing through a Rectangular Channel Blocked by a Single Heated Circular Cylinder at Inlet," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:3374763
    DOI: 10.1155/2022/3374763
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    References listed on IDEAS

    as
    1. Khan, Kashif Ali & Seadawy, Aly R. & Raza, Nauman, 2022. "The homotopy simulation of MHD time dependent three dimensional shear thinning fluid flow over a stretching plate," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Abid A. Memon & M. Asif Memon & Aisha M. Alqahtani & Kaleemullah Bhatti & Kamsing Nonlaopon & Ilyas Khan & Mulugeta Andualem & Melike Kaplan, 2021. "Finite Element Analysis of Air Flow and Temperature Distribution on Surface of a Circular Obstacle with Resistance and Orientation of Screen," Journal of Mathematics, Hindawi, vol. 2021, pages 1-12, November.
    3. Ilyas Khan & Abid A. Memon & M. Asif Memon & Kaleemullah Bhatti & Gul M. Shaikh & Dumitru Baleanu & Ziyad A. Alhussain & Hijaz Ahmad, 2020. "Finite Element Least Square Technique for Newtonian Fluid Flow through a Semicircular Cylinder of Recirculating Region via COMSOL Multiphysics," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, November.
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