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On the thermal performance during flow dynamics of viscoelastic fluid in a channel: Jaffrey–Hamel extension

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Abstract

An extended Jaffrey–Hamel problem with heat and mass transfer attributes of viscoelastic fluid over an isothermal porous conduit, where the flow is produced by injecting the fluid at the inlet of the convergent section, has been described. The homogeneous processes dictated by first-order kinetics take place in the adjacent fluid, whereas the heterogeneous reactions supplied by cubic autocatalytic dynamics are believed to take place on the channel wall. To simulate both inertial drag and bulk permeable drag of the porosity medium, a non-Darcy-drag force concept is used. Slow velocity leads to the disregarding of viscous dissipation. Thermal radiation and a heat source or sink work together to keep the temperature in equilibrium in the flow domain. The simulation-based numerical solutions for dimensionless temperature, velocity, and concentration have been derived by applying appropriate similarity transformations to the highly nonlinear momentum equation, thermal, and species concentration equations. A more secure velocity profile results from a longer strain retardation time and a shorter stress relaxation time, whereas both viscoelastic times have reverse consequences. The thermal distribution is quantitatively improved with an increase in the radiation parameter, suggesting a higher rate of heat transmission. Concentration drops as heterogeneous reaction parameters are amplified . With an increase in the porosity number, surface viscous drag becomes more intense. Divergent cross section shows a greater tendency for heat and mass transfer.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through a large group research project under Grant No. RGP2/290/44.

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Authors and Affiliations

  1. Department Mechanical Engineering, School of Material Sciences and Engineering, Georgia Institute of Technology, Atlanta, GA, 30318, USA

    Sohail Rehman & Sultan Alshehery

  2. Mechanical Engineering Department, College of Engineering, King Khalid University, Abha, Saudi Arabia

    Sultan Alqahtani

  3. Department of Mathematics & Statistics, The University of Haripur, Haripur, 22620, Pakistan

    Hashim

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Rehman, S., Alqahtani, S., Hashim et al. On the thermal performance during flow dynamics of viscoelastic fluid in a channel: Jaffrey–Hamel extension. Neural Comput & Applic 35, 21949–21965 (2023). https://doi.org/10.1007/s00521-023-08854-w

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