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Dynamics of melting heat transfer in thermally developed and chemically reactive flow of Eyring- Powell liquid through a curved channel

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Abstract

The present article concentrates on the consequences of melting heat transfer on the chemically reactive flow of Eyring-Powell liquid flow via a semi-permeable curved channel in presence of applied magnetic field. The impacts of two types of chemical reaction namely, homogeneous and heterogeneous are considered in the concentration equation. In addition, the characteristics of heat transport phenomena is also examined with the application of thermal radiation. By adopting a scheme of curvilinear coordinates system along with some appropriate similarity conversions a nonlinear ordinary differential equations is attained. The numerical simulation of the determined velocity and transport equations are estimated by using the shooting procedure. The influence of pertinent factors on the flow equations, surface drag force and rate of heat transport are thoroughly discussed via graphs and table. It is noted from the current study that surface drag force and concentration of the liquid are rises with a rising value of the melting parameter, while fluid velocity and its temperature decreases.

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References

  1. Berman, A.S.: Laminar flow in channels with porous walls. J. Appl. Phys. 24(9), 1232–1235 (1953)

    Article  MathSciNet  MATH  Google Scholar 

  2. Raftari, B., Parvaneh, F., Vajravelu, K.: Homotopy analysis of the magnetohydrodynamic flow and heat transfer of a second grade fluid in a porous channel. Energy 59, 625–632 (2013)

    Article  Google Scholar 

  3. Ali, N., Khan, S.U., Sajid, M., Abbas, Z.: Flow and heat transfer of hydromagnetic Oldroyd-B fluid in a channel with stretching walls. Nonlinear Eng. 5(2), 73–79 (2016)

    Google Scholar 

  4. Riaz, A., Sadiq, M.A.: Particle–fluid suspension of a non-Newtonian fluid through a curved passage: an application of urinary tract infections. Front. Phys. 8, 109 (2020)

    Article  Google Scholar 

  5. Abbas, Z., Naveed, M., Naeem, M., Zia, Q.M.Z.: Analytical investigation of a Maxwell fluid flow with radiation in an axisymmetric semi-porous channel by parameterized perturbation method. J. Braz. Soc. Mech. Sci. Eng. 40(2), 65 (2018)

    Article  Google Scholar 

  6. Ahmed, R., Ali, N., Khan, S.U., Rashad, A.M., Nabwey, H.A., Tlili, I.: Novel microstructural features on heat and mass transfer in peristaltic flow through a curved channel. Front. Phys. 8, 178 (2020)

    Article  Google Scholar 

  7. Magesh, A., Kothandapani, M.: Heat and mass transfer analysis on non-Newtonian fluid motion driven by peristaltic pumping in an asymmetric curved channel. Eur. Phys. J. Special Topics (2021): 1–18.

  8. Khan, S.U., Ali, N., Sajid, M., Hayat, T.: Heat transfer characteristics in oscillatory hydromagnetic channel flow of Maxwell fluid using Cattaneo-Christov model. Proc. Natl. Acad. Sci., India, Sect. A 89(2), 377–385 (2019)

    Article  MathSciNet  Google Scholar 

  9. Aleem, M., Asjad, M.I., Ahmadian, A., Salimi, M., Ferrara, M.: Heat transfer analysis of channel flow of MHD Jeffrey fluid subject to generalized boundary conditions. Eur. Phys. J. Plus 135(1), 1–15 (2020)

    Article  Google Scholar 

  10. Khuri, S.A.: Stokes flow in curved channels. J. Comput. Appl. Math. 187(2), 171–191 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  11. Abbas, Z., Naveed, M., Sajid, M.: Nonlinear radiative heat transfer and Hall effects on a viscous fluid in a semi-porous curved channel. AIP Adv. 5(10), 107124 (2015)

    Article  Google Scholar 

  12. M. Naveed, Z. Abbas, M. Sajid, Flow and heat transfer in a semi-porous curved channel with radiation and porosity effects. J Porous Media 19(5) (2016)

  13. Sajid, M., Iqbal, S.A., Naveed, M., Abbas, Z.: Joule heating and magnetohydrodynamic effects on ferrofluid (Fe3O4) flow in a semi-porous curved channel. J. Mol. Liq. 222, 1115–1120 (2016)

    Article  Google Scholar 

  14. Javed, T., Ali, N., Abbas, Z., Sajid, M.: Flow of an Eyring-Powell non-Newtonian fluid over a stretching sheet. Chem. Eng. Commun. 200(3), 327–336 (2013)

    Article  Google Scholar 

  15. Sajid, Q., Hayat, T., Shehzad, S.A., Alsaedi, A.: Nonlinear convective flow of Powell-Erying magneto nanofluid with Newtonian heating. Result. Phys. 7, 2933–2940 (2017)

    Article  Google Scholar 

  16. Hina, S., Mustafa, M., Hayat, T., Alsaedi, A.: Peristaltic transport of Powell-Eyring fluid in a curved channel with heat/mass transfer and wall properties. Int. J. Heat Mass Transf. 101, 156–165 (2016)

    Article  Google Scholar 

  17. Farooq, S., Hayat, T., Ahmad, B., Alsaedi, A.: MHD flow of Eyring-Powell liquid in convectively curved configuration. J. Braz. Soc. Mech. Sci. Eng. 40(3), 159 (2018)

    Article  Google Scholar 

  18. Abbas, Z., Rafiq, M., Naveed, M.: Analysis of Eyring-Powell liquid flow in curved channel with Cattaneo-Christov heat flux model. J. Braz. Soc. Mech. Sci. Eng. 40(8), 390 (2018)

    Article  Google Scholar 

  19. Ojjela, O., Raju, A., Naresh-Kumar, N.: Influence of induced magnetic field and radiation on free convective Jeffery fluid flow between two parallel porous plates with Soret and Dufour effects. J. Mech. 35(5), 657–675 (2019)

    Article  Google Scholar 

  20. Abbas, Z., Imran, M., Naveed, M.: Hydromagnetic flow of Carreau fluid in a curved channel with non-linear thermal radiation. Therm. Sci. 23(6A), 3379–3390 (2019)

    Article  Google Scholar 

  21. Zaidi, H.N., Yousif, M., Nasreen, S.N.: Effects of thermal radiation, heat generation, and induced magnetic field on hydromagnetic free convection flow of couple stress fluid in an isoflux-isothermal vertical channel. J. Appl. Math. 2020, 1–12 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  22. Poddar, S., Minarul Islam, M., Ferdouse, J., Alam, M.M.: Characteristical analysis of MHD transfer dissipative and radiating fluid flow with magnetic field induction and suction. SN Appl. Sci. 3, 470 (2021)

    Article  Google Scholar 

  23. Farooq, M., Javed, M., Khan, M.I., Anjum, A., Hayat, T.: Melting heat transfer and double stratification in stagnation flow of viscous nanofluid. Result. Phys. 7, 2296–2301 (2017)

    Article  Google Scholar 

  24. Hayat, T., Farooq, M., Alsaedi, A.: Characteristics of homogeneous-heterogeneous reactions and melting heat transfer in the stagnation point flow of Jeffrey fluid. J. Appl. Fluid Mech. 9(2), 809–816 (2016)

    Article  Google Scholar 

  25. Khan, W.A., Khan, M., Irfan, M., Alshomrani, A.S.: Impact of melting heat transfer and nonlinear radiative heat flux mechanisms for the generalized Burgers fluids. Result. Phys. 7, 4025–4032 (2017)

    Article  Google Scholar 

  26. Qayyum, S., Khan, R., Habib, H.: Simultaneous effects of melting heat transfer and inclined magnetic field flow of tangent hyperbolic fluid over a nonlinear stretching surface with homogeneous–heterogeneous reactions. Int. J. Mech. Sci. 133, 1–10 (2017)

    Article  Google Scholar 

  27. Imtiaz, M., Hayat, T., Alsaedi, A.: MHD convective flow of Jeffrey fluid due to a curved stretching surface with homogeneous-heterogeneous reactions. PLoS ONE 11(9), e0161641 (2016)

    Article  Google Scholar 

  28. Tanveer, A., Hayat, T., Alsaedi, A., Ahmad, B.: Mixed convective peristaltic flow of Sisko fluid in curved channel with homogeneous-heterogeneous reaction effects. J. Mol. Liq. 233, 131–138 (2017)

    Article  Google Scholar 

  29. Sheikh, M., Abbas, Z.: Homogeneous–heterogeneous reactions in stagnation point flow of Casson fluid due to a stretching/shrinking sheet with uniform suction and slip effects. Ain Shams Eng. J. 8(3), 467–474 (2017)

    Article  Google Scholar 

  30. Hayat, T., Ayub, S., Alsaedi, A.: Homogeneous-heterogeneous reactions in curved channel with porous medium. Result. Phys. 9, 1455–1461 (2018)

    Article  Google Scholar 

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We are grateful to the respected reviewers for their positive comments and constructive ideas for improving the manuscript’s quality.

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Correspondence to M. Imran or Z. Abbas.

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Naveed, M., Imran, M., Akhtar, S. et al. Dynamics of melting heat transfer in thermally developed and chemically reactive flow of Eyring- Powell liquid through a curved channel. Ricerche mat 72, 299–316 (2023). https://doi.org/10.1007/s11587-021-00657-2

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  • DOI: https://doi.org/10.1007/s11587-021-00657-2

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