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An analysis of Bingham Fluid and Jeffrey Fluid Flow in a Horizontal Channel with Plug Flow and Heat Transfer

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Abstract

A mathematical model is constructed for MHD flow of Bingham fluid and Jeffrey fluid in a horizontal porous space with heat transfer effect. The dimensionless governing equations for this problem are solved analytically and expressions for velocity and temperature field are presented. Further, impacts of physical parameters on flow and heat transfer charcteristics has been studied and discussed graphically. It is found that increasing viscosity ratio enhances velocity and temperature field whereas thermal conductivity ratio gives the reverse effect. Increasing magnetic field parameter tends to suppress fluid velocity significantly whilst mixed behavior shown in temperature distribution. Velocity of the fluid increased considerably with increasing material parameter whereas the reverse trend can be noticed in temperature distribution. Further, it is observed that pressure gradient influenced significantly on velocity and temperature field. Increasing magnetic parameter reduces mass flow rate whereas it shows opposite trend in shearstress distribution.

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References

  1. M.V. Ramana Murthy, T. Gnana Prasuna, Y.V.K Ravi Kumar, J. Siva Kumar, S. Rajender, S. Sreenadh, Flow of Bingham fluid in contact with a Newtonian fluid, Atti della “Fondazione Giorgio Ronchi”, Anno LXII, 2007 - N. 4.

  2. Narahari, M., Sreenadh, S.: Peristaltic transport of a Bingham fluid in contact with a Newtonian fluid. Int. J. Appl. Math. Mech. 6, 41–54 (2010)

    Google Scholar 

  3. Chamkha, A.J.: Flow of Two Immiscible Fluid in Porous and Nonporous Channels. ASME J. Fluid Eng. 122, 117–124 (2000)

    Article  Google Scholar 

  4. Vajravelu, K., Sreenadh, S., Ramesh Babu, V.: Peristaltic Transport of a Herschel Bulkley fluid in Contact with a Newtonian fluid. Q. J. Appl. Math. 64, 593–604 (2006)

    Article  MathSciNet  Google Scholar 

  5. Ramana Murthy, J.V., Srinivas, J.: Second law analysis for Poiseuille flow of immiscible micropolar fluids in a channel. Int. J. Heat Mass Transf. 65, 254–264 (2013)

    Article  Google Scholar 

  6. Tripathi, D., Jhorar, R., Borode, A., Anwar Bég, O.: Three-layered electro-osmosis modulated blood flow through a microchannel. Eur. J. Mech. B/Fluids 72, 391–402 (2018)

    Article  MathSciNet  Google Scholar 

  7. Muthuraj, R., Srinivas, S., Shukla, A.K., Lourdu Immaculate D.: Non-Darcian and thermal radiation effects on Magneto- convection flow of Two-immiscible fluids with heat transfer, ISHMT Digital Library, IHMTC2017-13-0130 (2017) 2041–2049

  8. Abd Elmaboud, Y., Sara Abdelsalam, I., Mekheimer, K.S., Vafai, K.: Electromagnetic flow for two-layer immiscible fluids, Engineering Science and Technology. Int. J. 22, 237–248 (2019)

    Google Scholar 

  9. Ali, N., Hussain, S., Ullah, K.: Theoretical analysis of two-layered electro-osmotic peristaltic flow of FENE-P fluid in an axisymmetric tube. Phys. Fluids 32, 023105 (2020)

    Article  Google Scholar 

  10. Muthuraj, R., Srinivas, S.: Fully developed MHD flow of a micropolar and viscous fluids in a vertical porous space using HAM. Int J Appl Math Mech. 6, 55–78 (2010)

    Google Scholar 

  11. Srinivas, J., Ramana Murthy, J.V.: Thermodynamic analysis for the MHD flow of two immiscible micropolar fluids between two parallel plates. Front. Heat Mass Transf. 6, 1–11 (2015)

    Google Scholar 

  12. Petrović, J.D., Stamenkovi, Z.M., Koci, M.M., Nikodijevi, M.: Porous medium magnetohydrodynamic flow and Heat transfer of two immiscible fluids. Thermal Sci. 20, 1405–1417 (2016)

    Article  Google Scholar 

  13. Abbas, Z., Hasnain, J.: Two-phase magnetoconvection flow of magnetite (Fe3O4)nanoparticles in a horizontal composite porous annulus. Results Phys. 7, 574–580 (2017)

    Article  Google Scholar 

  14. Linga Raju, T.: MHD heat transfer two-ionized fluids flow between parallel plates with Hall currents. Results Eng. 4, 100043 (2019)

    Article  Google Scholar 

  15. Fadimba, K.B.: On existence and uniqueness for a coupled system modeling immiscible flow through a porous medium. J. Math. Anal. Appl. 328, 1034–1056 (2007)

    Article  MathSciNet  Google Scholar 

  16. Mozolevski, I., Schuh, L.: Numerical simulation of two-phase immiscible incompressible flows in heterogeneous porous media with capillary barriers. J. Comput. Appl Math. 242, 12–27 (2013)

    Article  MathSciNet  Google Scholar 

  17. Zhang, C., Zheng, L., Zhang, X., Chen, G.: MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction. Appl. Math. Model. 39, 165–181 (2015)

    Article  MathSciNet  Google Scholar 

  18. El-Amin, M.F., Saad, A.M., Sun, S., Salama, A.: Numerical simulation of magnetic nanoparticles injection into two–phase flow in a porous medium. Procedia Comput. Sci. 108C, 2260–2264 (2017)

    Article  Google Scholar 

  19. Agarwal, M., Kumar, D.: An unsteady flow of two immiscible viscous fluids in porous medium between two impermeable parallel plates, impulsively stopped from relatively motion. Int. J. Math Appl. 5, 103–114 (2017)

    Google Scholar 

  20. Muthuraj, R., Srinivas, S., Shukla, A.K., Lourdu Immaculate, D.: Effects of non-Darcian and temperature dependent heat source on two-phase flow in a vertical porous space with thermal radiation. Heat Transfer Asian Res 48, 5–23 (2019)

    Article  Google Scholar 

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Acknowledgements

The author is very much grateful to the anonymous referees for their constructive comments and suggestions.

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  1. Department of Mathematics, PSNA College of Engineering and Technology, Dindigul, 624622, India

    R. Muthuraj

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  1. R. Muthuraj
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Muthuraj, R. An analysis of Bingham Fluid and Jeffrey Fluid Flow in a Horizontal Channel with Plug Flow and Heat Transfer. Int. J. Appl. Comput. Math 7, 35 (2021). https://doi.org/10.1007/s40819-021-00966-y

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  • DOI: https://doi.org/10.1007/s40819-021-00966-y

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