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Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions

Author

Listed:
  • Humaira Yasmin

    (Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia)

  • Naveed Iqbal

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il 81481, Saudi Arabia)

  • Anum Tanveer

    (Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur 10250, AK, Pakistan)

Abstract

This article addresses the peristaltic flow in a compliant wall channel. Analysis has been carried out in the presence of a Hall current and chemical reaction. Convective conditions in terms of both heat and mass transfer are employed. Mathematical modeling is developed for an incompressible Carreau fluid. Thermal deposition effect and convection at the channel walls are considered. Series solutions are obtained for small Weissenberg number W e . Solution expressions of velocity, temperature, concentration and stream function are obtained. These physical quantities are displayed and analyzed. Heat transfer coefficient and trapping are explored in detail.

Suggested Citation

  • Humaira Yasmin & Naveed Iqbal & Anum Tanveer, 2020. "Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions," Mathematics, MDPI, vol. 8(10), pages 1-21, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1710-:d:423621
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    References listed on IDEAS

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    1. Hina, S. & Mustafa, M. & Hayat, T. & Alotaibi, Naif D., 2015. "On peristaltic motion of pseudoplastic fluid in a curved channel with heat/mass transfer and wall properties," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 378-391.
    2. Ravi P. Agarwal & Sadek Gala & Maria Alessandra Ragusa, 2020. "A Regularity Criterion in Weak Spaces to Boussinesq Equations," Mathematics, MDPI, vol. 8(6), pages 1-11, June.
    3. E. Abo-Eldahab & E. Barakat & Kh. Nowar, 2012. "Hall Currents and Heat Transfer Effects on Peristaltic Transport in a Vertical Asymmetric Channel through a Porous Medium," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-23, May.
    4. R. Ellahi & Arshad Riaz & S. Nadeem & M. Ali, 2012. "Peristaltic Flow of Carreau Fluid in a Rectangular Duct through a Porous Medium," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-24, August.
    5. Mehmood, Obaid Ullah & Qureshi, Ayesha Aleem & Yasmin, Humaira & Uddin, Salah, 2020. "Thermo-mechanical analysis of non Newtonian peristaltic mechanism: Modified heat flux model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
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    Cited by:

    1. Michael R. Booty, 2023. "Preface to the Special Issue on “Computational Mechanics in Engineering Mathematics”," Mathematics, MDPI, vol. 11(3), pages 1-3, February.
    2. Lorenzo Damiani & Roberto Revetria & Pietro Giribone, 2022. "A Dynamic Simulation Model for a Heat Exchanger Malfunction Monitoring," Energies, MDPI, vol. 15(5), pages 1-20, March.

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