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Unsteady Magnetohydrodynamic Convective Fluid Flow of Oldroyd-B Model Considering Ramped Wall Temperature and Ramped Wall Velocity

Author

Listed:
  • Mazhar Hussain Tiwana

    (Department of Mathematics, Government Postgraduate Gordon College, Rawalpindi 46000, Pakistan)

  • Amer Bilal Mann

    (Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Near Zero Point, G-7/1, Islamabad 44000, Pakistan)

  • Muhammad Rizwan

    (Department of General Studies, Jubail Industrial College, Al Jubail 35718, Saudi Arabia)

  • Khadija Maqbool

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Shumaila Javeed

    (Department of Mathematics, COMSATS University Islamabad, Park Road Chak Shahzad, Islamabad 44000, Pakistan)

  • Saqlain Raza

    (Department of Mathematics, COMSATS University Islamabad, Park Road Chak Shahzad, Islamabad 44000, Pakistan)

  • Mansoor Shaukat Khan

    (Department of Mathematics, COMSATS University Islamabad, Park Road Chak Shahzad, Islamabad 44000, Pakistan)

Abstract

This paper examines unsteady magnetohydrodynamic (MHD) convective fluid flow described by the Oldroyd-B model using ramped wall temperature and velocity simultaneously. The fluid flow is closed to an infinite vertical flat plate immersed through a porous medium. Laplace transformation is used to find solutions of momentum and energy equations. Afterwards, the Nusselt number and skin friction coefficient are obtained. A parametric study is performed to investigate the effects of ramped velocity and temperature (at wall) on the considered fluid flow model.

Suggested Citation

  • Mazhar Hussain Tiwana & Amer Bilal Mann & Muhammad Rizwan & Khadija Maqbool & Shumaila Javeed & Saqlain Raza & Mansoor Shaukat Khan, 2019. "Unsteady Magnetohydrodynamic Convective Fluid Flow of Oldroyd-B Model Considering Ramped Wall Temperature and Ramped Wall Velocity," Mathematics, MDPI, vol. 7(8), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:676-:d:252737
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    References listed on IDEAS

    as
    1. Arshad Khan & Ilyas Khan & Farhad Ali & Sharidan Shafie, 2014. "Effects of Wall Shear Stress on MHD Conjugate Flow over an Inclined Plate in a Porous Medium with Ramped Wall Temperature," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-15, April.
    2. Kundu, Balaram, 2016. "Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 204-216.
    3. Nor Athirah Mohd Zin & Ilyas Khan & Sharidan Shafie, 2016. "Influence of Thermal Radiation on Unsteady MHD Free Convection Flow of Jeffrey Fluid over a Vertical Plate with Ramped Wall Temperature," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-12, February.
    Full references (including those not matched with items on IDEAS)

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