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Impacts of non-linear radiation and activation energy on the axisymmetric rotating flow of Oldroyd-B fluid

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  • Khan, Masood
  • Hafeez, Abdul
  • Ahmed, Jawad

Abstract

This investigation focuses on the heat and mass transportation of an Oldroyd-B fluid flow controlled by vertically applied magnetic flux over a rotating disk configuration. Two main phenomena such as rotation and stretching of disk are responsible for flow over the disk surface. Some stimulating properties like nonlinear radiations, heat absorption/generation and Arrhenius chemical reaction with activation energy are studied on the energy and mass species fields. The number of independent variables are reduced through von Karman similarity approach. The numerical integration is performed through BVP Midrich scheme on Maple for the governing non-linear ordinary differential equations. Significant consequences for dynamic physical constraints are prepared for the velocity, temperature and concentration profiles. Results reveal that the Deborah number in term of retardation time plays a vibrant role in reducing heat and mass transfer rates. Further, the occurrence of radiative heat flux enhances the thermal profile efficiently. Moreover, concentration field of Oldroyd-B fluid is detected to be an increasing function of activation energy parameter.

Suggested Citation

  • Khan, Masood & Hafeez, Abdul & Ahmed, Jawad, 2021. "Impacts of non-linear radiation and activation energy on the axisymmetric rotating flow of Oldroyd-B fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    • Handle: RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437119322575
    DOI: 10.1016/j.physa.2019.124085
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    References listed on IDEAS

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    1. Farooq, Asma & Ali, Ramzan & Benim, Ali Cemal, 2018. "Soret and Dufour effects on three dimensional Oldroyd-B fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 345-354.
    2. Safaei, Mohammad Reza & Karimipour, Arash & Abdollahi, Ali & Nguyen, Truong Khang, 2018. "The investigation of thermal radiation and free convection heat transfer mechanisms of nanofluid inside a shallow cavity by lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 515-535.
    3. Rehman, Khalil Ur & Malik, M.Y., 2019. "On Lie symmetry mechanics for Navier–Stokes equations unified with non-Newtonian fluid model: A classical directory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
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