Effectiveness of horizontal magnetic field in Darcy's flow of viscoelastic fluid over rotatory disk

• Published in: Chinese journal of physics (Taipei) Vol. 89; pp. 1309 - 1324
• Main Authors: Siddiq, M.K., Rauf, A., Farooq, A., Ali, I., Shehzad, S.A., Mushtaq, T.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2024
• Subjects: Horizontal magnetic field; Joule heating; Porous zone; Rotating disk; Viscous dissipation; Porous zone; Viscous dissipation; Rotating disk; Horizontal magnetic field; Joule heating
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2024.04.011

•Thermal transportation of viscoelastic fluid flow is modeled.•The flow is induced by the rotatory movement of an infinite permeable disk.•Horizontal magnetized field and Darcy's influences are considered and investigated.•The flow and thermal fields are discussed against obtained physical parameters.•Frictional torque and Nusselt number are evaluated at the disk surface. The present study aims to find the similarity solutions for the thermal transportation of viscoelastic fluid flow produced by the rotatory movement of infinite permeable disk. The resulting momentum equations involved comprising the horizontal magnetized field and Darcy's influences. The energy equation containing the impacts of Ohmic dissipation and frictional heating. The developed model is first normalized by using the von Kármán's substitutions and then the reduced system is solved numerically through Runge–Kutta–Fehlberg (RKF-45) method. The flow and thermal fields are discussed against the various physical parameters. Frictional torque and Nusselt number are also evaluated at the disk surface for selected values of dimensionless parameters. The stabilization influence of magnetic field is achieved along the radial or circumferential directions against the positive values of the inclination direction. For inclination angle near to α=0∘andα=π2, the magnetic field has stabilizing influence. Alternatively in the range of α∈[π3,π6], the magnetic field preserves destabilizing impact on flow phenomenon. The temperature field is enhanced against the increased values of Deborah number and Eckert number. Resistive torque is enhanced by the porosity parameter. [Display omitted]