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Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions

Author

Listed:
  • Syed Tauseef Saeed

    (Department of Science and Humanities, National University of Computer and Emerging Sciences, Lahore 54000, Pakistan)

  • Muhammad Bilal Riaz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland
    Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland)

  • Hijaz Ahmad

    (Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II 39, 00186 Roma, Italy)

Abstract

Dynamic analysis of magnetic fluids with the combined effect of heat sink and chemical reactions based on their physical properties demonstrates strong shock resistance capabilities, low-frequency response, low energy consumption, and high sensitivity. Therefore, the applied magnetic field always takes diamagnetic, ferromagnetic, and paramagnetic forms. The influence of radiation is considered in the temperature profile. This manuscript investigates an analytic solution of incompressible and magnetic Casson fluid in Darcy’s medium subjected to temperature and concentration dependence within a porous-surfaced plate with generalized boundary conditions. The substantial mathematical technique of the Laplace transform with inversion is invoked in the governing equations of the magnetic Casson fluid. The analytic results are transformed into a special function for the plate with a constant velocity, a plate with linear velocity, a plate with exponential velocity, and a plate with sinusoidal velocity. Graphical illustrations of the investigated analytic solutions at four different times are presented. Our results suggest that the velocity profile decreases by increasing the value of the magnetic field, which reflects the control of resistive force. The Nusselt number remains constant at a fixed Rd and is reduced by raising the Rd value.

Suggested Citation

  • Syed Tauseef Saeed & Muhammad Bilal Riaz & Jan Awrejcewicz & Hijaz Ahmad, 2021. "Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions," Energies, MDPI, vol. 14(19), pages 1-14, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:19:p:6243-:d:647845
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    References listed on IDEAS

    as
    1. Ciro Alberghi & Luigi Candido & Raffaella Testoni & Marco Utili & Massimo Zucchetti, 2021. "Verification and Validation of COMSOL Magnetohydrodynamic Models for Liquid Metal Breeding Blankets Technologies," Energies, MDPI, vol. 14(17), pages 1-16, August.
    2. Ernestos Sarris & Elias Gravanis, 2019. "Flow Regime Analysis of the Pressure Build-Up during CO 2 Injection in Saturated Porous Rock Formations," Energies, MDPI, vol. 12(15), pages 1-20, August.
    3. Lorenzo Melchiorri & Vincenzo Narcisi & Fabio Giannetti & Gianfranco Caruso & Alessandro Tassone, 2021. "Development of a RELAP5/MOD3.3 Module for MHD Pressure Drop Analysis in Liquid Metals Loops: Verification and Validation," Energies, MDPI, vol. 14(17), pages 1-29, September.
    4. Syed Tauseef Saeed & Ilyas Khan & Muhammad Bilal Riaz & Syed Muhammad Husnine & George Psihoyios, 2020. "Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators," Journal of Mathematics, Hindawi, vol. 2020, pages 1-14, December.
    5. Sardar Bilal & Afraz Hussain Majeed & Rashid Mahmood & Ilyas Khan & Asiful H. Seikh & El-Sayed M. Sherif, 2020. "Heat and Mass Transfer in Hydromagnetic Second-Grade Fluid Past a Porous Inclined Cylinder under the Effects of Thermal Dissipation, Diffusion and Radiative Heat Flux," Energies, MDPI, vol. 13(1), pages 1-17, January.
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