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Unsteady Heat Transfer and Entropy Generation Study on Viscoelastic Fluid Flow Coupled with Induced Magnetic Field

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Abstract

Unsteady heat transfer and entropy generation study on viscoelastic fluid coupled with the induced magnetic field over a stretching sheet using a numerical approach is presented in the current work. The induced magnetic field considered here is presumed to be formed with the movement of an electrically conducting fluid in the considered system. Viscoelastic fluid considered here is incompressible in nature and obeys the Maxwell model. The time-dependent partial differential equations of the considered model are modified into the non-linear ordinary differential equations with the use of appropriate similarity variables. The fourth-order Runge–Kutta method along with the shooting technique is adopted to obtain the solutions. The entropy generation analysis on the present two-dimensional geometry considering Maxwell fluid with the induced magnetic field over a stretching surface has also been carried out. Effect of unsteadiness parameter, Maxwell parameter, magnetic field parameter, and reciprocal magnetic field parameter is obtained. The velocity profile increases for the steady situation but for the unsteady case, the velocity distribution decelerated by magnetic parameter. The fluid velocity and induced magnetic distribution are decelerated monotonically with viscoelastic parameter but thermal boundary layer width accelerates for both steady and unsteady cases. Entropy generation is found to be increasing for group parameters such as Br/Ω and Re.

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Authors and Affiliations

  1. Department of Mathematics, VSSUT, Burla, 768018, India

    Lipika Panigrahi & Jayaprakash Panda

  2. Department of Mechanical Engineering, College of Engineering and Technology, Bhubaneswar, 751003, India

    Sudhansu S. Sahoo

Authors
  1. Lipika Panigrahi
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  2. Jayaprakash Panda
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  3. Sudhansu S. Sahoo
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Contributions

LP contributed to data curation, writing- Original draft preparation, Visualization. JP was involved in conceptualization, supervision. SSS Supervision contributed to investigation, writing- reviewing and editing.

Corresponding author

Correspondence to Sudhansu S. Sahoo.

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Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. The authors declare the following financial interests/personal relationships which may be considered as potential competing interests

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Panigrahi, L., Panda, J. & Sahoo, S.S. Unsteady Heat Transfer and Entropy Generation Study on Viscoelastic Fluid Flow Coupled with Induced Magnetic Field. Iran J Sci Technol Trans Sci 45, 1699–1710 (2021). https://doi.org/10.1007/s40995-021-01126-z

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  • DOI: https://doi.org/10.1007/s40995-021-01126-z

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