https://doi.org/10.1140/epjp/s13360-024-05710-1
Regular Article
Bio-convection with activation energy effect on mixed convective flow of liquid over a slendering surface for the inclusion of Hall current and dissipative heat
1
Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to Be University, 751030, Bhubaneswar, Odisha, India
2
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O.Box 84428, 11671, Riyadh, Saudi Arabia
3
Centre for Data Science, Siksha ‘O’ Anusandhan Deemed to Be University, 751030, Bhubaneswar, Odisha, India
4
Department of Mathematics, Abdul Wali Khan University, 23200, Mardan, Khyber Pakhtunkhwa, Pakistan
Received:
19
August
2024
Accepted:
3
October
2024
Published online:
21
October
2024
The current investigation explores the bio-convection in a mixed convective flow of liquid over a slendering surface by incorporating several effects. The effects of activation energy, Hall current, and dissipative heat energies the heat transport phenomena. The proposed study under these circumstances has applications in biotechnology, chemical processing and thermal management systems where the fluid behaviour is essential. The research focuses on a three-dimensional flow of fluid accounting for both the momentum and thermal slip conditions. The designed flow phenomena for the flow, heat transfer, and solutal concentration along with bio-convection get transmuted into system of ordinary equations which arises the effect of non-dimensional parameters. Further, traditional numerical technique is adopted to handle these transmuted equations in association with the combined factors. In particular, shooting method is employed for the transformation of boundary value to initial value problem, and then, Runge–Kutta fourth-order technique with the help of MATLAB environment is used. The parametric behaviour is deployed with validation of the present result. However, the result reveals that the inclusion of Hall current significantly augments the fluid momentum enhancing the magnetization impact on the fluid flow. The activation energy effect is shown to influence the concentration distribution significantly.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
