Impacts of Thermal Radiation and Viscous Dissipation on the Boundary Layer Flow of Ferrofluid Past a Non-Flat Stretching Sheet in a Permeable Medium: Darcy-Forchheimer’s Model

Sushil Prasad; Shilpa Sood; Shikha Chandel; Diksha Sharma

doi:10.17485/IJST/v17i11.3027

Article

Impacts of Thermal Radiation and Viscous Dissipation on the Boundary Layer Flow of Ferrofluid Past a Non-Flat Stretching Sheet in a Permeable Medium: Darcy-Forchheimer’s Model

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i11.3027

Year: 2024, Volume: 17, Issue: 11, Pages: 990-1002

Original Article

Impacts of Thermal Radiation and Viscous Dissipation on the Boundary Layer Flow of Ferrofluid Past a Non-Flat Stretching Sheet in a Permeable Medium: Darcy-Forchheimer’s Model

Sushil Prasad^1*, Shilpa Sood², Shikha Chandel³, Diksha Sharma³

¹Research Scholar, Mathematics & Statistics, Career Point University, Hamirpur, Himachal Pradesh, India
²Associate Professor, Mathematics & Statistics, Career Point University, Hamirpur, Himachal Pradesh, India
³Assistant Professor, Mathematics & Statistics, Career Point University, Hamirpur, Himachal Pradesh, India

*Corresponding Author
Email: [email protected]

Received Date:27 November 2023, Accepted Date:07 February 2024, Published Date:29 February 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: The current research explores the impacts of thermal radiation and viscous dissipation on MHD ferrofluid boundary layer flow past a non-flat stretching sheet in a permeable medium utilizing a Darcy-Forchheimer model. Methods: Magnetite nanoparticles ( ) disintegrate in base fluids using the Tiwari-Das model of nanofluids. The governing partial differential equations are transformed into nonlinear ordinary differential equations (ODEs) using the relevant similarity variables. These nonlinear ODEs are solved numerically using the bvp4c- technique in MATLAB software. The effects of pertinent parameters such as the magnetic parameter, porosity parameter, Forchheimer parameter, Prandtl number, Eckert number, and radiation parameter on velocity and temperature fields are plotted graphically. The influence of physical factors on Skin friction coefficient and local Nusselt number are computed and examined. Findings: An augmentation in values of porosity parameter ( ), magnetic field , and Forchheimer number ( ) reduce the momentum boundary layer thickness although increases the thermal boundary layer thickness. An increase in the fluid’s temperature is due to an increase either in the radiation parameter ( ) or in the Eckert number ( ). Escalation in Prandtl number ( ) lowers the compactness of the thermal boundary layer. Novelty: The current work focuses on the innovative investigation of the impact of heat radiation and viscous dissipation on the boundary layer flow of MHD ferrofluid via a stretched sheet with varying thickness and no research on the topic covered in this article has yet to be reported. The study also incorporates the use of the Darcy-Forchheimer model. Here, water ( ) is used as the base fluid, and magnetite ( ) is used as nanoparticles for the present study. The results coincide very well with previous published works that authenticate the validity of the current work.

Keywords: Ferrofluid, MHD, Stretching sheet with variable thickness, Thermal radiation, Viscous dissipation

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© 2024 Prasad et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)