MHD Casson nanofluid boundary layer flow in presence of radiation and non-uniform heat source/sink

Bharatkumar K. Manvi; Shravankumar B. Kerur; Jagadish V Tawade; Juan J. Nieto; Sagar Ningonda Sankeshwari; Hijaz Ahmad; Vediyappan Govindan; Bharatkumar K. Manvi; Shravankumar B. Kerur; Jagadish V Tawade; Juan J. Nieto; Sagar Ningonda Sankeshwari; Hijaz Ahmad; Vediyappan Govindan

doi:10.3934/mmc.2023014

Mathematical Modelling and Control

2023, Volume 3, Issue 3: 152-167. doi: 10.3934/mmc.2023014

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MHD Casson nanofluid boundary layer flow in presence of radiation and non-uniform heat source/sink

1.
Department of Mechanical Engineering, Basavesvara Engineering College, Bagalkot-587102, Karnataka; bharat.k.manvi009@gmail.com, shravankerur@yahoo.com
2.
Department of Mathematics, Vishwakarma University, Kondhwa (BK), Pune-411048, Maharashtra; jagadish.tawade@vupune.ac.in
3.
Department of Mathematical Analysis, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain; juanjose.nieto.roig@usc.es
4.
School of Science, SVKM's NMIMS Deemed to be University, Navi Mumbai - 410 210, India; sagarsankeshwari1@gmail.com
5.
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy; ahmad.hijaz@uninettuno.it
6.
Near East University, Operational Research Center in Healthcare, Nicosia, PC: 99138, TRNC Mersin 10, Turkey
7.
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
8.
Department of Mathematics, Hindustan Institute of Technology and Science, Rajiv Gandhi Salai (OMR), Padur, Kelambakkam 603103, Tamil Nadu, India; govindoviya@gmail.com

Received: 21 February 2023 Revised: 14 April 2023 Accepted: 02 May 2023 Published: 21 July 2023

On stretched magnetic surfaces, we present a numerical study of Casson nanofluids moving through porous materials. The Casson liquid model explains how non-Newtonian liquids behave. Numerical techniques are utilized to solve the nonlinear partial differential equations produced by similarity transformations. Results are gathered for the Nusselt number, skin friction coefficient, temperature and velocity. The impacts of physical variables on the flow and heat transfer characteristics of nanofluids are depicted in graphs. They include the Prandtl number, magnetic parameter, radiation parameter, porosity parameter and Casson parameter. Findings indicate that as the Casson nanofluid parameters are increased, the temperature profile rises but the velocity field decreases. With increasing magnetic parameters alone, it is possible to see a decrease in the thickness of the pulse boundary layer and an increase in the thickness of the thermal boundary layer. All the results are depicted in graphical representations.
- MHD,
- Casson nanofluid parameter,
- stretching sheet, permeability/porous medium
Citation: Bharatkumar K. Manvi, Shravankumar B. Kerur, Jagadish V Tawade, Juan J. Nieto, Sagar Ningonda Sankeshwari, Hijaz Ahmad, Vediyappan Govindan. MHD Casson nanofluid boundary layer flow in presence of radiation and non-uniform heat source/sink[J]. Mathematical Modelling and Control, 2023, 3(3): 152-167. doi: 10.3934/mmc.2023014

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Abstract

On stretched magnetic surfaces, we present a numerical study of Casson nanofluids moving through porous materials. The Casson liquid model explains how non-Newtonian liquids behave. Numerical techniques are utilized to solve the nonlinear partial differential equations produced by similarity transformations. Results are gathered for the Nusselt number, skin friction coefficient, temperature and velocity. The impacts of physical variables on the flow and heat transfer characteristics of nanofluids are depicted in graphs. They include the Prandtl number, magnetic parameter, radiation parameter, porosity parameter and Casson parameter. Findings indicate that as the Casson nanofluid parameters are increased, the temperature profile rises but the velocity field decreases. With increasing magnetic parameters alone, it is possible to see a decrease in the thickness of the pulse boundary layer and an increase in the thickness of the thermal boundary layer. All the results are depicted in graphical representations.

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