Casson fluid is a shear thinning liquid assumed to have an infinite viscosity at zero rate of shear and a zero viscosity at an infinite rate of shear. Casson fluids at times flow past wedge-shaped objects, as is the case in crude oil extraction and geothermal systems. Nanoparticles tend to improve thermal conductivity of base fluids. The impact of Magnetohydromagnetics (MHD) and induced magnetic field on heat and mass transfer flow finds application in engineering and industries. It plays an important role in design of transpiration cooling and aerodynamics extrusion of plastic sheets. Several authors have studied effects of induced magnetic field on different types of fluid flow. However, little has been studied on the impact of induced magnetic field on Casson Nanofluid flow past a wedge. In this study, the equations governing the nanofluid flow were reduced to a system of highly nonlinear ordinary differential equations by using boundary layer theory. The resulting boundary value problem is then numerically solved in MATLAB by using the Boundary Value Problem 4th-order collocation (BVP4C). The local skin friction, mass transfer rate, and heat transfer rate are displayed in a table while graphs illustrate the influences of pertinent physical entities on the temperature, nanofluid velocity, concentration of nanoparticles and magnetic induction. The study’s findings will improve the body of knowledge on Casson Nanofluid flow past a wedge, which is important for plasma, fossil fuels, blood flow in the circulatory system, glass fibre manufacture, petroleum production, and magma dynamics. Due to their low thermal conductivity, electrically conducting Casson fluids have rather poor heat transfer; however, thermal conductivity is improved when nanoparticles are introduced and induced magnetic fields are considered significant. As a result, manufacturers can create solutions using the findings of this study. The issues surrounding induced magnetic fields are significant in several industrial applications, including geothermal systems, liquid metals, fibre or granular insulation, electrolytes, and ionised gases.
| Published in | American Journal of Applied Mathematics (Volume 13, Issue 1) |
| DOI | 10.11648/j.ajam.20251301.13 |
| Page(s) | 30-56 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Casson Fluid, Nanofluid, Hydromagnetic, Induced Magnetic Field, Nanoparticle
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APA Style
Danson, N., Jimrise, O., Jacob, K., Mark, O. (2025). Hydromagnetic Casson Nanofluid Flow Past a Wedge in a Porous Medium in the Presence of Induced Magnetic Field. American Journal of Applied Mathematics, 13(1), 30-56. https://doi.org/10.11648/j.ajam.20251301.13
ACS Style
Danson, N.; Jimrise, O.; Jacob, K.; Mark, O. Hydromagnetic Casson Nanofluid Flow Past a Wedge in a Porous Medium in the Presence of Induced Magnetic Field. Am. J. Appl. Math. 2025, 13(1), 30-56. doi: 10.11648/j.ajam.20251301.13
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Download@article{10.11648/j.ajam.20251301.13,
author = {Nyaga Danson and Ochwach Jimrise and Kirimi Jacob and Okongo Mark},
title = {Hydromagnetic Casson Nanofluid Flow Past a Wedge in a Porous Medium in the Presence of Induced Magnetic Field},
journal = {American Journal of Applied Mathematics},
volume = {13},
number = {1},
pages = {30-56},
doi = {10.11648/j.ajam.20251301.13},
url = {https://doi.org/10.11648/j.ajam.20251301.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20251301.13},
abstract = {Casson fluid is a shear thinning liquid assumed to have an infinite viscosity at zero rate of shear and a zero viscosity at an infinite rate of shear. Casson fluids at times flow past wedge-shaped objects, as is the case in crude oil extraction and geothermal systems. Nanoparticles tend to improve thermal conductivity of base fluids. The impact of Magnetohydromagnetics (MHD) and induced magnetic field on heat and mass transfer flow finds application in engineering and industries. It plays an important role in design of transpiration cooling and aerodynamics extrusion of plastic sheets. Several authors have studied effects of induced magnetic field on different types of fluid flow. However, little has been studied on the impact of induced magnetic field on Casson Nanofluid flow past a wedge. In this study, the equations governing the nanofluid flow were reduced to a system of highly nonlinear ordinary differential equations by using boundary layer theory. The resulting boundary value problem is then numerically solved in MATLAB by using the Boundary Value Problem 4th-order collocation (BVP4C). The local skin friction, mass transfer rate, and heat transfer rate are displayed in a table while graphs illustrate the influences of pertinent physical entities on the temperature, nanofluid velocity, concentration of nanoparticles and magnetic induction. The study’s findings will improve the body of knowledge on Casson Nanofluid flow past a wedge, which is important for plasma, fossil fuels, blood flow in the circulatory system, glass fibre manufacture, petroleum production, and magma dynamics. Due to their low thermal conductivity, electrically conducting Casson fluids have rather poor heat transfer; however, thermal conductivity is improved when nanoparticles are introduced and induced magnetic fields are considered significant. As a result, manufacturers can create solutions using the findings of this study. The issues surrounding induced magnetic fields are significant in several industrial applications, including geothermal systems, liquid metals, fibre or granular insulation, electrolytes, and ionised gases.},
year = {2025}
}
TY - JOUR T1 - Hydromagnetic Casson Nanofluid Flow Past a Wedge in a Porous Medium in the Presence of Induced Magnetic Field AU - Nyaga Danson AU - Ochwach Jimrise AU - Kirimi Jacob AU - Okongo Mark Y1 - 2025/01/20 PY - 2025 N1 - https://doi.org/10.11648/j.ajam.20251301.13 DO - 10.11648/j.ajam.20251301.13 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 30 EP - 56 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20251301.13 AB - Casson fluid is a shear thinning liquid assumed to have an infinite viscosity at zero rate of shear and a zero viscosity at an infinite rate of shear. Casson fluids at times flow past wedge-shaped objects, as is the case in crude oil extraction and geothermal systems. Nanoparticles tend to improve thermal conductivity of base fluids. The impact of Magnetohydromagnetics (MHD) and induced magnetic field on heat and mass transfer flow finds application in engineering and industries. It plays an important role in design of transpiration cooling and aerodynamics extrusion of plastic sheets. Several authors have studied effects of induced magnetic field on different types of fluid flow. However, little has been studied on the impact of induced magnetic field on Casson Nanofluid flow past a wedge. In this study, the equations governing the nanofluid flow were reduced to a system of highly nonlinear ordinary differential equations by using boundary layer theory. The resulting boundary value problem is then numerically solved in MATLAB by using the Boundary Value Problem 4th-order collocation (BVP4C). The local skin friction, mass transfer rate, and heat transfer rate are displayed in a table while graphs illustrate the influences of pertinent physical entities on the temperature, nanofluid velocity, concentration of nanoparticles and magnetic induction. The study’s findings will improve the body of knowledge on Casson Nanofluid flow past a wedge, which is important for plasma, fossil fuels, blood flow in the circulatory system, glass fibre manufacture, petroleum production, and magma dynamics. Due to their low thermal conductivity, electrically conducting Casson fluids have rather poor heat transfer; however, thermal conductivity is improved when nanoparticles are introduced and induced magnetic fields are considered significant. As a result, manufacturers can create solutions using the findings of this study. The issues surrounding induced magnetic fields are significant in several industrial applications, including geothermal systems, liquid metals, fibre or granular insulation, electrolytes, and ionised gases. VL - 13 IS - 1 ER -
Department of Physical Science, Faculty of Science and Technology, Chuka University, Chuka, Kenya
Department of Physical Science, Faculty of Science and Technology, Chuka University, Chuka, Kenya; Department of Computing and Information Technology, School of Pure and Applied Sciences, Mama Ngina University College, Gatundu, Kenya
Department of Physical Science, Faculty of Science and Technology, Chuka University, Chuka, Kenya
Department of Physical Science, Faculty of Science and Technology, Chuka University, Chuka, Kenya
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