Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect

This study aims to explore the consideration of boundary layer flow and heat transfer over a moving plate with the presence of the magneto-hydrodynamics at the surface in carbon nanotubes. The mathematical model for the boundary layer flow problem is obtained and solved using numerical techniques ba...

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Main Authors: N.S., Haswaniza, A.F.N., Rasedee, N., Bachok, T.J., Wong, M., Hasan
Format: Article
Language:English
Published: Lviv Polytechnic National University 2025
Online Access:http://psasir.upm.edu.my/id/eprint/118303/
http://psasir.upm.edu.my/id/eprint/118303/1/118303.pdf
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author N.S., Haswaniza
A.F.N., Rasedee
N., Bachok
T.J., Wong
M., Hasan
author_facet N.S., Haswaniza
A.F.N., Rasedee
N., Bachok
T.J., Wong
M., Hasan
author_sort N.S., Haswaniza
building UPM Institutional Repository
collection Online Access
description This study aims to explore the consideration of boundary layer flow and heat transfer over a moving plate with the presence of the magneto-hydrodynamics at the surface in carbon nanotubes. The mathematical model for the boundary layer flow problem is obtained and solved using numerical techniques based on Haar wavelet collocation. The types of nanoparticles used in this research were single-walled carbon nanotubes and multi-walled carbon nanotubes with water and kerosene that were used as base fluid. The partial differential equations are transformed into nonlinearly ordinary differential equations by similarity transformation. Maple software is used to work on these equations. The results were represented in the formation of graphs including velocity and temperature profile, skin friction coefficient and local Nusselt number for different values of magnetic field, CNTs volume friction and moving parameter. The outcomes obtained are that the moving plate gives non-unique solutions. In addition, the increments of magnetic field into the flow will increase value of skin friction coefficient and the heat transfer coefficient.
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format Article
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institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T14:41:31Z
publishDate 2025
publisher Lviv Polytechnic National University
recordtype eprints
repository_type Digital Repository
spelling upm-1183032025-08-04T04:02:57Z http://psasir.upm.edu.my/id/eprint/118303/ Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect N.S., Haswaniza A.F.N., Rasedee N., Bachok T.J., Wong M., Hasan This study aims to explore the consideration of boundary layer flow and heat transfer over a moving plate with the presence of the magneto-hydrodynamics at the surface in carbon nanotubes. The mathematical model for the boundary layer flow problem is obtained and solved using numerical techniques based on Haar wavelet collocation. The types of nanoparticles used in this research were single-walled carbon nanotubes and multi-walled carbon nanotubes with water and kerosene that were used as base fluid. The partial differential equations are transformed into nonlinearly ordinary differential equations by similarity transformation. Maple software is used to work on these equations. The results were represented in the formation of graphs including velocity and temperature profile, skin friction coefficient and local Nusselt number for different values of magnetic field, CNTs volume friction and moving parameter. The outcomes obtained are that the moving plate gives non-unique solutions. In addition, the increments of magnetic field into the flow will increase value of skin friction coefficient and the heat transfer coefficient. Lviv Polytechnic National University 2025 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/118303/1/118303.pdf N.S., Haswaniza and A.F.N., Rasedee and N., Bachok and T.J., Wong and M., Hasan (2025) Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect. Mathematical Modeling and Computing, 12 (1). pp. 57-66. ISSN 2312-9794; eISSN: 2415-3788 https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-12-number-1-2025/haar-wavelet-collocation-method-solving-boundary 10.23939/mmc2025.01.057
spellingShingle N.S., Haswaniza
A.F.N., Rasedee
N., Bachok
T.J., Wong
M., Hasan
Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect
title Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect
title_full Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect
title_fullStr Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect
title_full_unstemmed Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect
title_short Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect
title_sort haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with mhd effect
url http://psasir.upm.edu.my/id/eprint/118303/
http://psasir.upm.edu.my/id/eprint/118303/
http://psasir.upm.edu.my/id/eprint/118303/
http://psasir.upm.edu.my/id/eprint/118303/1/118303.pdf