Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach

Viscosity is the property of a fluid in which an internal frictional force (viscous force) produced by intermolecular forces becomes active when the fluid is in motion and opposes the relative motion of its different layers, just as surface tension is the property of a fluid at rest. When the...

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Main Authors: Nazri, Nurul Najihah, Manshoor, Bukhari, Zaman, Izzuddin, Didane, Djamal Hissein, Sayed Abdelaal, Muhammed Abdelfattah, Ibrahim, Mohd Nizam
Format: Article
Language:English
Published: FAZ Publishing 2022
Subjects:
Online Access:http://eprints.uthm.edu.my/7400/1/J14290_14bc16e4c0d973f62abfc3ab44eafcba.pdf
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author Nazri, Nurul Najihah
Manshoor, Bukhari
Zaman, Izzuddin
Didane, Djamal Hissein
Sayed Abdelaal, Muhammed Abdelfattah
Ibrahim, Mohd Nizam
author_facet Nazri, Nurul Najihah
Manshoor, Bukhari
Zaman, Izzuddin
Didane, Djamal Hissein
Sayed Abdelaal, Muhammed Abdelfattah
Ibrahim, Mohd Nizam
author_sort Nazri, Nurul Najihah
collection UTHM
description Viscosity is the property of a fluid in which an internal frictional force (viscous force) produced by intermolecular forces becomes active when the fluid is in motion and opposes the relative motion of its different layers, just as surface tension is the property of a fluid at rest. When the different layers of the fluid move at different speeds, this viscous force acts tangentially and causes a tangential (shearing) stress between the layers of the fluid in motion. In this paper, Laplace transforms approach is applied in obtaining the velocity distribution and the shear stress distribution of a unidirectional laminar flow between the stationary parallel plates as well as between the parallel plates having a relative motion by solving the differential equation describing flow characteristics of the viscous liquid via Laplace transform method. This paper shows how to use the Laplace transform to get the solution (velocity distribution and shear stress distribution) without having to find the general solution of a differential equation describing the flow characteristics equation of unidirectional laminar flow between parallel plates.
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spelling uthm.eprints-74002022-07-21T07:18:25Z http://eprints.uthm.edu.my/7400/ Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach Nazri, Nurul Najihah Manshoor, Bukhari Zaman, Izzuddin Didane, Djamal Hissein Sayed Abdelaal, Muhammed Abdelfattah Ibrahim, Mohd Nizam T Technology (General) Viscosity is the property of a fluid in which an internal frictional force (viscous force) produced by intermolecular forces becomes active when the fluid is in motion and opposes the relative motion of its different layers, just as surface tension is the property of a fluid at rest. When the different layers of the fluid move at different speeds, this viscous force acts tangentially and causes a tangential (shearing) stress between the layers of the fluid in motion. In this paper, Laplace transforms approach is applied in obtaining the velocity distribution and the shear stress distribution of a unidirectional laminar flow between the stationary parallel plates as well as between the parallel plates having a relative motion by solving the differential equation describing flow characteristics of the viscous liquid via Laplace transform method. This paper shows how to use the Laplace transform to get the solution (velocity distribution and shear stress distribution) without having to find the general solution of a differential equation describing the flow characteristics equation of unidirectional laminar flow between parallel plates. FAZ Publishing 2022 Article PeerReviewed text en http://eprints.uthm.edu.my/7400/1/J14290_14bc16e4c0d973f62abfc3ab44eafcba.pdf Nazri, Nurul Najihah and Manshoor, Bukhari and Zaman, Izzuddin and Didane, Djamal Hissein and Sayed Abdelaal, Muhammed Abdelfattah and Ibrahim, Mohd Nizam (2022) Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach. Journal of Complex Flow, 4 (1). pp. 19-23. ISSN 2672-7374
spellingShingle T Technology (General)
Nazri, Nurul Najihah
Manshoor, Bukhari
Zaman, Izzuddin
Didane, Djamal Hissein
Sayed Abdelaal, Muhammed Abdelfattah
Ibrahim, Mohd Nizam
Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach
title Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach
title_full Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach
title_fullStr Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach
title_full_unstemmed Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach
title_short Velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach
title_sort velocity and shear stress distribution of laminar flow between parallel plate by laplace transform approach
topic T Technology (General)
url http://eprints.uthm.edu.my/7400/1/J14290_14bc16e4c0d973f62abfc3ab44eafcba.pdf
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