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: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
FAZ Publishing
2022
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/7400/1/J14290_14bc16e4c0d973f62abfc3ab44eafcba.pdf http://eprints.uthm.edu.my/7400/ |
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| Institution: | Universiti Tun Hussein Onn Malaysia |
| Language: | English |
| Summary: | 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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