Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
This thesis is regarding the development of mathematical models and analytical techniques for non-Newtonian fluids of differential types on a vertical plate, horizontal channel, vertical channel, capillary tube and horizontal cylinder. For a vertical plate, a mathematical model of the unsteady fl...
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2015
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my-uthm-ep.15742021-10-03T08:02:30Z Analytical approach to unidirectional flow of non-Newtonian fluids of differential type 2015-07 Abdulhameed, Mohammed QC170-197 Atomic physics. Constitution and properties of matter. Including molecular physics, relativity, quantum theory, and solid state physics This thesis is regarding the development of mathematical models and analytical techniques for non-Newtonian fluids of differential types on a vertical plate, horizontal channel, vertical channel, capillary tube and horizontal cylinder. For a vertical plate, a mathematical model of the unsteady flow of second-grade fluid generated by an oscillating wall with transpiration, and the problem of magnetohydrodynamic (MHD) flow of third-grade fluid in a porous medium, have been developed. General solutions for the second-grade fluid are derived using Laplace transform, perturbation and variable separation techniques, while for the third-grade fluid are derived using symmetry reduction and new modified homotopy perturbation method (HPM). For a horizontal channel, a new analytical algorithm to solve transient flow of third-grade fluid generated by an oscillating upper wall has been proposed. A new approach of the optimal homotopy asymptotic method (OHAM) have been proposed to solve steady mixed convection flows of fourth-grade fluid in a vertical channel. The accuracy of the approximate solution is achieved through the residual function. For a capillary tube, two flow problems of the second-grade fluid were developed. Firstly, oscillating flow and heat transfer driven by a sinusoidal pressure waveform, and secondly, free convection flow driven due to the reactive nature of the viscoelastic fluid. The solutions for the first problem were derived using Bessel transform technique while for the second problem by using a new modified homotopy perturbation transform method. For a horizontal cylinder, an unsteady third-grade fluid in a wire coating process inside a cylindrical die is developed. A special case of the problem is obtained for magnetohydrodynamic flow with heat transfer for second-grade fluid. Both of these two problems are solved using a new modified homotopy perturbation transform method. Data, graph and solutions obtained are shown and were found in good agreement with previous studies. 2015-07 Thesis http://eprints.uthm.edu.my/1574/ http://eprints.uthm.edu.my/1574/1/24p%20MOHAMMED%20ABDULHAMEED.pdf text en public http://eprints.uthm.edu.my/1574/2/MOHAMMED%20ABDULHAMEED%20WATERMARK.pdf text en validuser phd doctoral Universiti Tun Hussein Onn Malaysia Faculty of Science, Technology and Human Development |
| institution |
Universiti Tun Hussein Onn Malaysia |
| collection |
UTHM Institutional Repository |
| language |
English English |
| topic |
QC170-197 Atomic physics Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics |
| spellingShingle |
QC170-197 Atomic physics Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics Abdulhameed, Mohammed Analytical approach to unidirectional flow of non-Newtonian fluids of differential type |
| description |
This thesis is regarding the development of mathematical models and analytical
techniques for non-Newtonian fluids of differential types on a vertical plate, horizontal
channel, vertical channel, capillary tube and horizontal cylinder. For a vertical
plate, a mathematical model of the unsteady flow of second-grade fluid generated
by an oscillating wall with transpiration, and the problem of magnetohydrodynamic
(MHD) flow of third-grade fluid in a porous medium, have been developed. General
solutions for the second-grade fluid are derived using Laplace transform, perturbation
and variable separation techniques, while for the third-grade fluid are derived using
symmetry reduction and new modified homotopy perturbation method (HPM). For a
horizontal channel, a new analytical algorithm to solve transient flow of third-grade
fluid generated by an oscillating upper wall has been proposed. A new approach of the
optimal homotopy asymptotic method (OHAM) have been proposed to solve steady
mixed convection flows of fourth-grade fluid in a vertical channel. The accuracy of
the approximate solution is achieved through the residual function. For a capillary
tube, two flow problems of the second-grade fluid were developed. Firstly, oscillating
flow and heat transfer driven by a sinusoidal pressure waveform, and secondly, free
convection flow driven due to the reactive nature of the viscoelastic fluid. The solutions
for the first problem were derived using Bessel transform technique while for the
second problem by using a new modified homotopy perturbation transform method.
For a horizontal cylinder, an unsteady third-grade fluid in a wire coating process
inside a cylindrical die is developed. A special case of the problem is obtained
for magnetohydrodynamic flow with heat transfer for second-grade fluid. Both of
these two problems are solved using a new modified homotopy perturbation transform
method. Data, graph and solutions obtained are shown and were found in good
agreement with previous studies. |
| format |
Thesis |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| author |
Abdulhameed, Mohammed |
| author_facet |
Abdulhameed, Mohammed |
| author_sort |
Abdulhameed, Mohammed |
| title |
Analytical approach to unidirectional flow of non-Newtonian fluids of differential type |
| title_short |
Analytical approach to unidirectional flow of non-Newtonian fluids of differential type |
| title_full |
Analytical approach to unidirectional flow of non-Newtonian fluids of differential type |
| title_fullStr |
Analytical approach to unidirectional flow of non-Newtonian fluids of differential type |
| title_full_unstemmed |
Analytical approach to unidirectional flow of non-Newtonian fluids of differential type |
| title_sort |
analytical approach to unidirectional flow of non-newtonian fluids of differential type |
| granting_institution |
Universiti Tun Hussein Onn Malaysia |
| granting_department |
Faculty of Science, Technology and Human Development |
| publishDate |
2015 |
| url |
http://eprints.uthm.edu.my/1574/1/24p%20MOHAMMED%20ABDULHAMEED.pdf http://eprints.uthm.edu.my/1574/2/MOHAMMED%20ABDULHAMEED%20WATERMARK.pdf |
| _version_ |
1747830819933650944 |