Analytical solution of convective oscillating flow at a sinusoidal pressure waveform

The flow of an oscillating motion of viscoelastic fluid in a capillary tube is modelled to determine a sinusoidal waveform effect on the heat transfer performance. Analytical technique based on finite Hankel transformation, incorporating Laplace transformation and combined with confluent hypergeomet...

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Main Authors: Abdulhameed, M., Vieru, D., Roslan, R., Shafie, S.
Format: Article
Published: Springer Netherlands 2017
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Online Access:http://eprints.utm.my/id/eprint/76951/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969766650&doi=10.1007%2fs11012-016-0446-7&partnerID=40&md5=775283b605b37893ed9f1bb341940174
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spelling my.utm.769512018-05-31T09:31:26Z http://eprints.utm.my/id/eprint/76951/ Analytical solution of convective oscillating flow at a sinusoidal pressure waveform Abdulhameed, M. Vieru, D. Roslan, R. Shafie, S. QA Mathematics The flow of an oscillating motion of viscoelastic fluid in a capillary tube is modelled to determine a sinusoidal waveform effect on the heat transfer performance. Analytical technique based on finite Hankel transformation, incorporating Laplace transformation and combined with confluent hypergeometric function (Kummer’s function) is implemented in time and space with the constitutive model for the viscoelastic fluid. Explicit analytical expressions for the steady, permanent and transient solutions for both the velocity and temperature fields describing the flow at small and large times have been derived. The results are displayed graphically, and the influence of the Prandtl number Pr and transient amplitude B1 is discussed. Springer Netherlands 2017 Article PeerReviewed Abdulhameed, M. and Vieru, D. and Roslan, R. and Shafie, S. (2017) Analytical solution of convective oscillating flow at a sinusoidal pressure waveform. Meccanica, 52 (4-5). pp. 941-954. ISSN 0025-6455 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969766650&doi=10.1007%2fs11012-016-0446-7&partnerID=40&md5=775283b605b37893ed9f1bb341940174 DOI:10.1007/s11012-016-0446-7
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Abdulhameed, M.
Vieru, D.
Roslan, R.
Shafie, S.
Analytical solution of convective oscillating flow at a sinusoidal pressure waveform
description The flow of an oscillating motion of viscoelastic fluid in a capillary tube is modelled to determine a sinusoidal waveform effect on the heat transfer performance. Analytical technique based on finite Hankel transformation, incorporating Laplace transformation and combined with confluent hypergeometric function (Kummer’s function) is implemented in time and space with the constitutive model for the viscoelastic fluid. Explicit analytical expressions for the steady, permanent and transient solutions for both the velocity and temperature fields describing the flow at small and large times have been derived. The results are displayed graphically, and the influence of the Prandtl number Pr and transient amplitude B1 is discussed.
format Article
author Abdulhameed, M.
Vieru, D.
Roslan, R.
Shafie, S.
author_facet Abdulhameed, M.
Vieru, D.
Roslan, R.
Shafie, S.
author_sort Abdulhameed, M.
title Analytical solution of convective oscillating flow at a sinusoidal pressure waveform
title_short Analytical solution of convective oscillating flow at a sinusoidal pressure waveform
title_full Analytical solution of convective oscillating flow at a sinusoidal pressure waveform
title_fullStr Analytical solution of convective oscillating flow at a sinusoidal pressure waveform
title_full_unstemmed Analytical solution of convective oscillating flow at a sinusoidal pressure waveform
title_sort analytical solution of convective oscillating flow at a sinusoidal pressure waveform
publisher Springer Netherlands
publishDate 2017
url http://eprints.utm.my/id/eprint/76951/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969766650&doi=10.1007%2fs11012-016-0446-7&partnerID=40&md5=775283b605b37893ed9f1bb341940174
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score 13.209306