Stagnation Point Flow towards a Melting Shrinking Sheet in an Upper Convected Maxwell Fluid
An analysis of the steady stagnation point flow towards a melting shrinking sheet in an upper convected Maxwell (UCM) fluid has been studied. A similarity transformation is used to reduce the governing partial differential equations to third-order nonlinear ordinary differential equation which are...
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Format: | Article |
Language: | English |
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American Institute of Physics
2013
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Online Access: | http://eprints.usm.my/30971/1/Proceedings_SKSM_20.pdf |
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author | Lok, Yian Yian Abdul Karim, Mohamad Faisal Pop, Ioan |
author_facet | Lok, Yian Yian Abdul Karim, Mohamad Faisal Pop, Ioan |
author_sort | Lok, Yian Yian |
collection | USM |
description | An analysis of the steady stagnation point flow towards a melting shrinking sheet in an upper convected
Maxwell (UCM) fluid has been studied. A similarity transformation is used to reduce the governing partial differential
equations to third-order nonlinear ordinary differential equation which are then solved numerically using an implicit
finite difference method, namely the Keller-box method. The influences of the melting and shrinking parameters on the
flow and beat transfer characteristics are studied. Representative results for the reduced skin friction coefficient and the
reduced heat flux from the surface of sheet (local Nusselt number) as well as the velocity and temperature profiles are
presented. 1t is found that the solutions are non-unique for some values of the shrinking parameter. |
first_indexed | 2024-03-06T14:53:09Z |
format | Article |
id | usm.eprints-30971 |
institution | Universiti Sains Malaysia |
language | English |
last_indexed | 2024-03-06T14:53:09Z |
publishDate | 2013 |
publisher | American Institute of Physics |
record_format | dspace |
spelling | usm.eprints-309712016-11-04T01:47:07Z http://eprints.usm.my/30971/ Stagnation Point Flow towards a Melting Shrinking Sheet in an Upper Convected Maxwell Fluid Lok, Yian Yian Abdul Karim, Mohamad Faisal Pop, Ioan LC5800-5808 Distance education. QA1-939 Mathematics An analysis of the steady stagnation point flow towards a melting shrinking sheet in an upper convected Maxwell (UCM) fluid has been studied. A similarity transformation is used to reduce the governing partial differential equations to third-order nonlinear ordinary differential equation which are then solved numerically using an implicit finite difference method, namely the Keller-box method. The influences of the melting and shrinking parameters on the flow and beat transfer characteristics are studied. Representative results for the reduced skin friction coefficient and the reduced heat flux from the surface of sheet (local Nusselt number) as well as the velocity and temperature profiles are presented. 1t is found that the solutions are non-unique for some values of the shrinking parameter. American Institute of Physics 2013 Article PeerReviewed application/pdf en http://eprints.usm.my/30971/1/Proceedings_SKSM_20.pdf Lok, Yian Yian and Abdul Karim, Mohamad Faisal and Pop, Ioan (2013) Stagnation Point Flow towards a Melting Shrinking Sheet in an Upper Convected Maxwell Fluid. Proceedings of the 20th National Symposium on Mathematical Sciences (AIP Conference Proceeding), 1522 (614). pp. 614-619. http://dx.doi.org/1 0.1063/1.4801181 |
spellingShingle | LC5800-5808 Distance education. QA1-939 Mathematics Lok, Yian Yian Abdul Karim, Mohamad Faisal Pop, Ioan Stagnation Point Flow towards a Melting Shrinking Sheet in an Upper Convected Maxwell Fluid |
title | Stagnation Point Flow towards a Melting Shrinking Sheet in
an Upper Convected Maxwell Fluid |
title_full | Stagnation Point Flow towards a Melting Shrinking Sheet in
an Upper Convected Maxwell Fluid |
title_fullStr | Stagnation Point Flow towards a Melting Shrinking Sheet in
an Upper Convected Maxwell Fluid |
title_full_unstemmed | Stagnation Point Flow towards a Melting Shrinking Sheet in
an Upper Convected Maxwell Fluid |
title_short | Stagnation Point Flow towards a Melting Shrinking Sheet in
an Upper Convected Maxwell Fluid |
title_sort | stagnation point flow towards a melting shrinking sheet in an upper convected maxwell fluid |
topic | LC5800-5808 Distance education. QA1-939 Mathematics |
url | http://eprints.usm.my/30971/1/Proceedings_SKSM_20.pdf |
work_keys_str_mv | AT lokyianyian stagnationpointflowtowardsameltingshrinkingsheetinanupperconvectedmaxwellfluid AT abdulkarimmohamadfaisal stagnationpointflowtowardsameltingshrinkingsheetinanupperconvectedmaxwellfluid AT popioan stagnationpointflowtowardsameltingshrinkingsheetinanupperconvectedmaxwellfluid |