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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Main Authors: Lok, Yian Yian, Abdul Karim, Mohamad Faisal, Pop, Ioan
Format: Article
Language:English
Published: American Institute of Physics 2013
Subjects:
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.
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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
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AT abdulkarimmohamadfaisal stagnationpointflowtowardsameltingshrinkingsheetinanupperconvectedmaxwellfluid
AT popioan stagnationpointflowtowardsameltingshrinkingsheetinanupperconvectedmaxwellfluid