3-D Maxwell fluid flow over an exponentially stretching surface using 3-stage Lobatto IIIA formula

M. Awais; T. Hayat; Aamir Ali

doi:10.1063/1.4953001

3-D Maxwell fluid flow over an exponentially stretching surface using 3-stage Lobatto IIIA formula

M. Awais
, T. Hayat
, Aamir Ali

Commission on Science and Technology for Sustainable Development in the South
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

The present study looks at the three dimensional boundary layer flow driven by an exponentially stretching surface. An upper-convected Maxwell (UCM) fluid is considered. Characteristics here are characterized by rheological constitutive equations of upper convected Maxwell (UCM) fluid. Involved mathematical modeling constitutes a nonlinear differential system. 3-stage Lobatto IIIA formula is employed to construct the numerical solutions whereas analytic solutions are computed using HAM. Both solutions are compared and found in good agreement. The velocity components are analyzed for the Deborah number and ratio parameters.

Original language	English
Article number	055121
Journal	AIP Advances
Volume	6
Issue number	5
DOIs	https://doi.org/10.1063/1.4953001
State	Published - 1 May 2016
Externally published	Yes

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10.1063/1.4953001

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abstract = "The present study looks at the three dimensional boundary layer flow driven by an exponentially stretching surface. An upper-convected Maxwell (UCM) fluid is considered. Characteristics here are characterized by rheological constitutive equations of upper convected Maxwell (UCM) fluid. Involved mathematical modeling constitutes a nonlinear differential system. 3-stage Lobatto IIIA formula is employed to construct the numerical solutions whereas analytic solutions are computed using HAM. Both solutions are compared and found in good agreement. The velocity components are analyzed for the Deborah number and ratio parameters.",

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N2 - The present study looks at the three dimensional boundary layer flow driven by an exponentially stretching surface. An upper-convected Maxwell (UCM) fluid is considered. Characteristics here are characterized by rheological constitutive equations of upper convected Maxwell (UCM) fluid. Involved mathematical modeling constitutes a nonlinear differential system. 3-stage Lobatto IIIA formula is employed to construct the numerical solutions whereas analytic solutions are computed using HAM. Both solutions are compared and found in good agreement. The velocity components are analyzed for the Deborah number and ratio parameters.

AB - The present study looks at the three dimensional boundary layer flow driven by an exponentially stretching surface. An upper-convected Maxwell (UCM) fluid is considered. Characteristics here are characterized by rheological constitutive equations of upper convected Maxwell (UCM) fluid. Involved mathematical modeling constitutes a nonlinear differential system. 3-stage Lobatto IIIA formula is employed to construct the numerical solutions whereas analytic solutions are computed using HAM. Both solutions are compared and found in good agreement. The velocity components are analyzed for the Deborah number and ratio parameters.

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3-D Maxwell fluid flow over an exponentially stretching surface using 3-stage Lobatto IIIA formula

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