Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions
We investigate squeezing flow between two large parallel plates by transforming the basic governing equations of the first grade fluid to an ordinary nonlinear differential equation using the stream functions ur(r,z,t)=(1/r)(∂ψ/∂z) and uz(r,z,t)=−(1/r)(∂ψ/∂r) and a transformation ψ(r,z)=r2F(z). The...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/835268 |
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| _version_ | 1832545688009834496 |
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| author | Hamid Khan S. Islam Javed Ali Inayat Ali Shah |
| author_facet | Hamid Khan S. Islam Javed Ali Inayat Ali Shah |
| author_sort | Hamid Khan |
| collection | DOAJ |
| description | We investigate squeezing flow between two large parallel plates by transforming the basic governing equations of the first grade fluid to an ordinary nonlinear differential equation using the stream functions ur(r,z,t)=(1/r)(∂ψ/∂z) and uz(r,z,t)=−(1/r)(∂ψ/∂r) and a transformation ψ(r,z)=r2F(z). The velocity profiles are investigated through various analytical techniques like Adomian decomposition method, new iterative method, homotopy perturbation, optimal homotopy asymptotic method, and differential transform method. |
| format | Article |
| id | doaj-art-007a3f92bd6a4f4cb26ea1f5d6cb382e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-007a3f92bd6a4f4cb26ea1f5d6cb382e2025-02-03T07:24:57ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/835268835268Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary ConditionsHamid Khan0S. Islam1Javed Ali2Inayat Ali Shah3Islamia College Peshawar (Chartered University), Khyber Pakhtunkhawa, Peshawar 25120, PakistanDepartment of Mathematics, CIIT, H-8, Islamabad 44000, PakistanCECOS University of IT and Emerging Sciences, Peshawar 25100, PakistanIslamia College Peshawar (Chartered University), Khyber Pakhtunkhawa, Peshawar 25120, PakistanWe investigate squeezing flow between two large parallel plates by transforming the basic governing equations of the first grade fluid to an ordinary nonlinear differential equation using the stream functions ur(r,z,t)=(1/r)(∂ψ/∂z) and uz(r,z,t)=−(1/r)(∂ψ/∂r) and a transformation ψ(r,z)=r2F(z). The velocity profiles are investigated through various analytical techniques like Adomian decomposition method, new iterative method, homotopy perturbation, optimal homotopy asymptotic method, and differential transform method.http://dx.doi.org/10.1155/2012/835268 |
| spellingShingle | Hamid Khan S. Islam Javed Ali Inayat Ali Shah Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions Abstract and Applied Analysis |
| title | Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions |
| title_full | Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions |
| title_fullStr | Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions |
| title_full_unstemmed | Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions |
| title_short | Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions |
| title_sort | comparison of different analytic solutions to axisymmetric squeezing fluid flow between two infinite parallel plates with slip boundary conditions |
| url | http://dx.doi.org/10.1155/2012/835268 |
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