Publicou 12 edições por ano
ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508
Indexed in
BEHAVIORAL STUDY OF UNSTEADY SQUEEZING FLOW THROUGH POROUS MEDIUM
RESUMO
The aim of this article is to model and analyze an unsteady axisymmetric flow of Newtonian fluid squeezed between two finite circular plates passing through porous medium channel. A system of nonlinear partial differential equations is reduced to a single fourth-order ordinary differential equation using similarity transformation. The resulting boundary value problem is solved with the homotopy perturbation method (HPM) and the authenticity of the solution is verified by evaluating absolute residual errors. The problem is also solved numerically using Mathematica solver NDSolve and the absolute residual errors for various parameters are obtained. The effectiveness of HPM is confirmed by comparing residual errors of analytical and numerical techniques. In addition, effects of various dimensionless parameters on the velocity profiles are studied in detail.
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Khan Hamid, Qayyum Mubashir, Khan Omar, Ali Murtaza, Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium, Mathematical Problems in Engineering, 2016, 2016. Crossref
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Sobamowo M.G., Akinshilo A.T., On the analysis of squeezing flow of nanofluid between two parallel plates under the influence of magnetic field, Alexandria Engineering Journal, 57, 3, 2018. Crossref
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Qayyum Mubashir, Khan Hamid, Khan Omar, Slip Analysis at Fluid-Solid Interface in MHD Squeezing Flow of Casson Fluid through Porous Medium, Results in Physics, 7, 2017. Crossref
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Sobamowo M.G., Jayesimi L.O., Waheed M.A., Magnetohydrodynamic squeezing flow analysis of nanofluid under the effect of slip boundary conditions using variation of parameter method, Karbala International Journal of Modern Science, 4, 1, 2018. Crossref
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Shirkhani M.R., Hoshyar H.A., Rahimipetroudi I., Akhavan H., Ganji D.D., Unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates by homotopy analysis method (HAM), homotopy perturbation method (HPM) and collocation method (CM), Propulsion and Power Research, 7, 3, 2018. Crossref
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Ullah Inayat, Rahim M.T., Khan Hamid, Qayyum Mubashir, Analysis of various semi-numerical schemes for magnetohydrodynamic (MHD) squeezing fluid flow in porous medium, Propulsion and Power Research, 8, 1, 2019. Crossref
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Qayyum Mubashir, Khan Omar, Abdeljawad Thabet, Imran Naveed, Sohail Muhammad, Al-Kouz Wael, On Behavioral Response of 3D Squeezing Flow of Nanofluids in a Rotating Channel, Complexity, 2020, 2020. Crossref
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Abbasi F M, Shanakhat I, Shehzad S A, Ben Hamida Mohamed Bechir, Squeezed flow of water-based nanofluid having temperature dependent viscosity and thermal conductivity, Physica Scripta, 96, 6, 2021. Crossref
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Ndjawa Yomi P. A., Bansi Kamdem C. D., Nkoa Nkomom T., Tabi C. B., Mohamadou A., Kofane T. C., Fractional blood flow in rotating nanofluid with different shapes nanoparticles in the influence of activation energy and thermal radiation, Chaos: An Interdisciplinary Journal of Nonlinear Science, 31, 9, 2021. Crossref
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Qayyum Mubashir, Oscar Imbsat, Papadopoulos Basil, Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method, Journal of Mathematics, 2021, 2021. Crossref
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Dash R. K., Mishra S. R., Sharma Ram Prakash, Squeezing Flow Analysis of AA7072-Water and AA7075-Water Nanofluids with Dissipative Energy, International Journal of Applied and Computational Mathematics, 7, 6, 2021. Crossref
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Farnaz , Qayyum Mubashir, Shah Syed Inayat Ali, Yao Shao-Wen, Imran Naveed, Sohail Muhammad, Homotopic fractional analysis of thin film flow of Oldroyd 6-Constant fluid, Alexandria Engineering Journal, 60, 6, 2021. Crossref
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Qayyum Mubashir, Ismail Farnaz, Ali Shah Syed Inayat, Sohail Muhammad, El-Zahar Essam R., Gokul K. C, Riaz Arshad, An Application of Homotopy Perturbation Method to Fractional-Order Thin Film Flow of the Johnson–Segalman Fluid Model, Mathematical Problems in Engineering, 2022, 2022. Crossref