Creeping flow of Carreau fluid through a porous slit

We will investigate the creeping flow of a Carreau incompressible fluid through a slit with uniformly porous walls. Non-dimensionalization is used to represent the controlling two-dimensional flow equations and non-homogeneous boundary conditions. The resulting equations are solved using a recursive...

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Veröffentlicht in:	Soft computing (Berlin, Germany) Jg. 28; H. 23-24; S. 13039 - 13051
Hauptverfasser:	Malik, Rabia, Sadaf, Hina, Asif, Tehreem
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Heidelberg Springer Nature B.V 01.12.2024
Schlagworte:	Boundary conditions Composite materials Flow equations Fluid dynamics Fluid flow Gaseous diffusion Incompressible flow Incompressible fluids Non-Newtonian fluids Normal stress Parameters Porous materials Porous walls Pressure distribution Recursive functions Recursive methods Reynolds number Stream functions (fluids) Two dimensional flow Viscosity
ISSN:	1432-7643, 1433-7479
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Abstract	We will investigate the creeping flow of a Carreau incompressible fluid through a slit with uniformly porous walls. Non-dimensionalization is used to represent the controlling two-dimensional flow equations and non-homogeneous boundary conditions. The resulting equations are solved using a recursive method. Equations are developed for the stream function, velocity components, volumetric flow rate, pressure distribution, shear and normal stresses on the slit wall as well as in general, fractional absorption, and leakage flux are also considered. Moreover, maximum velocity component points are noted. It is evident from the graphs that when porosity parameter (S) grows, the axial velocity decreases and backward flow is visible in the channel’s center. This is because the higher wall permeability allows more fluid to pass through the slit walls. Axial velocity rises toward the slit walls and decreases at the center as Γ grows due to the larger non-Newtonian parameter. This subject provides a mathematical basis for understanding the physical phenomena of fluid flows through slit walls, which arise in many problems, including gaseous diffusion, filtration, and biological systems.
AbstractList	We will investigate the creeping flow of a Carreau incompressible fluid through a slit with uniformly porous walls. Non-dimensionalization is used to represent the controlling two-dimensional flow equations and non-homogeneous boundary conditions. The resulting equations are solved using a recursive method. Equations are developed for the stream function, velocity components, volumetric flow rate, pressure distribution, shear and normal stresses on the slit wall as well as in general, fractional absorption, and leakage flux are also considered. Moreover, maximum velocity component points are noted. It is evident from the graphs that when porosity parameter (S) grows, the axial velocity decreases and backward flow is visible in the channel’s center. This is because the higher wall permeability allows more fluid to pass through the slit walls. Axial velocity rises toward the slit walls and decreases at the center as Γ grows due to the larger non-Newtonian parameter. This subject provides a mathematical basis for understanding the physical phenomena of fluid flows through slit walls, which arise in many problems, including gaseous diffusion, filtration, and biological systems.
Author	Asif, Tehreem Malik, Rabia Sadaf, Hina
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Cites_doi	10.1115/1.4048612 10.1063/5.0127463 10.1002/htj.22814 10.1122/1.548946 10.1080/17455030.2023.2168786 10.1016/j.asej.2013.09.005 10.1007/s10891-017-1672-0 10.1186/s13661-017-0827-4 10.1108/WJE-12-2020-0660 10.31349/RevMexFis.64.519 10.1063/1.868462 10.1063/5.0136326 10.1007/s10891-021-02347-0 10.1122/1.548968 10.1016/j.tsep.2020.100486 10.1166/jon.2018.1530 10.1108/MMMS-12-2019-0232 10.1016/j.cjph.2020.02.001 10.1080/17455030.2022.2139014 10.1166/jon.2019.1554 10.1155/2022/2517933 10.1140/epjp/s13360-022-03409-9 10.3390/math8101852 10.2298/TSCI101026060O 10.1098/rsos.191305 10.1063/1.4954567 10.1093/qjmam/hbac004 10.1007/s10483-016-2032-6
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Snippet	We will investigate the creeping flow of a Carreau incompressible fluid through a slit with uniformly porous walls. Non-dimensionalization is used to represent...
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SubjectTerms	Boundary conditions Composite materials Flow equations Fluid dynamics Fluid flow Gaseous diffusion Incompressible flow Incompressible fluids Non-Newtonian fluids Normal stress Parameters Porous materials Porous walls Pressure distribution Recursive functions Recursive methods Reynolds number Stream functions (fluids) Two dimensional flow Viscosity
Title	Creeping flow of Carreau fluid through a porous slit
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