MHD effects on the channel flow of a fractional viscous fluid through a porous medium: An application of the Caputo-Fabrizio time-fractional derivative
•We analyze the channel flow of a fractional viscous fluid.•The Caputo-Fabrizio time fractional derivative is used in the governing equation.•The bottom plate is subjected to an arbitrary time dependent motion.•Joint applications of the Laplace and Fourier transforms are used. This research article...
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Published in | Chinese journal of physics (Taipei) Vol. 65; pp. 14 - 23 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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Elsevier B.V
01.06.2020
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Abstract | •We analyze the channel flow of a fractional viscous fluid.•The Caputo-Fabrizio time fractional derivative is used in the governing equation.•The bottom plate is subjected to an arbitrary time dependent motion.•Joint applications of the Laplace and Fourier transforms are used.
This research article considers the exact solutions and theoretical aspects of the channel flow of a fractional viscous fluid which is electrically conducting and flowing through a porous medium. Joint Laplace and Fourier transform techniques are used to solve the momentum equation. The Caputo-Fabrizio time fractional derivative is used in the constitutive equations. Exact solutions for an arbitrary velocity are obtained, and then in the limiting cases over a bottom plate three types of flow are considered: that is, the impulsive, accelerating and oscillating motion of the fluid. The case where the flow of the fractional fluid is unaffected by the side walls, is correspondingly taken into account. For oscillating flow the solutions are separated into steady and transient parts for both sine and cosine oscillations. Moreover these solutions are captured graphically, and the effect of the Reynolds number “Re”, fractional parameter “α”, effective permeability “Keff” and the time “t”, on the fluid's motion are observed. |
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AbstractList | •We analyze the channel flow of a fractional viscous fluid.•The Caputo-Fabrizio time fractional derivative is used in the governing equation.•The bottom plate is subjected to an arbitrary time dependent motion.•Joint applications of the Laplace and Fourier transforms are used.
This research article considers the exact solutions and theoretical aspects of the channel flow of a fractional viscous fluid which is electrically conducting and flowing through a porous medium. Joint Laplace and Fourier transform techniques are used to solve the momentum equation. The Caputo-Fabrizio time fractional derivative is used in the constitutive equations. Exact solutions for an arbitrary velocity are obtained, and then in the limiting cases over a bottom plate three types of flow are considered: that is, the impulsive, accelerating and oscillating motion of the fluid. The case where the flow of the fractional fluid is unaffected by the side walls, is correspondingly taken into account. For oscillating flow the solutions are separated into steady and transient parts for both sine and cosine oscillations. Moreover these solutions are captured graphically, and the effect of the Reynolds number “Re”, fractional parameter “α”, effective permeability “Keff” and the time “t”, on the fluid's motion are observed. |
Author | Khan, Zar Ali Khan, Muhammad Atif Haq, Sami Ul Ali, Farhad |
Author_xml | – sequence: 1 givenname: Sami Ul surname: Haq fullname: Haq, Sami Ul organization: Department of Mathematics, Islamia College Peshawar, Peshawar, Khyber Pakhtunkhwa 25000, Pakistan – sequence: 2 givenname: Muhammad Atif surname: Khan fullname: Khan, Muhammad Atif organization: Department of Mathematics, Kohat University of Science & Technology, Kohat, Khyber Pakhtunkhwa, Pakistan – sequence: 3 givenname: Zar Ali surname: Khan fullname: Khan, Zar Ali organization: Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan – sequence: 4 givenname: Farhad surname: Ali fullname: Ali, Farhad email: farhad.ali@tdtu.edu.vn organization: Computational Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam |
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CitedBy_id | crossref_primary_10_1016_j_cjph_2020_10_012 crossref_primary_10_1016_j_cjph_2020_10_022 crossref_primary_10_3390_fluids6110392 crossref_primary_10_1016_j_jmmm_2023_171176 crossref_primary_10_1016_j_cjph_2020_07_019 crossref_primary_10_1016_j_ijft_2024_100697 crossref_primary_10_1142_S0129183124400035 crossref_primary_10_1016_j_cjph_2021_11_036 crossref_primary_10_3389_fmats_2023_1143612 crossref_primary_10_1016_j_cjph_2020_08_019 crossref_primary_10_1142_S0217984924504013 crossref_primary_10_3934_math_2023020 crossref_primary_10_1080_10236198_2021_1965592 crossref_primary_10_3390_mi13122149 crossref_primary_10_1002_htj_22195 crossref_primary_10_1142_S0217979224502138 crossref_primary_10_1155_2022_8600591 crossref_primary_10_1016_j_ijheatfluidflow_2024_109293 crossref_primary_10_1016_j_csite_2021_101657 crossref_primary_10_1016_j_cjph_2020_10_018 crossref_primary_10_1016_j_cjph_2020_08_012 |
Cites_doi | 10.1016/j.jnnfm.2008.06.005 10.1007/s00033-008-7129-8 10.1016/j.cjph.2017.07.006 10.1007/s00521-016-2733-6 10.1016/j.ijheatmasstransfer.2013.03.004 10.1016/j.cjph.2017.12.020 10.5560/zna.2013-0041 10.1007/978-3-642-14574-2_8 10.1016/S0925-4005(01)00851-6 10.1016/j.joems.2014.10.004 10.1016/j.aej.2016.07.022 10.1615/JPorMedia.v11.i4.50 10.1016/j.aej.2017.08.023 10.5755/j01.mech.19.3.4665 10.2514/3.3915 10.1155/2015/521069 10.1016/S0924-4247(99)00302-7 10.1007/s00707-002-0998-6 |
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Keywords | Side walls Accelerated flow Sinusoidal oscillations Magnetohydrodynamic flow Caputo-Fabrizio operator Porous medium |
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References | Han, Zheng, Zhang (bib0013) 2016; 24 Zafar, Fetecau (bib0021) 2016; 55 Caputo, Fabrizio (bib0025) 2015; 1 J. Kang, Y. Liu, T. Xia, Unsteady flows of a generalized fractional burgers’ fluid between two side walls perpendicular to a plate, Adv. Math. Phys. Volume 2015, Article ID 521069. Vieru, Fetecau, Fetecau (bib0018) 2008; 200 Sohail, Vieru, Imran (bib0012) 2013; 19 Shah, Zafar, Fetecau (bib0023) 2017; 57 Haq, Khan, Shah (bib0009) 2018; 56 Fetecau, Vieru, Fetecau, Akhter (bib0010) 2013; 68 Hayat, Khan, Ellahi, Fetecau (bib0006) 2008; 11 Haq, Khan, Ali, Shafie (bib0008) 2013 Fetecau, Fetecau, Kamran, Vieru (bib0016) 2009; 156 Erdogan (bib0014) 2003; 162 K. Diethelm, The analysis of fractional differential equations: an application-oriented exposition using differential operators of caputo type, Springer; 2010. Akhtar, Fetecau, Tigoiu, Fetecau (bib0017) 2009; 60 Jang, Lee (bib0002) 2000; 80 Mahsud, Shah, Vieru (bib0024) 2017; 55 Wang, Dudzinsky (bib0003) 1967; 5 Fetecau, Vieru, Fetecau (bib0011) 2011; 9 Zafar, Fetecau, Mirza (bib0020) 2016; 18 Rashidi, Abelman, Mehr (bib0005) 2013; 62 Lee, Lemoff, Miles (bib0001) 2004; 733 Haq, Rahman, Khan, Ali, Shah (bib0007) 2018; 30 Bau, Zhong, Yi (bib0004) 2001; 79 Asjad, Shah, Aleem, Khan (bib0022) 2017; 132 Bau (10.1016/j.cjph.2020.02.014_bib0004) 2001; 79 Sohail (10.1016/j.cjph.2020.02.014_bib0012) 2013; 19 10.1016/j.cjph.2020.02.014_bib0019 10.1016/j.cjph.2020.02.014_bib0015 Han (10.1016/j.cjph.2020.02.014_bib0013) 2016; 24 Zafar (10.1016/j.cjph.2020.02.014_bib0020) 2016; 18 Rashidi (10.1016/j.cjph.2020.02.014_bib0005) 2013; 62 Erdogan (10.1016/j.cjph.2020.02.014_bib0014) 2003; 162 Shah (10.1016/j.cjph.2020.02.014_bib0023) 2017; 57 Zafar (10.1016/j.cjph.2020.02.014_bib0021) 2016; 55 Vieru (10.1016/j.cjph.2020.02.014_bib0018) 2008; 200 Jang (10.1016/j.cjph.2020.02.014_bib0002) 2000; 80 Akhtar (10.1016/j.cjph.2020.02.014_bib0017) 2009; 60 Haq (10.1016/j.cjph.2020.02.014_bib0009) 2018; 56 Fetecau (10.1016/j.cjph.2020.02.014_bib0011) 2011; 9 Fetecau (10.1016/j.cjph.2020.02.014_bib0010) 2013; 68 Haq (10.1016/j.cjph.2020.02.014_bib0008) 2013 Wang (10.1016/j.cjph.2020.02.014_bib0003) 1967; 5 Hayat (10.1016/j.cjph.2020.02.014_bib0006) 2008; 11 Caputo (10.1016/j.cjph.2020.02.014_bib0025) 2015; 1 Lee (10.1016/j.cjph.2020.02.014_bib0001) 2004; 733 Haq (10.1016/j.cjph.2020.02.014_bib0007) 2018; 30 Mahsud (10.1016/j.cjph.2020.02.014_bib0024) 2017; 55 Fetecau (10.1016/j.cjph.2020.02.014_bib0016) 2009; 156 Asjad (10.1016/j.cjph.2020.02.014_bib0022) 2017; 132 |
References_xml | – volume: 55 start-page: 2789 year: 2016 end-page: 2796 ident: bib0021 article-title: Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel publication-title: Alex. Eng. J. contributor: fullname: Fetecau – volume: 30 start-page: 1103 year: 2018 end-page: 1109 ident: bib0007 article-title: The impact of side walls on the MHD flow of a second-grade fluid through a porous medium publication-title: Neural Comput. Appl. contributor: fullname: Shah – volume: 162 start-page: 157 year: 2003 end-page: 166 ident: bib0014 article-title: The effects of side walls on axial flow in rectangular ducts with suction and injection publication-title: Acta. Mech. contributor: fullname: Erdogan – volume: 62 start-page: 515 year: 2013 end-page: 525 ident: bib0005 article-title: Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid publication-title: Int. J. Heat Transf. contributor: fullname: Mehr – volume: 200 start-page: 459 year: 2008 end-page: 464 ident: bib0018 article-title: Flow of a viscoelastic fluid with the fractional maxwell model between two side walls perpendicular to a plate publication-title: Appl. Math. Comput. contributor: fullname: Fetecau – volume: 56 start-page: 261 year: 2018 end-page: 269 ident: bib0009 article-title: Analysis of magnetohydrodynamic flow of a fractional viscous fluid through a porous medium publication-title: Chin. J. Phys. contributor: fullname: Shah – volume: 19 start-page: 269 year: 2013 end-page: 276 ident: bib0012 article-title: Influence of side walls on the oscillating motion of a Maxwell fluid over an infinite plate publication-title: Mech contributor: fullname: Imran – volume: 68 start-page: 659 year: 2013 end-page: 667 ident: bib0010 article-title: General solutions for magnetohydrodynamic natural convection flow with radiative heat transfer and slip condition over a moving plate publication-title: Z. Naturforsch. contributor: fullname: Akhter – year: 2013 ident: bib0008 article-title: Radiation and magnetohydrodynamics effects on unsteady free convection flow in a porous medium publication-title: Math. Prob. Eng. contributor: fullname: Shafie – volume: 57 start-page: 2529 year: 2017 end-page: 2540 ident: bib0023 article-title: Free convection flows over a vertical plate that applies shear stress to a fractional viscous fluid publication-title: Alex. Eng. J. contributor: fullname: Fetecau – volume: 733 start-page: 172 year: 2004 ident: bib0001 article-title: The regents of the university of California publication-title: Magnetohydrodynamic (MHD) Dri. Droplet Mixer United States Patent US 6 contributor: fullname: Miles – volume: 132 year: 2017 ident: bib0022 article-title: Heat transfer analysis of fractional second-grade fluid subject to newtonian heating with Caputo and Caputo-Fabrizio fractional derivatives: a comparison publication-title: Eur. Phys. J. Plus. contributor: fullname: Khan – volume: 80 start-page: 84 year: 2000 end-page: 89 ident: bib0002 article-title: Theoretical and experimental study of MHD (magnetohydrodynamic) micro pump publication-title: Sensors Actuat. A Phys. contributor: fullname: Lee – volume: 60 start-page: 498 year: 2009 end-page: 510 ident: bib0017 article-title: Flow of a maxwell fluid between two side walls induced by a constantly accelerating plate publication-title: Z. Angew. Math. Phys. contributor: fullname: Fetecau – volume: 24 start-page: 130 year: 2016 end-page: 137 ident: bib0013 article-title: Slip effects on a generalized burgers’ fluid flow between two side walls with fractional derivative publication-title: J. Egypt. Math. Soc. contributor: fullname: Zhang – volume: 11 start-page: 389 year: 2008 end-page: 400 ident: bib0006 article-title: Some MHD flows of a second grade fluid through the porous medium publication-title: J. Porous. Med. contributor: fullname: Fetecau – volume: 5 start-page: 107 year: 1967 end-page: 112 ident: bib0003 article-title: Theoretical and experimental study of a liquid metal MHD induction generator publication-title: AIAA J. contributor: fullname: Dudzinsky – volume: 156 start-page: 189 year: 2009 end-page: 201 ident: bib0016 article-title: Exact solutions for the flow of a generalized oldroyd-b fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate publication-title: J. Non-Newtonian. Fluid. Mech. contributor: fullname: Vieru – volume: 9 start-page: 816 year: 2011 end-page: 824 ident: bib0011 article-title: Effect of side walls on the motion of a viscous fluid induced by an infinite plate that applies an oscillating shear stress to the fluid publication-title: Cent. Eur. J. Phys. contributor: fullname: Fetecau – volume: 79 start-page: 207 year: 2001 end-page: 215 ident: bib0004 article-title: A minute magnetohydrodynamic (MHD) mixer publication-title: Sensors Actuat. B Chem. contributor: fullname: Yi – volume: 1 start-page: 73 year: 2015 end-page: 85 ident: bib0025 article-title: A new definition of fractional derivative without singular kernel publication-title: Progr. Fract. Differ. Appl. contributor: fullname: Fabrizio – volume: 18 year: 2016 ident: bib0020 article-title: On the flow of oldroyd-b fluids with fractional derivative over a vertical plate that applies shear stress to the fluid publication-title: Math. Rep. contributor: fullname: Mirza – volume: 55 start-page: 1340 year: 2017 end-page: 1351 ident: bib0024 article-title: Influence of time-fractional derivatives on the boundary layer flow of Maxwell fluids publication-title: Chin. J. Phys. contributor: fullname: Vieru – volume: 733 start-page: 172 year: 2004 ident: 10.1016/j.cjph.2020.02.014_bib0001 article-title: The regents of the university of California publication-title: Magnetohydrodynamic (MHD) Dri. Droplet Mixer United States Patent US 6 contributor: fullname: Lee – volume: 1 start-page: 73 issue: 2 year: 2015 ident: 10.1016/j.cjph.2020.02.014_bib0025 article-title: A new definition of fractional derivative without singular kernel publication-title: Progr. Fract. Differ. Appl. contributor: fullname: Caputo – volume: 156 start-page: 189 issue: 3 year: 2009 ident: 10.1016/j.cjph.2020.02.014_bib0016 article-title: Exact solutions for the flow of a generalized oldroyd-b fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate publication-title: J. Non-Newtonian. Fluid. Mech. doi: 10.1016/j.jnnfm.2008.06.005 contributor: fullname: Fetecau – volume: 60 start-page: 498 issue: 3 year: 2009 ident: 10.1016/j.cjph.2020.02.014_bib0017 article-title: Flow of a maxwell fluid between two side walls induced by a constantly accelerating plate publication-title: Z. Angew. Math. Phys. doi: 10.1007/s00033-008-7129-8 contributor: fullname: Akhtar – volume: 55 start-page: 1340 issue: 4 year: 2017 ident: 10.1016/j.cjph.2020.02.014_bib0024 article-title: Influence of time-fractional derivatives on the boundary layer flow of Maxwell fluids publication-title: Chin. J. Phys. doi: 10.1016/j.cjph.2017.07.006 contributor: fullname: Mahsud – volume: 30 start-page: 1103 issue: 4 year: 2018 ident: 10.1016/j.cjph.2020.02.014_bib0007 article-title: The impact of side walls on the MHD flow of a second-grade fluid through a porous medium publication-title: Neural Comput. Appl. doi: 10.1007/s00521-016-2733-6 contributor: fullname: Haq – volume: 200 start-page: 459 issue: 1 year: 2008 ident: 10.1016/j.cjph.2020.02.014_bib0018 article-title: Flow of a viscoelastic fluid with the fractional maxwell model between two side walls perpendicular to a plate publication-title: Appl. Math. Comput. contributor: fullname: Vieru – volume: 62 start-page: 515 year: 2013 ident: 10.1016/j.cjph.2020.02.014_bib0005 article-title: Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid publication-title: Int. J. Heat Transf. doi: 10.1016/j.ijheatmasstransfer.2013.03.004 contributor: fullname: Rashidi – volume: 56 start-page: 261 year: 2018 ident: 10.1016/j.cjph.2020.02.014_bib0009 article-title: Analysis of magnetohydrodynamic flow of a fractional viscous fluid through a porous medium publication-title: Chin. J. Phys. doi: 10.1016/j.cjph.2017.12.020 contributor: fullname: Haq – volume: 132 issue: 340 year: 2017 ident: 10.1016/j.cjph.2020.02.014_bib0022 article-title: Heat transfer analysis of fractional second-grade fluid subject to newtonian heating with Caputo and Caputo-Fabrizio fractional derivatives: a comparison publication-title: Eur. Phys. J. Plus. contributor: fullname: Asjad – volume: 68 start-page: 659 issue: 10–11 year: 2013 ident: 10.1016/j.cjph.2020.02.014_bib0010 article-title: General solutions for magnetohydrodynamic natural convection flow with radiative heat transfer and slip condition over a moving plate publication-title: Z. Naturforsch. doi: 10.5560/zna.2013-0041 contributor: fullname: Fetecau – ident: 10.1016/j.cjph.2020.02.014_bib0019 doi: 10.1007/978-3-642-14574-2_8 – volume: 79 start-page: 207 issue: 2 year: 2001 ident: 10.1016/j.cjph.2020.02.014_bib0004 article-title: A minute magnetohydrodynamic (MHD) mixer publication-title: Sensors Actuat. B Chem. doi: 10.1016/S0925-4005(01)00851-6 contributor: fullname: Bau – volume: 24 start-page: 130 issue: 1 year: 2016 ident: 10.1016/j.cjph.2020.02.014_bib0013 article-title: Slip effects on a generalized burgers’ fluid flow between two side walls with fractional derivative publication-title: J. Egypt. Math. Soc. doi: 10.1016/j.joems.2014.10.004 contributor: fullname: Han – volume: 55 start-page: 2789 issue: 3 year: 2016 ident: 10.1016/j.cjph.2020.02.014_bib0021 article-title: Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2016.07.022 contributor: fullname: Zafar – volume: 11 start-page: 389 issue: 4 year: 2008 ident: 10.1016/j.cjph.2020.02.014_bib0006 article-title: Some MHD flows of a second grade fluid through the porous medium publication-title: J. Porous. Med. doi: 10.1615/JPorMedia.v11.i4.50 contributor: fullname: Hayat – volume: 57 start-page: 2529 issue: 4 year: 2017 ident: 10.1016/j.cjph.2020.02.014_bib0023 article-title: Free convection flows over a vertical plate that applies shear stress to a fractional viscous fluid publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2017.08.023 contributor: fullname: Shah – volume: 19 start-page: 269 issue: 3 year: 2013 ident: 10.1016/j.cjph.2020.02.014_bib0012 article-title: Influence of side walls on the oscillating motion of a Maxwell fluid over an infinite plate publication-title: Mech doi: 10.5755/j01.mech.19.3.4665 contributor: fullname: Sohail – volume: 5 start-page: 107 issue: 1 year: 1967 ident: 10.1016/j.cjph.2020.02.014_bib0003 article-title: Theoretical and experimental study of a liquid metal MHD induction generator publication-title: AIAA J. doi: 10.2514/3.3915 contributor: fullname: Wang – ident: 10.1016/j.cjph.2020.02.014_bib0015 doi: 10.1155/2015/521069 – volume: 9 start-page: 816 issue: 3 year: 2011 ident: 10.1016/j.cjph.2020.02.014_bib0011 article-title: Effect of side walls on the motion of a viscous fluid induced by an infinite plate that applies an oscillating shear stress to the fluid publication-title: Cent. Eur. J. Phys. contributor: fullname: Fetecau – volume: 80 start-page: 84 issue: 1 year: 2000 ident: 10.1016/j.cjph.2020.02.014_bib0002 article-title: Theoretical and experimental study of MHD (magnetohydrodynamic) micro pump publication-title: Sensors Actuat. A Phys. doi: 10.1016/S0924-4247(99)00302-7 contributor: fullname: Jang – year: 2013 ident: 10.1016/j.cjph.2020.02.014_bib0008 article-title: Radiation and magnetohydrodynamics effects on unsteady free convection flow in a porous medium publication-title: Math. Prob. Eng. contributor: fullname: Haq – volume: 162 start-page: 157 issue: 1–4 year: 2003 ident: 10.1016/j.cjph.2020.02.014_bib0014 article-title: The effects of side walls on axial flow in rectangular ducts with suction and injection publication-title: Acta. Mech. doi: 10.1007/s00707-002-0998-6 contributor: fullname: Erdogan – volume: 18 issue: 1 year: 2016 ident: 10.1016/j.cjph.2020.02.014_bib0020 article-title: On the flow of oldroyd-b fluids with fractional derivative over a vertical plate that applies shear stress to the fluid publication-title: Math. Rep. contributor: fullname: Zafar |
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SubjectTerms | Accelerated flow Caputo-Fabrizio operator Magnetohydrodynamic flow Porous medium Side walls Sinusoidal oscillations |
Title | MHD effects on the channel flow of a fractional viscous fluid through a porous medium: An application of the Caputo-Fabrizio time-fractional derivative |
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