A mathematical study of natural convection flow through a channel with non-singular kernels: An application to transport phenomena
In this manuscript, we have obtained closed form solution using Laplace transform, inversion algorithm and convolution theorem. The study of mass transfer flow of an incompressible fluid is carried out near vertical channel. Recently, new classes of differential operators have been introduced and re...
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| Vydané v: | Alexandria engineering journal Ročník 59; číslo 4; s. 2269 - 2281 |
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| Jazyk: | English |
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Elsevier B.V
01.08.2020
Elsevier |
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| ISSN: | 1110-0168 |
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| Abstract | In this manuscript, we have obtained closed form solution using Laplace transform, inversion algorithm and convolution theorem. The study of mass transfer flow of an incompressible fluid is carried out near vertical channel. Recently, new classes of differential operators have been introduced and recognized to be efficient in capturing processes following the decay law and the crossover behaviors. For the study of heat and mass transfer, we applied the newly differential operators say Atangana-Baleanu (ABC) and Caputo-Fabrizio (CF) to model such flow. This model for temperature, concentration and velocity gradient is presented in dimensionless form. The obtained solutions have been plotted for various values physical parameters like α,Df,Gm,Gr,Sc and Pr on temperature and velocity profile. Our results suggest that for the variation of time the velocity behavior for CF and ABC are reversible. Finally, an incremental value of prandtl number is observed for decrease in the velocity field which reflects the control of thickness of momentum and enlargement of thermal conductivity. Further, dynamical analysis of fluid with memory effect are efficient for ABC as compared to CF. |
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| AbstractList | In this manuscript, we have obtained closed form solution using Laplace transform, inversion algorithm and convolution theorem. The study of mass transfer flow of an incompressible fluid is carried out near vertical channel. Recently, new classes of differential operators have been introduced and recognized to be efficient in capturing processes following the decay law and the crossover behaviors. For the study of heat and mass transfer, we applied the newly differential operators say Atangana-Baleanu (ABC) and Caputo-Fabrizio (CF) to model such flow. This model for temperature, concentration and velocity gradient is presented in dimensionless form. The obtained solutions have been plotted for various values physical parameters like α,Df,Gm,Gr,Sc and Pr on temperature and velocity profile. Our results suggest that for the variation of time the velocity behavior for CF and ABC are reversible. Finally, an incremental value of prandtl number is observed for decrease in the velocity field which reflects the control of thickness of momentum and enlargement of thermal conductivity. Further, dynamical analysis of fluid with memory effect are efficient for ABC as compared to CF. |
| Author | Baleanu, Dumitru Saeed, Syed Tauseef Riaz, Muhammad Bilal Abro, Kashif Ali |
| Author_xml | – sequence: 1 givenname: Syed Tauseef surname: Saeed fullname: Saeed, Syed Tauseef email: tauseefsaeed301@gmail.com organization: Department of Sciences & Humanities, National University of Computer & Emerging Sciences, 54000 Lahore, Pakistan – sequence: 2 givenname: Muhammad Bilal surname: Riaz fullname: Riaz, Muhammad Bilal organization: Department of Mathematics, University of Management and Technology Lahore, Pakistan – sequence: 3 givenname: Dumitru surname: Baleanu fullname: Baleanu, Dumitru organization: Department of Mathematics, Cankaya University, Turkey – sequence: 4 givenname: Kashif Ali surname: Abro fullname: Abro, Kashif Ali organization: Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan |
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| Cites_doi | 10.1016/j.physa.2016.07.073 10.1016/j.apt.2016.04.005 10.1016/j.euromechflu.2015.08.013 10.1063/1.5084035 10.1140/epjp/i2015-15251-9 10.1016/j.chaos.2019.05.014 10.1016/j.chaos.2018.12.001 10.1007/s11012-012-9567-9 10.1063/1.5079644 10.30538/oms2018.0033 10.3934/dcdss.2020430 10.1016/j.euromechflu.2016.04.003 10.1016/j.asej.2015.08.014 10.1186/s40064-015-1426-4 10.1016/j.chaos.2018.10.006 10.1016/j.ijmultiphaseflow.2009.11.002 10.1007/s11012-010-9321-0 10.1007/s10973-018-7897-0 10.1016/j.chaos.2018.10.010 10.1016/j.molliq.2016.11.095 10.1243/09544089JPME318 10.4314/ijest.v7i2.8 10.1115/1.4003240 10.1080/104077802317221447 10.1016/j.chaos.2018.07.032 |
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| Issue | 4 |
| Keywords | Convection flow Dufour effect Convolution Inversion algorithm Mass transfer Modern fractional operator |
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| References | Khan, Shah, Zaman, Jarad (b0165) 2019; 29 Siyal, Abro, Solangi (b0090) 2019; 136 T. Abdeljawad, M.B. Riaz, S.T. Saeed, A. Atangana, Role of Local and Non-Local Kernels on MHD Flow of Oldroyd-B Fluid under Effect of Ramped Wall Temperature and Velocity (submitted for publication). E.K. Akgüla, Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives, Chaos: An Interdiscip. J. Nonlinear Sci., 29 (2), 023108. Narahari (b0080) 2012; 47 Atangana (b0095) 2016; 273 Pattnaik, Dash, Singh (b0140) 2017; 8 A. Akgül, A novel method for a fractional derivative with non-local and non-singular kernel, Chaos, Solit. Fract., vol. 114, pp. 478–482. Fossa, Tanda (b0015) 2010; 36 Caputo, Fabrizio (b0105) 2015; 1 Ismael, Pop, Chamkha (b0030) 2014; 82 Jha, Ajibade (b0005) 2011; 133 Ismail, Hussanan, Khan, Shafie (b0055) 2013; 45 Chamkha (b0050) 2002; 41 Reddy, Chamkha (b0075) 2016; 27 Imran, Aleem, Riaz, Ali, Khan (b0155) 2018; 118 Kalidas (b0040) 2012; 79 Chamkha, Mohamed, Ahmed (b0065) 2011; 46 Ravichandrana, Logeswaria, Jarad (b0160) 2019; 125 M.B. Riaz, S.T. Saeed, Comprehensive analysis of integer order, Caputo-Fabrizio and Atangana-Baleanu fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent bounday conditions. Discr. Continuous Dynam. Syst., 2020 (in press). Narahari, Tippa, Pendyala, Nayan (b0085) 2015 Chamkha, Khaled, Khaled (b0045) 2000; 10 Imran, Khan, Ahmad, Shah, Nazar (b0120) 2017; 229 Florio, Harnoy (b0010) 2007; 46 Umavathi, Sheremet, Mohiuddin (b0025) 2016 Umavathi, Kumar, Sheremet (b0060) 2017; 465 Shah, Hajizadeh, Zeb, Ahmad, Mahsud, Animasaun (b0135) 2018; 2 Jarada, Abdeljawadb, Hammouchc (b0170) 2018; 117 Umavathi, Sheremet (b0020) 2016; 55 Narahari, Sowmya, Rajashekhar (b0035) 2015; 130 M.B. Riaz, A. Atangana, T. Saeed, MHD free convection flow over a vertical plate with ramped wall temperature and chemical reaction in view of non-singular kernel. (Book Chapter) Publisher: Wiley, ISBN: 9781119654162. O Ajibade, Jha (b0070) 2010; 224 Shahid (b0145) 2015; 4 Iyad, Abdeljawad, Jarad (b0100) 2018; 117 Seth, Kumbhakar, Sarkar (b0130) 2015; 7 Das, Sharma, Sarkar (b0125) 2016; 3 Umavathi (10.1016/j.aej.2020.02.012_b0060) 2017; 465 Shahid (10.1016/j.aej.2020.02.012_b0145) 2015; 4 Fossa (10.1016/j.aej.2020.02.012_b0015) 2010; 36 Seth (10.1016/j.aej.2020.02.012_b0130) 2015; 7 10.1016/j.aej.2020.02.012_b0180 Iyad (10.1016/j.aej.2020.02.012_b0100) 2018; 117 Florio (10.1016/j.aej.2020.02.012_b0010) 2007; 46 Umavathi (10.1016/j.aej.2020.02.012_b0020) 2016; 55 Narahari (10.1016/j.aej.2020.02.012_b0035) 2015; 130 Caputo (10.1016/j.aej.2020.02.012_b0105) 2015; 1 Chamkha (10.1016/j.aej.2020.02.012_b0050) 2002; 41 O Ajibade (10.1016/j.aej.2020.02.012_b0070) 2010; 224 Chamkha (10.1016/j.aej.2020.02.012_b0045) 2000; 10 Imran (10.1016/j.aej.2020.02.012_b0120) 2017; 229 Narahari (10.1016/j.aej.2020.02.012_b0085) 2015 Pattnaik (10.1016/j.aej.2020.02.012_b0140) 2017; 8 Khan (10.1016/j.aej.2020.02.012_b0165) 2019; 29 Imran (10.1016/j.aej.2020.02.012_b0155) 2018; 118 Ravichandrana (10.1016/j.aej.2020.02.012_b0160) 2019; 125 Jha (10.1016/j.aej.2020.02.012_b0005) 2011; 133 Ismail (10.1016/j.aej.2020.02.012_b0055) 2013; 45 Siyal (10.1016/j.aej.2020.02.012_b0090) 2019; 136 Shah (10.1016/j.aej.2020.02.012_b0135) 2018; 2 Narahari (10.1016/j.aej.2020.02.012_b0080) 2012; 47 Umavathi (10.1016/j.aej.2020.02.012_b0025) 2016 Reddy (10.1016/j.aej.2020.02.012_b0075) 2016; 27 Kalidas (10.1016/j.aej.2020.02.012_b0040) 2012; 79 Das (10.1016/j.aej.2020.02.012_b0125) 2016; 3 Ismael (10.1016/j.aej.2020.02.012_b0030) 2014; 82 10.1016/j.aej.2020.02.012_b0150 Jarada (10.1016/j.aej.2020.02.012_b0170) 2018; 117 10.1016/j.aej.2020.02.012_b0175 10.1016/j.aej.2020.02.012_b0110 10.1016/j.aej.2020.02.012_b0115 Chamkha (10.1016/j.aej.2020.02.012_b0065) 2011; 46 Atangana (10.1016/j.aej.2020.02.012_b0095) 2016; 273 |
| References_xml | – volume: 36 start-page: 210 year: 2010 end-page: 220 ident: b0015 article-title: Frost formation in vertical channels under natural convection publication-title: Int. J. Multiph. Flow – volume: 45 start-page: 77 year: 2013 end-page: 86 ident: b0055 article-title: MHD and radiation effects on natural convection flow in a porous medium past an infinite inclined plate with ramped wall temperature: an exact analysis publication-title: Int. J. Appl. Math. Stat. – volume: 117 start-page: 50 year: 2018 end-page: 59 ident: b0100 article-title: Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences publication-title: Chaos, Solit. Fract. – volume: 3 start-page: 330 year: 2016 end-page: 336 ident: b0125 article-title: Heat and mass transfer of a second grade magnetohydrodynamic fluid over a convectively heated stretching sheet publication-title: J. Comput. Des. Eng. – year: 2016 ident: b0025 article-title: Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction publication-title: Eur. J. Mech. B/Fluids – volume: 1 start-page: 1 year: 2015 end-page: 13 ident: b0105 article-title: A new definition of fractional derivative without singular kernel publication-title: Progr. Fract. Differ. Appl. – volume: 136 start-page: 2295 year: 2019 end-page: 2304 ident: b0090 article-title: Thermodynamics of magnetohydrodynamic Brinkman fluid in porous medium publication-title: J. Therm. Anal. Calorim. – volume: 130 start-page: 251 year: 2015 ident: b0035 article-title: Ramped temperature and Dufour effects on transient MHD natural convection flow past an infinite vertical plate in a porous medium publication-title: Eur. Phys. J. Plus – volume: 273 start-page: 948 year: 2016 end-page: 956 ident: b0095 article-title: On the new fractional derivative and application to nonlinear fishers reaction–diffusion equation publication-title: Appl. Math. Comput – reference: T. Abdeljawad, M.B. Riaz, S.T. Saeed, A. Atangana, Role of Local and Non-Local Kernels on MHD Flow of Oldroyd-B Fluid under Effect of Ramped Wall Temperature and Velocity (submitted for publication). – volume: 47 start-page: 1961 year: 2012 end-page: 1976 ident: b0080 article-title: Transient free convection flow between long vertical parallel plates with ramped wall temperature at one boundary in the presence of thermal radiation and constant mass diffusion publication-title: Meccanica – volume: 4 start-page: 640 year: 2015 ident: b0145 article-title: study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate publication-title: SpringerPlus – volume: 133 year: 2011 ident: b0005 article-title: Diffusion-thermo effects on free convective heat and mass transfer flow in a vertical channel with symmetric boundary conditions publication-title: J. Heat Transf. – reference: M.B. Riaz, A. Atangana, T. Saeed, MHD free convection flow over a vertical plate with ramped wall temperature and chemical reaction in view of non-singular kernel. (Book Chapter) Publisher: Wiley, ISBN: 9781119654162. – volume: 79 year: 2012 ident: b0040 article-title: Magnetohydrodynamics free convection flow of a radiating and chemically reacting fluid past an impulsively moving plate with ramped wall temperature publication-title: J. Appl. Mech. – volume: 46 start-page: 399 year: 2011 end-page: 411 ident: b0065 article-title: Unsteady MHD natural convection from a heated vertical porous plate in a micropolar fluid with Joule heating, chemical reaction and radiation effects publication-title: Meccanica – volume: 29 year: 2019 ident: b0165 article-title: Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative publication-title: Chaos – volume: 8 start-page: 67 year: 2017 end-page: 75 ident: b0140 article-title: Radiation and mass transfer effects on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature publication-title: Ain Shams Eng. J. – volume: 125 start-page: 194 year: 2019 end-page: 200 ident: b0160 article-title: New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations publication-title: Chaos, Solit. Fract. – volume: 2 start-page: 253 year: 2018 end-page: 265 ident: b0135 article-title: Effect of magnetic field on double convection flow of viscous fluid over a moving vertical plate with constant temperature and general concentration by using new trend of fractional derivative publication-title: Open J. Math. Sci. – reference: M.B. Riaz, S.T. Saeed, Comprehensive analysis of integer order, Caputo-Fabrizio and Atangana-Baleanu fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent bounday conditions. Discr. Continuous Dynam. Syst., 2020 (in press). – volume: 118 start-page: 274 year: 2018 end-page: 289 ident: b0155 article-title: A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions publication-title: Chaos, Solit. Fract. – volume: 41 start-page: 65 year: 2002 end-page: 87 ident: b0050 article-title: Double-diffusive convection in a porous enclosure with cooperating temperature and concentration gradients and heat generation or absorption effects publication-title: Numer. Heat Transf. Part A Appl. – year: 2015 ident: b0085 article-title: Ramped temperature effect on unsteady MHD natural convection flow past an infinite inclined plate in the presence of radiation, heat source and chemical reaction publication-title: Recent Advances in Applied and Theoretical Mechanics – volume: 27 start-page: 1207 year: 2016 end-page: 1218 ident: b0075 article-title: Soret and Dufour effects on MHD convective flow of Al2O3–water and TiO2–water nanofluids past a stretching sheet in porous media with heat generation/absorption publication-title: Adv. Powder Technol. – volume: 7 start-page: 94 year: 2015 end-page: 108 ident: b0130 article-title: Soret and Hall effects on unsteady MHD free convection flow of radiating and chemically reactive fluid past a moving vertical plate with ramped temperature in rotating system publication-title: Int. J. Eng., Sci. Technol. – volume: 224 start-page: 91 year: 2010 end-page: 101 ident: b0070 article-title: Free convection heat and mass transfer flow in a vertical channel with the Dufour effect publication-title: Proc. Inst. Mech. Eng. Part E J. Mech. Eng. – volume: 465 start-page: 195 year: 2017 end-page: 216 ident: b0060 article-title: Heat and mass transfer in a vertical double passage channel filled with electrically conducting fluid publication-title: Phys. A – volume: 82 start-page: 47 year: 2014 end-page: 61 ident: b0030 article-title: Mixed convection in a lid-driven square cavity with partial slip publication-title: Int. J. Sci. – volume: 10 start-page: 477 year: 2000 ident: b0045 article-title: Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid–saturated porous medium publication-title: Int. J. Numer. Methods Heat Fluid Flow – reference: A. Akgül, A novel method for a fractional derivative with non-local and non-singular kernel, Chaos, Solit. Fract., vol. 114, pp. 478–482. – volume: 229 start-page: 67 year: 2017 end-page: 75 ident: b0120 article-title: Heat and mass transport of differential type fluid with non-integer order time-fractional Caputo derivatives publication-title: J. Mol. Liq. – volume: 55 start-page: 132 year: 2016 end-page: 145 ident: b0020 article-title: Mixed convection flow of an electrically conducting fluid in a vertical channel using Robin boundary conditions with heat source/sink publication-title: Eur. J. Mech. B/Fluids – reference: E.K. Akgüla, Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives, Chaos: An Interdiscip. J. Nonlinear Sci., 29 (2), 023108. – volume: 46 start-page: 76 year: 2007 end-page: 92 ident: b0010 article-title: Combination technique for improving natural convection cooling in electronics publication-title: Int. J. Sci. – volume: 117 start-page: 16 year: 2018 end-page: 20 ident: b0170 article-title: On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative Chaos publication-title: Solit. Fract. – volume: 79 year: 2012 ident: 10.1016/j.aej.2020.02.012_b0040 article-title: Magnetohydrodynamics free convection flow of a radiating and chemically reacting fluid past an impulsively moving plate with ramped wall temperature publication-title: J. Appl. Mech. – volume: 465 start-page: 195 year: 2017 ident: 10.1016/j.aej.2020.02.012_b0060 article-title: Heat and mass transfer in a vertical double passage channel filled with electrically conducting fluid publication-title: Phys. A doi: 10.1016/j.physa.2016.07.073 – volume: 27 start-page: 1207 year: 2016 ident: 10.1016/j.aej.2020.02.012_b0075 article-title: Soret and Dufour effects on MHD convective flow of Al2O3–water and TiO2–water nanofluids past a stretching sheet in porous media with heat generation/absorption publication-title: Adv. Powder Technol. doi: 10.1016/j.apt.2016.04.005 – volume: 46 start-page: 76 year: 2007 ident: 10.1016/j.aej.2020.02.012_b0010 article-title: Combination technique for improving natural convection cooling in electronics publication-title: Int. J. Sci. – volume: 55 start-page: 132 year: 2016 ident: 10.1016/j.aej.2020.02.012_b0020 article-title: Mixed convection flow of an electrically conducting fluid in a vertical channel using Robin boundary conditions with heat source/sink publication-title: Eur. J. Mech. B/Fluids doi: 10.1016/j.euromechflu.2015.08.013 – ident: 10.1016/j.aej.2020.02.012_b0110 – volume: 1 start-page: 1 year: 2015 ident: 10.1016/j.aej.2020.02.012_b0105 article-title: A new definition of fractional derivative without singular kernel publication-title: Progr. Fract. Differ. Appl. – volume: 82 start-page: 47 year: 2014 ident: 10.1016/j.aej.2020.02.012_b0030 article-title: Mixed convection in a lid-driven square cavity with partial slip publication-title: Int. J. Sci. – ident: 10.1016/j.aej.2020.02.012_b0180 doi: 10.1063/1.5084035 – volume: 130 start-page: 251 year: 2015 ident: 10.1016/j.aej.2020.02.012_b0035 article-title: Ramped temperature and Dufour effects on transient MHD natural convection flow past an infinite vertical plate in a porous medium publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/i2015-15251-9 – volume: 125 start-page: 194 year: 2019 ident: 10.1016/j.aej.2020.02.012_b0160 article-title: New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations publication-title: Chaos, Solit. Fract. doi: 10.1016/j.chaos.2019.05.014 – volume: 45 start-page: 77 year: 2013 ident: 10.1016/j.aej.2020.02.012_b0055 article-title: MHD and radiation effects on natural convection flow in a porous medium past an infinite inclined plate with ramped wall temperature: an exact analysis publication-title: Int. J. Appl. Math. Stat. – volume: 10 start-page: 477 issue: 455 year: 2000 ident: 10.1016/j.aej.2020.02.012_b0045 article-title: Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid–saturated porous medium publication-title: Int. J. Numer. Methods Heat Fluid Flow – volume: 118 start-page: 274 year: 2018 ident: 10.1016/j.aej.2020.02.012_b0155 article-title: A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions publication-title: Chaos, Solit. Fract. doi: 10.1016/j.chaos.2018.12.001 – ident: 10.1016/j.aej.2020.02.012_b0115 – volume: 47 start-page: 1961 year: 2012 ident: 10.1016/j.aej.2020.02.012_b0080 article-title: Transient free convection flow between long vertical parallel plates with ramped wall temperature at one boundary in the presence of thermal radiation and constant mass diffusion publication-title: Meccanica doi: 10.1007/s11012-012-9567-9 – volume: 29 year: 2019 ident: 10.1016/j.aej.2020.02.012_b0165 article-title: Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative publication-title: Chaos doi: 10.1063/1.5079644 – volume: 2 start-page: 253 year: 2018 ident: 10.1016/j.aej.2020.02.012_b0135 article-title: Effect of magnetic field on double convection flow of viscous fluid over a moving vertical plate with constant temperature and general concentration by using new trend of fractional derivative publication-title: Open J. Math. Sci. doi: 10.30538/oms2018.0033 – ident: 10.1016/j.aej.2020.02.012_b0150 doi: 10.3934/dcdss.2020430 – year: 2016 ident: 10.1016/j.aej.2020.02.012_b0025 article-title: Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction publication-title: Eur. J. Mech. B/Fluids doi: 10.1016/j.euromechflu.2016.04.003 – volume: 8 start-page: 67 year: 2017 ident: 10.1016/j.aej.2020.02.012_b0140 article-title: Radiation and mass transfer effects on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature publication-title: Ain Shams Eng. J. doi: 10.1016/j.asej.2015.08.014 – volume: 4 start-page: 640 year: 2015 ident: 10.1016/j.aej.2020.02.012_b0145 article-title: study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate publication-title: SpringerPlus doi: 10.1186/s40064-015-1426-4 – volume: 273 start-page: 948 year: 2016 ident: 10.1016/j.aej.2020.02.012_b0095 article-title: On the new fractional derivative and application to nonlinear fishers reaction–diffusion equation publication-title: Appl. Math. Comput – volume: 117 start-page: 16 year: 2018 ident: 10.1016/j.aej.2020.02.012_b0170 article-title: On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative Chaos publication-title: Solit. Fract. doi: 10.1016/j.chaos.2018.10.006 – volume: 36 start-page: 210 year: 2010 ident: 10.1016/j.aej.2020.02.012_b0015 article-title: Frost formation in vertical channels under natural convection publication-title: Int. J. Multiph. Flow doi: 10.1016/j.ijmultiphaseflow.2009.11.002 – volume: 46 start-page: 399 year: 2011 ident: 10.1016/j.aej.2020.02.012_b0065 article-title: Unsteady MHD natural convection from a heated vertical porous plate in a micropolar fluid with Joule heating, chemical reaction and radiation effects publication-title: Meccanica doi: 10.1007/s11012-010-9321-0 – volume: 136 start-page: 2295 year: 2019 ident: 10.1016/j.aej.2020.02.012_b0090 article-title: Thermodynamics of magnetohydrodynamic Brinkman fluid in porous medium publication-title: J. Therm. Anal. Calorim. doi: 10.1007/s10973-018-7897-0 – volume: 117 start-page: 50 year: 2018 ident: 10.1016/j.aej.2020.02.012_b0100 article-title: Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences publication-title: Chaos, Solit. Fract. doi: 10.1016/j.chaos.2018.10.010 – volume: 229 start-page: 67 year: 2017 ident: 10.1016/j.aej.2020.02.012_b0120 article-title: Heat and mass transport of differential type fluid with non-integer order time-fractional Caputo derivatives publication-title: J. Mol. Liq. doi: 10.1016/j.molliq.2016.11.095 – volume: 3 start-page: 330 year: 2016 ident: 10.1016/j.aej.2020.02.012_b0125 article-title: Heat and mass transfer of a second grade magnetohydrodynamic fluid over a convectively heated stretching sheet publication-title: J. Comput. Des. Eng. – volume: 224 start-page: 91 year: 2010 ident: 10.1016/j.aej.2020.02.012_b0070 article-title: Free convection heat and mass transfer flow in a vertical channel with the Dufour effect publication-title: Proc. Inst. Mech. Eng. Part E J. Mech. Eng. doi: 10.1243/09544089JPME318 – year: 2015 ident: 10.1016/j.aej.2020.02.012_b0085 article-title: Ramped temperature effect on unsteady MHD natural convection flow past an infinite inclined plate in the presence of radiation, heat source and chemical reaction – volume: 7 start-page: 94 year: 2015 ident: 10.1016/j.aej.2020.02.012_b0130 article-title: Soret and Hall effects on unsteady MHD free convection flow of radiating and chemically reactive fluid past a moving vertical plate with ramped temperature in rotating system publication-title: Int. J. Eng., Sci. Technol. doi: 10.4314/ijest.v7i2.8 – volume: 133 year: 2011 ident: 10.1016/j.aej.2020.02.012_b0005 article-title: Diffusion-thermo effects on free convective heat and mass transfer flow in a vertical channel with symmetric boundary conditions publication-title: J. Heat Transf. doi: 10.1115/1.4003240 – volume: 41 start-page: 65 year: 2002 ident: 10.1016/j.aej.2020.02.012_b0050 article-title: Double-diffusive convection in a porous enclosure with cooperating temperature and concentration gradients and heat generation or absorption effects publication-title: Numer. Heat Transf. Part A Appl. doi: 10.1080/104077802317221447 – ident: 10.1016/j.aej.2020.02.012_b0175 doi: 10.1016/j.chaos.2018.07.032 |
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| SubjectTerms | Convection flow Convolution Dufour effect Inversion algorithm Mass transfer Modern fractional operator |
| Title | A mathematical study of natural convection flow through a channel with non-singular kernels: An application to transport phenomena |
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