Mixed Convective-Radiative Dissipative Magnetized Micropolar Nanofluid Flow over a Stretching Surface in Porous Media with Double Stratification and Chemical Reaction Effects: ADM-Padé Computation
The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field. Eringen’s micropolar model is deployed for non-Newtonian characteristics and the Buongiorno nanofluid model employed fo...
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Published in | Journal of mathematics (Hidawi) Vol. 2022; no. 1 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Cairo
Hindawi
2022
John Wiley & Sons, Inc Wiley |
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Abstract | The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field. Eringen’s micropolar model is deployed for non-Newtonian characteristics and the Buongiorno nanofluid model employed for nanoscale effects (thermophoresis and Brownian motion). The model includes double stratification (thermal and solutal) and also chemical reaction effects, heat source, and viscous dissipation. Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. An innovative semi-numerical methodology combining the Adomian decomposition method (ADM) with Padé approximants and known as ADM-Padé is deployed to solve the emerging nonlinear ordinary differential boundary value problem with appropriate wall and free stream conditions in MATLAB software. A detailed parametric study of the influence of key parameters on stream function, velocity, microrotation (angular velocity), temperature, and nanoparticle concentration profiles is conducted. Furthermore, skin friction coefficient, wall couple stress coefficient, Nusselt number, and Sherwood number are displayed in tables. The validation of both numerical techniques used, i.e., ADM and ADM-Padé, against a conventional numerical 4th order Runge–Kutta method is also included and significant acceleration in convergence of solutions achieved with the ADM-Padé approach. The flow is decelerated with greater buoyancy ratio parameter whereas microrotation (angular velocity) is enhanced. Increasing thermal and solutal stratification suppresses microrotation. Concentration magnitudes are boosted with greater chemical reaction parameter and Lewis number. Temperatures are significantly enhanced with radiative parameter. Increasing Brownian motion parameter depletes concentration values. The study finds applications in thermomagnetic coating processes involving nanomaterials with microstructural characteristics. |
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AbstractList | The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field. Eringen’s micropolar model is deployed for non-Newtonian characteristics and the Buongiorno nanofluid model employed for nanoscale effects (thermophoresis and Brownian motion). The model includes double stratification (thermal and solutal) and also chemical reaction effects, heat source, and viscous dissipation. Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. An innovative semi-numerical methodology combining the Adomian decomposition method (ADM) with Padé approximants and known as ADM-Padé is deployed to solve the emerging nonlinear ordinary differential boundary value problem with appropriate wall and free stream conditions in MATLAB software. A detailed parametric study of the influence of key parameters on stream function, velocity, microrotation (angular velocity), temperature, and nanoparticle concentration profiles is conducted. Furthermore, skin friction coefficient, wall couple stress coefficient, Nusselt number, and Sherwood number are displayed in tables. The validation of both numerical techniques used, i.e., ADM and ADM-Padé, against a conventional numerical 4th order Runge–Kutta method is also included and significant acceleration in convergence of solutions achieved with the ADM-Padé approach. The flow is decelerated with greater buoyancy ratio parameter whereas microrotation (angular velocity) is enhanced. Increasing thermal and solutal stratification suppresses microrotation. Concentration magnitudes are boosted with greater chemical reaction parameter and Lewis number. Temperatures are significantly enhanced with radiative parameter. Increasing Brownian motion parameter depletes concentration values. The study finds applications in thermomagnetic coating processes involving nanomaterials with microstructural characteristics. The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field. Eringen’s micropolar model is deployed for non‐Newtonian characteristics and the Buongiorno nanofluid model employed for nanoscale effects (thermophoresis and Brownian motion). The model includes double stratification (thermal and solutal) and also chemical reaction effects, heat source, and viscous dissipation. Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. An innovative semi‐numerical methodology combining the Adomian decomposition method (ADM) with Padé approximants and known as ADM‐Padé is deployed to solve the emerging nonlinear ordinary differential boundary value problem with appropriate wall and free stream conditions in MATLAB software. A detailed parametric study of the influence of key parameters on stream function, velocity, microrotation (angular velocity), temperature, and nanoparticle concentration profiles is conducted. Furthermore, skin friction coefficient, wall couple stress coefficient, Nusselt number, and Sherwood number are displayed in tables. The validation of both numerical techniques used, i.e., ADM and ADM‐Padé, against a conventional numerical 4 th order Runge–Kutta method is also included and significant acceleration in convergence of solutions achieved with the ADM‐Padé approach. The flow is decelerated with greater buoyancy ratio parameter whereas microrotation (angular velocity) is enhanced. Increasing thermal and solutal stratification suppresses microrotation. Concentration magnitudes are boosted with greater chemical reaction parameter and Lewis number. Temperatures are significantly enhanced with radiative parameter. Increasing Brownian motion parameter depletes concentration values. The study finds applications in thermomagnetic coating processes involving nanomaterials with microstructural characteristics. |
Author | Bég, O. Anwar Pattnaik, P. K. Bhatti, M. M. Mishra, S. R. Abbas, Munawwar Ali |
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Cites_doi | 10.1002/aic.690070108 10.1371/journal.pone.0145332 10.1016/0022-247x(72)90106-0 10.1140/epjp/i2018-12037-7 10.1142/9789812701800_0033 10.1007/s11012-011-9502-5 10.1016/j.ijheatmasstransfer.2004.10.008 10.1007/s12043-019-1850-z 10.1016/j.aej.2015.04.010 10.1002/aic.690070211 10.1140/epjp/i2019-12286-x 10.1007/s12648-017-1022-2 10.1007/bf01587695 10.1108/09615531211208060 10.1016/j.asej.2015.08.014 10.1016/j.aej.2016.08.027 10.1016/0020-7225(64)90005-9 10.3390/math9172139 10.1007/s13370-015-0372-1 10.1016/s0020-7225(99)00051-8 10.1166/jon.2019.1635 10.1038/s41598-017-13140-6 10.1016/j.enconman.2010.08.021 10.1017/CBO9780511530074 10.1512/iumj.1967.16.16001 10.1007/s40430-017-0842-5 |
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Copyright | Copyright © 2022 P. K. Pattnaik et al. Copyright © 2022 P. K. Pattnaik et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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References | e_1_2_12_3_2 e_1_2_12_2_2 e_1_2_12_5_2 e_1_2_12_4_2 e_1_2_12_19_2 e_1_2_12_18_2 e_1_2_12_17_2 e_1_2_12_1_2 e_1_2_12_16_2 Adomian G. (e_1_2_12_27_2) 1988 e_1_2_12_15_2 e_1_2_12_20_2 e_1_2_12_21_2 e_1_2_12_22_2 e_1_2_12_23_2 e_1_2_12_24_2 Adomian G. (e_1_2_12_26_2) 1994 e_1_2_12_28_2 e_1_2_12_29_2 e_1_2_12_30_2 e_1_2_12_14_2 e_1_2_12_13_2 e_1_2_12_12_2 e_1_2_12_11_2 e_1_2_12_7_2 e_1_2_12_10_2 e_1_2_12_6_2 Modest M. (e_1_2_12_25_2) 1993 e_1_2_12_9_2 e_1_2_12_8_2 |
References_xml | – volume-title: Nonlinear Stochastic Systems Theory and Applications to Physics year: 1988 ident: e_1_2_12_27_2 – ident: e_1_2_12_1_2 doi: 10.1002/aic.690070108 – ident: e_1_2_12_22_2 doi: 10.1371/journal.pone.0145332 – ident: e_1_2_12_15_2 doi: 10.1016/0022-247x(72)90106-0 – ident: e_1_2_12_21_2 doi: 10.1140/epjp/i2018-12037-7 – ident: e_1_2_12_18_2 doi: 10.1142/9789812701800_0033 – ident: e_1_2_12_9_2 doi: 10.1007/s11012-011-9502-5 – ident: e_1_2_12_12_2 doi: 10.1016/j.ijheatmasstransfer.2004.10.008 – ident: e_1_2_12_23_2 doi: 10.1007/s12043-019-1850-z – ident: e_1_2_12_19_2 doi: 10.1016/j.aej.2015.04.010 – volume-title: Fundamental Theories of Physics year: 1994 ident: e_1_2_12_26_2 – ident: e_1_2_12_2_2 doi: 10.1002/aic.690070211 – ident: e_1_2_12_7_2 doi: 10.1140/epjp/i2019-12286-x – ident: e_1_2_12_4_2 doi: 10.1007/s12648-017-1022-2 – ident: e_1_2_12_3_2 doi: 10.1007/bf01587695 – ident: e_1_2_12_5_2 doi: 10.1108/09615531211208060 – ident: e_1_2_12_10_2 doi: 10.1016/j.asej.2015.08.014 – ident: e_1_2_12_11_2 doi: 10.1016/j.aej.2016.08.027 – ident: e_1_2_12_13_2 doi: 10.1016/0020-7225(64)90005-9 – ident: e_1_2_12_29_2 doi: 10.3390/math9172139 – volume-title: Radiative Heat Transfer year: 1993 ident: e_1_2_12_25_2 – ident: e_1_2_12_6_2 doi: 10.1007/s13370-015-0372-1 – ident: e_1_2_12_16_2 doi: 10.1016/s0020-7225(99)00051-8 – ident: e_1_2_12_8_2 doi: 10.1166/jon.2019.1635 – ident: e_1_2_12_30_2 doi: 10.1038/s41598-017-13140-6 – ident: e_1_2_12_17_2 doi: 10.1016/j.enconman.2010.08.021 – ident: e_1_2_12_28_2 doi: 10.1017/CBO9780511530074 – ident: e_1_2_12_14_2 doi: 10.1512/iumj.1967.16.16001 – ident: e_1_2_12_20_2 – ident: e_1_2_12_24_2 doi: 10.1007/s40430-017-0842-5 |
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Title | Mixed Convective-Radiative Dissipative Magnetized Micropolar Nanofluid Flow over a Stretching Surface in Porous Media with Double Stratification and Chemical Reaction Effects: ADM-Padé Computation |
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