Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect
In this paper, the numerical solutions for magneto-hydrodynamic Hiemenz fluid over a nonlinear stretching sheet and the Brownian motion effects of nanoparticles through a porous medium with chemical reaction and radiation are studied. The repercussions of thermophoresis and mass transfer at the stag...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/28/1/21 |
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| author | Faisal Salah Abdelmgid O. M. Sidahmed K. K. Viswanathan |
| author_facet | Faisal Salah Abdelmgid O. M. Sidahmed K. K. Viswanathan |
| author_sort | Faisal Salah |
| collection | DOAJ |
| description | In this paper, the numerical solutions for magneto-hydrodynamic Hiemenz fluid over a nonlinear stretching sheet and the Brownian motion effects of nanoparticles through a porous medium with chemical reaction and radiation are studied. The repercussions of thermophoresis and mass transfer at the stagnation point flow are discussed. The plate progresses in the contrary direction or in the free stream orientation. The underlying PDEs are reshaped into a set of ordinary differential equations employing precise transformation. They are addressed numerically using the successive linearization method, which is an efficient systematic process. The main goal of this study is to compare the solutions obtained using the successive linearization method to solve the velocity and temperature equations in the presence of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>m</mi></semantics></math></inline-formula> changes, thereby demonstrating its accuracy and suitability for solving nonlinear differential equations. For comparison, tables containing the results are presented. This contrast is significant because it demonstrates the accuracy with which a set of nonlinear differential equations can be solved using the successive linearization method. The resulting solution is examined and discussed with respect to a number of engineering parameters. Graphs exemplify the simulation of distinct parameters that govern the motion factors. |
| first_indexed | 2024-03-11T08:28:16Z |
| format | Article |
| id | doaj.art-5271e3db7a214bbf9ea7b903982bedb9 |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-11T08:28:16Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-5271e3db7a214bbf9ea7b903982bedb92023-11-16T21:58:10ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472023-02-012812110.3390/mca28010021Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation EffectFaisal Salah0Abdelmgid O. M. Sidahmed1K. K. Viswanathan2Department of Mathematics, College of Science & Arts, King Abdul-Aziz University, Rabigh 21911, Saudi ArabiaDepartment of Mathematics, College of Science & Arts, King Abdul-Aziz University, Rabigh 21911, Saudi ArabiaDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, 15, University Blvd., Samarkand 140104, UzbekistanIn this paper, the numerical solutions for magneto-hydrodynamic Hiemenz fluid over a nonlinear stretching sheet and the Brownian motion effects of nanoparticles through a porous medium with chemical reaction and radiation are studied. The repercussions of thermophoresis and mass transfer at the stagnation point flow are discussed. The plate progresses in the contrary direction or in the free stream orientation. The underlying PDEs are reshaped into a set of ordinary differential equations employing precise transformation. They are addressed numerically using the successive linearization method, which is an efficient systematic process. The main goal of this study is to compare the solutions obtained using the successive linearization method to solve the velocity and temperature equations in the presence of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>m</mi></semantics></math></inline-formula> changes, thereby demonstrating its accuracy and suitability for solving nonlinear differential equations. For comparison, tables containing the results are presented. This contrast is significant because it demonstrates the accuracy with which a set of nonlinear differential equations can be solved using the successive linearization method. The resulting solution is examined and discussed with respect to a number of engineering parameters. Graphs exemplify the simulation of distinct parameters that govern the motion factors.https://www.mdpi.com/2297-8747/28/1/21Hiemenz flowMHDthermal radiationnonlinear stretchingchemical reactionSLM |
| spellingShingle | Faisal Salah Abdelmgid O. M. Sidahmed K. K. Viswanathan Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect Mathematical and Computational Applications Hiemenz flow MHD thermal radiation nonlinear stretching chemical reaction SLM |
| title | Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect |
| title_full | Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect |
| title_fullStr | Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect |
| title_full_unstemmed | Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect |
| title_short | Chemical MHD Hiemenz Flow over a Nonlinear Stretching Sheet and Brownian Motion Effects of Nanoparticles through a Porous Medium with Radiation Effect |
| title_sort | chemical mhd hiemenz flow over a nonlinear stretching sheet and brownian motion effects of nanoparticles through a porous medium with radiation effect |
| topic | Hiemenz flow MHD thermal radiation nonlinear stretching chemical reaction SLM |
| url | https://www.mdpi.com/2297-8747/28/1/21 |
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