Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reaction
This article is concerned with the study of free convective unsteady magnetohydrodynamic flow of the incompressible Oldroyd-B fluid along with chemical reaction. The fluid flows on a vertical plate that is impulsively brought in motion in the presence of a constant magnetic field which is applied tr...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2020-07-01
|
| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814020937518 |
| _version_ | 1818509499025063936 |
|---|---|
| author | Saif Ullah Kareem Akhtar Nadeem Alam Khan Mehwish Mubarik |
| author_facet | Saif Ullah Kareem Akhtar Nadeem Alam Khan Mehwish Mubarik |
| author_sort | Saif Ullah |
| collection | DOAJ |
| description | This article is concerned with the study of free convective unsteady magnetohydrodynamic flow of the incompressible Oldroyd-B fluid along with chemical reaction. The fluid flows on a vertical plate that is impulsively brought in motion in the presence of a constant magnetic field which is applied transversely on the fluid. The structure has been modeled in the form of governing differential equations, which are then nondimensionalized and solved using a numerical technique, that is, Crank–Nicolson’s scheme to obtain solutions for velocity field, temperature distribution, and concentration profile. These solutions satisfy the governing equations as well as all initial and boundary conditions. The obtained solutions are new, and previous literature lacks such derivations. Some previous solutions can be recovered as limiting cases of our general solutions. The effects of thermophysical parameters, such as Reynolds number, Prandtl number, thermal Grashof number, modified Grashof number, Darcy number, Schmidt number, dissipation function, magnetic field, radiation–conduction, chemical reaction parameter, relaxation and retardation times on the velocity field, temperature, and concentration of fluid, are also examined and discussed graphically. |
| first_indexed | 2024-12-10T22:46:18Z |
| format | Article |
| id | doaj.art-81a53823e6e64565976269cc4393c946 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-10T22:46:18Z |
| publishDate | 2020-07-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-81a53823e6e64565976269cc4393c9462022-12-22T01:30:34ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402020-07-011210.1177/1687814020937518Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reactionSaif Ullah0Kareem Akhtar1Nadeem Alam Khan2Mehwish Mubarik3Department of Mathematics, Government College University, Lahore, PakistanDepartment of Mechanical Engineering, University of Engineering & Technology, Peshawar, PakistanDepartment of Computer Science, Iqra University (Gulshan Campus), Karachi, PakistanDepartment of Mathematics, Government College University, Lahore, PakistanThis article is concerned with the study of free convective unsteady magnetohydrodynamic flow of the incompressible Oldroyd-B fluid along with chemical reaction. The fluid flows on a vertical plate that is impulsively brought in motion in the presence of a constant magnetic field which is applied transversely on the fluid. The structure has been modeled in the form of governing differential equations, which are then nondimensionalized and solved using a numerical technique, that is, Crank–Nicolson’s scheme to obtain solutions for velocity field, temperature distribution, and concentration profile. These solutions satisfy the governing equations as well as all initial and boundary conditions. The obtained solutions are new, and previous literature lacks such derivations. Some previous solutions can be recovered as limiting cases of our general solutions. The effects of thermophysical parameters, such as Reynolds number, Prandtl number, thermal Grashof number, modified Grashof number, Darcy number, Schmidt number, dissipation function, magnetic field, radiation–conduction, chemical reaction parameter, relaxation and retardation times on the velocity field, temperature, and concentration of fluid, are also examined and discussed graphically.https://doi.org/10.1177/1687814020937518 |
| spellingShingle | Saif Ullah Kareem Akhtar Nadeem Alam Khan Mehwish Mubarik Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reaction Advances in Mechanical Engineering |
| title | Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reaction |
| title_full | Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reaction |
| title_fullStr | Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reaction |
| title_full_unstemmed | Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reaction |
| title_short | Study of free convective unsteady magnetohydrodynamic flow of Oldroyd-B fluid in the presence of chemical reaction |
| title_sort | study of free convective unsteady magnetohydrodynamic flow of oldroyd b fluid in the presence of chemical reaction |
| url | https://doi.org/10.1177/1687814020937518 |
| work_keys_str_mv | AT saifullah studyoffreeconvectiveunsteadymagnetohydrodynamicflowofoldroydbfluidinthepresenceofchemicalreaction AT kareemakhtar studyoffreeconvectiveunsteadymagnetohydrodynamicflowofoldroydbfluidinthepresenceofchemicalreaction AT nadeemalamkhan studyoffreeconvectiveunsteadymagnetohydrodynamicflowofoldroydbfluidinthepresenceofchemicalreaction AT mehwishmubarik studyoffreeconvectiveunsteadymagnetohydrodynamicflowofoldroydbfluidinthepresenceofchemicalreaction |