Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction

dc.contributor.advisorShateyi, S.
dc.contributor.advisorMuzhinji, K,
dc.contributor.authorMolaudzi, Vhutshilo
dc.date.accessioned2022-09-23T08:30:54Z
dc.date.available2022-09-23T08:30:54Z
dc.date.issued2022-07-15
dc.descriptionMSc (Mathematics)en_ZA
dc.descriptionDepartment of Mathematical and Computational Sciences
dc.description.abstractIn this study, we present the effect of two-dimensional magnetohydrodynamics of a nanofluid over a stretching sheet in the presence of chemical reaction, as well as heat generation or absorption. The partial differential equations are reduced to coupled nonlinear ordinary differential equations using similarity transformations, which are then solved numerically using spectral local linearization and spectral relaxation methods. The effects of different parameters, Lewis number, Eckert number, stretching, chemical reaction, local Reynolds number, Prandtl number, constant, heat source, Brownian motion, and Thermophoresis are analysed and compared. The numerical results for velocity, temperature, skin friction coefficient, concentration, Sherwood number, and Nusselt number are presented in tabular form and visualized graphically. The findings of the spectral local linearization and spectral relaxation methods are very similar to the bvp4c method’s results. When compared to the spectral relaxation method, the results from the spectral local linearization method were more effective. We found that the velocity profile are increased with increasing values of the Grashof number (Gr). Since Grashof number (Gr) is ratio of buoyancy to viscous forces in the boundary layer it causes an increase in the buoyancy forces relative to the viscous forces which influence the velocity in the boundary layer region. An increase in the heat source/sink parameter (S) results in the increase in velocity and temperature, but a decrease in concentration. The concentration diffusion species were reduced due to the heat source/sink parameter (S). The results also show that heat generation increases the momentum and thermal boundary layer thickness while decreasing the nanofluid concentration boundary layer thickness.en_ZA
dc.description.sponsorshipNRFen_ZA
dc.format.extent1 online resource (x, 56 leaves)
dc.format.extentMolaudzi V. (2021) Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction. University of Venda. South Africa.<http://hdl.handle.net/11602/2311>.
dc.identifier.apacitationMolaudzi, V. (2022). <i>Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction</i>. (). . Retrieved from http://hdl.handle.net/11602/2311en_ZA
dc.identifier.chicagocitationMolaudzi, Vhutshilo. <i>"Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction."</i> ., , 2022. http://hdl.handle.net/11602/2311en_ZA
dc.identifier.citationMolaudzi, V. 2022. Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction. . . http://hdl.handle.net/11602/2311en_ZA
dc.identifier.ris TY - Dissertation AU - Molaudzi, Vhutshilo AB - In this study, we present the effect of two-dimensional magnetohydrodynamics of a nanofluid over a stretching sheet in the presence of chemical reaction, as well as heat generation or absorption. The partial differential equations are reduced to coupled nonlinear ordinary differential equations using similarity transformations, which are then solved numerically using spectral local linearization and spectral relaxation methods. The effects of different parameters, Lewis number, Eckert number, stretching, chemical reaction, local Reynolds number, Prandtl number, constant, heat source, Brownian motion, and Thermophoresis are analysed and compared. The numerical results for velocity, temperature, skin friction coefficient, concentration, Sherwood number, and Nusselt number are presented in tabular form and visualized graphically. The findings of the spectral local linearization and spectral relaxation methods are very similar to the bvp4c method’s results. When compared to the spectral relaxation method, the results from the spectral local linearization method were more effective. We found that the velocity profile are increased with increasing values of the Grashof number (Gr). Since Grashof number (Gr) is ratio of buoyancy to viscous forces in the boundary layer it causes an increase in the buoyancy forces relative to the viscous forces which influence the velocity in the boundary layer region. An increase in the heat source/sink parameter (S) results in the increase in velocity and temperature, but a decrease in concentration. The concentration diffusion species were reduced due to the heat source/sink parameter (S). The results also show that heat generation increases the momentum and thermal boundary layer thickness while decreasing the nanofluid concentration boundary layer thickness. DA - 2022-07-15 DB - ResearchSpace DP - Univen KW - boundary layer flow KW - heat transfer KW - mass transfer KW - nano fluid KW - magnetohydrodynamics KW - heat generation/absorption LK - https://univendspace.univen.ac.za PY - 2022 T1 - Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction TI - Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction UR - http://hdl.handle.net/11602/2311 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11602/2311
dc.identifier.vancouvercitationMolaudzi V. Computational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reaction. []. , 2022 [cited yyyy month dd]. Available from: http://hdl.handle.net/11602/2311en_ZA
dc.language.isoenen_ZA
dc.rightsUniversity of Venda
dc.subjectboundary layer flowen_ZA
dc.subjectUCTDen_ZA
dc.subjectmass transferen_ZA
dc.subjectnano fluiden_ZA
dc.subjectmagnetohydrodynamicsen_ZA
dc.subjectheat generation/absorptionen_ZA
dc.subject.ddc538.6
dc.subject.ddcMagnetohydrodynamics
dc.subject.lcshMagnetohydrodynamic waves
dc.subject.lcshMagnetohydrodynamic generator.
dc.titleComputational analysis of magnetohydrodynamics boundary layer flow of nanofluid over a stretching sheet in the presence of heat generation or absorption and chemical reactionen_ZA
dc.typeDissertationen_ZA

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