An investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinder

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dc.contributor.advisorNurick, Gerald Nen_ZA
dc.contributor.authorNates, M Ben_ZA
dc.date.accessioned2016-04-12T09:36:32Z
dc.date.available2016-04-12T09:36:32Z
dc.date.issued1989en_ZA
dc.description.abstractThis thesis is the first stage of a project to investigate the parameters effecting the performance of tube mills. The main topics that the project will cover are the motion of mill charge and the wear characteristics of the balls and the mill liners. A literature survey highlighted that no examination had been performed that investigated the motion of a particle with specific emphasis on the response to changes in the coefficient of friction between the particle and the liner. This thesis concentrates on the motion of a single particle moving on the inside of a smooth rotating cylinder. Three formulations are presented that model the motion of the particle. The first model assumes that the particle slides along the cylinder. To ensure that it slides, and does not roll, a block shaped particle is modelled. The second motion type assumes that a spherical shaped particle rolls along the cylinder. The assumption that is made, is that the point of contact between the ball and the cylinder does not slip or skid. This mode of rolling has been defined as Pure Rolling. A third model is proposed that is a combination of the sliding and rolling models. The formulation attempts to incorporate both actions, rolling and sliding. In this way the motion of the particle.is dependent on both the rolling and sliding interactions. The governing equations for the Sliding and Rolling models are solved numerically, using an Euler Forward Approximation. Both models are solved by a computer implementation of the resulting numerical equations. The Sliding program has been extended to animate the response of the block on the inside of the cylinder. The theoretical predictions from the two numerical solutions are presented and discussed.en_ZA
dc.identifier.apacitationNates, M. B. (1989). <i>An investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinder</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering. Retrieved from http://hdl.handle.net/11427/18799en_ZA
dc.identifier.chicagocitationNates, M B. <i>"An investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinder."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1989. http://hdl.handle.net/11427/18799en_ZA
dc.identifier.citationNates, M. 1989. An investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinder. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Nates, M B AB - This thesis is the first stage of a project to investigate the parameters effecting the performance of tube mills. The main topics that the project will cover are the motion of mill charge and the wear characteristics of the balls and the mill liners. A literature survey highlighted that no examination had been performed that investigated the motion of a particle with specific emphasis on the response to changes in the coefficient of friction between the particle and the liner. This thesis concentrates on the motion of a single particle moving on the inside of a smooth rotating cylinder. Three formulations are presented that model the motion of the particle. The first model assumes that the particle slides along the cylinder. To ensure that it slides, and does not roll, a block shaped particle is modelled. The second motion type assumes that a spherical shaped particle rolls along the cylinder. The assumption that is made, is that the point of contact between the ball and the cylinder does not slip or skid. This mode of rolling has been defined as Pure Rolling. A third model is proposed that is a combination of the sliding and rolling models. The formulation attempts to incorporate both actions, rolling and sliding. In this way the motion of the particle.is dependent on both the rolling and sliding interactions. The governing equations for the Sliding and Rolling models are solved numerically, using an Euler Forward Approximation. Both models are solved by a computer implementation of the resulting numerical equations. The Sliding program has been extended to animate the response of the block on the inside of the cylinder. The theoretical predictions from the two numerical solutions are presented and discussed. DA - 1989 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1989 T1 - An investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinder TI - An investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinder UR - http://hdl.handle.net/11427/18799 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/18799
dc.identifier.vancouvercitationNates MB. An investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinder. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Mechanical Engineering, 1989 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/18799en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mechanical Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMechanical Engineeringen_ZA
dc.subject.otherBall mills - Testingen_ZA
dc.titleAn investigation into the parameters effecting the performance of tube mills : the behaviour of a single particle on the inside of a rotating cylinderen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMSc (Eng)en_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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