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    <subfield code="a">Temperature dependent viscosity on single-phase and two-phase flow of eyring powell fluid over a vertical stretching sheet /</subfield>
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    <subfield code="a">Advancement in the study of fluid mechanics has gained worldwide attention owing to its  prominence applications in industry and engineering, those related to chemicals industries,  thermal oil recovery, food and slurry transportation, polymer and food processing. Keeping  views of its rheological features, numerous researchers have concentrated on the flows dealing  with these versatile nature fluids.  Studies have found that conventional equations such as  Navier-Stokes are unable to reliably explain the rheological behavior of some fluids, as  investigations on actual applications is expensive and risky at times. Therefore, this study  focused on the subfamily undernon-Newtonian fluid models, namely Eyring Powell fluid to  overcome these limitations. In line with this, a studyon mathematical model of a convective boundary layer under temperature-dependent viscosity on single-phase and two-phase flow  over a vertical stretching sheet with Newtonian heating (NH) boundary conditions for Eyring  Powell fluid was carried out. The key contributions of this thesis include filling the research  gap on mathematical models of Eyring Powell fluid under single-phase and two-phase flow.  Three main analyses were conducted; the first and second analysis focused on the study of  forced and mixed convection of single-phase flow, while the third analysis studied the mixed  convection under two-phase flow. The governing non-linear equations for each problem  converted into ordinary differential equation using suitable set of similarity transformation  before numerically solved by using the implicit finite difference scheme known asthe Kellerbox method (KBM). The numerical models were computed usingthe MATLAB software and  the results present the behavior of fluid flow characteristics involving non-dimensional velocity  and temperature distribution as well as skin friction and heat transfer of fluid for various nondimensional parameters  namely,  fluid  parameters,  Prandtl number, mixed convection parameter, fluid-particle interaction, specific heat ratio of mixture, mass concentration of  particle phase and viscosity parameter. The numerical solutions obtained were illustrated through graphs and tables. From the obtained results, it was observed that the investigated  parameters affect of both fluid and dust fluid characteristics, specifically skin friction, heat  transfer and the fluid&#x2019;s velocity and temperature. Under single-phase and two-phase flow,it  clearly indicates that the fluid profiles are asymptotically approached to zero, farther from the  plate, which matches the boundary condition appropriately. It is anticipated that the results in  this study will lead to a deeper understanding of the characteristics of single-phase and twophase fluid flow as well as the solutions to its flow problems.</subfield>
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