Analysis of Double Stratification on Magneto-Hydrodynamic Boundary Layer Flow and Heat Transfer of an Eyring-Powell Fluid

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Date
2022-03
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Kenyatta University
Abstract
Eyring-Powell fluids play important roles in many industrial and engineering applications. As technology advances, the demand for efficient and effective heat transfer systems,minimally available, increases.Fluids are being improved time after time to increase the efficiency of heat dissipation systems.Eyring-Powell, one of the fluid on advancement, has numerous applications in life such as coolant in diesel engines, heat exchangers, electronic circuits, nuclear reactors, manufacture of syrups, gels ,liquid medicines , yoghurt and the design of shapes of aircrafts and cars in that order. Among the non-Newtonian’s possessing varying characteristics is EyringPowel fluid.Due to the demand, mathematicians have formulated unlike models to describe fluid by appropriate substitution into Navier-Stokes equations. The complexity and nature of the equations attract numerous investigations. The current work aims at filling the demand gap by numerically analysing the effect of double stratification of magneto-hydro-dynamic boundary layer flow and heat transfer of a steady Eyring Powell fluid flow. The nonlinear differential equations governing the flux with appropriate boundary conditions were formulated, transformed to linear differential equations by appropriate similarity transformations. The simulation of predictor-corrector method in MATLAB odel13 function invoked with bvpSc call numerically solved the equations. The impacts of various parameters on the fluid velocity and temperature were illustrated graphically. Increasing the magnetic field strength, thermo-phoresis, thermal stratification, and solutal stratification leads to speed, temperature, Sherwood number, Nusselt number, and skin friction decrease. An increase in the magnetic field strength, thermal stratification, solutal stratification, and thermo-phoresis increases the fluid concentration. It is clear that an increase in mangetic,thermal stratification and solutal stratification reduces the velocity and temperature of the fluid under the study.
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Research Project Submitted in Partial Fulfilment of the Requirements for the Award of the Degree of Master of Science in Applied Mathematics in the School of Pure and Applied Sciences of Kenyatta University. March, 2022
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