Analysis of Double Stratification on Magneto-Hydrodynamic Boundary Layer Flow and Heat Transfer of an Eyring-Powell Fluid
Loading...
Date
2022-03
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
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