the analysis of the effect of porosity changes on the casson flow velocity profiles

in this paper, changes of casson non-newtonian fluid velocity profile, for different distribution of porosity, have been investigated. for distribution of porosity, fixed, radial and exponential variations has been considered. for all three states, brinkman model has been used as momentum equation. since the casson fluid is a good model for blood, this analysis can be used in studying about cholesterol and fat in the blood. for all of the desired states, general movement equation and casson equation have been analysed for finding the velocity distribution and finally the results of all three states and newtonian state have been shown and compared.