Impact of Newtonian heating on the conducting Casson fluid flow past a stretching cylinder

A mathematical model is developed and an analysis is carried out for the flow of Casson fluid a non-Newtonian model past a cylinder in a permeable medium. The permeability of the medium as well as effect of heat source on the flow behavior is coined as the novelty of the said work. In the physiological study, the flow of blood via an artery, its application is useful. However, due to the deposition of fats, cholesterol, etc. on the inner wall of the artery, the area within the artery becomes narrow. Therefore, the study of Casson fluid is vital. The renovation of the governing equations involves a suitable transformation method. The coupling behavior of non-linear PDEs formulated by the momentum and energy equations are reduced into system of non-linear ODES and numerical technique is adopted by deploying the in-built matlab code bvp5c. The effect of characterizing parameters appears in the flow phenomena have been accessible through graphs. The numerical simulation of the rate coefficients are also deliberated in table.

Automated summary

A mathematical model is developed and analyzed for the flow of Casson fluid past a cylinder in a permeable medium. The novelty of this study lies in considering the permeability of the medium and the effect of a heat source on the flow behavior. The study is particularly important in the field of physiology, where the flow of blood through arteries is of interest. By transforming governing equations and using numerical techniques, the researchers were able to obtain valuable insights into the flow phenomena and provide numerical simulations of rate coefficients.