Explanatory and numerical examination of the fractional conditions of blood stream in a limit, slanted supply route utilizing the Akbari Ganji technique

Abstract

This paper investigates the flow of blood through a slanted stenosed artery beneath the impact of a magnetism field. The equations that control the behavior of blood use a type of derivative called Caputo Fabrizio time fractional derivatives. These equations explain that blood acts like a non-Newtonian Casson fluid. The objective of this study is to explore the governing equations of blood flow in a narrow artery by utilizing Caputo Fabrizio fractional derivatives. Using the Laplace and limited Hankel changes of arrange zero, expository arrangements for the overseeing conditions have been inferred. Using the Akbari Ganji method, simple math problems have been solved and transformed into simpler forms. Answers have been found using this method. This article introduces a new approach by applying the AGM analytical and numerical method to address dimensionless fractional equations related to velocity and pressure, in conjunction with the Capato method, marking a significant innovation. Generally, the velocity of the particles is slower than the velocity of the blood. Anyway, the Reynolds number and Casson's liquid parameters are incrementing in both blood and molecule velocities. However, blood velocity diminishes with an increment within the Hartmann number. These discoveries hold noteworthy suggestions for the progress of atherosclerosis treatment. The narrowing of the diameter of the blood vessel with a radius of 45° and a relative percentage of 35 increases the flow resistance and height of the stenosis.