A novel mathematical modeling with solution for movement of fluid through ciliary caused metachronal waves in a channel.

ABSTRACT: In the present research, a novel mathematical model for the motion of cilia using non-linear rheological fluid in a symmetric channel is developed. The strength of analytical perturbation technique is employed for the solution of proposed physical process using mectachoronal rhythm based on Cilia induced flow for pseudo plastic nano fluid model by considering the low Reynolds number and long wave length approximation phenomena. The role of ciliary motion for the fluid transport in various animals is explained. Analytical expressions are gathered for stream function, concentration, temperature profiles, axial velocity, and pressure gradient. Whereas, transverse velocity, pressure rise per wave length, and frictional force on the wall of the tubule are investigated with aid of numerical comp

SUBMITTER: Khan WU 

PROVIDER: S-EPMC8523557 | biostudies-literature | 2021 Oct

REPOSITORIES: biostudies-literature