2022, Vol. 7, Issue 3, Part B

In this article, we investigated the oscillatory flow of an electo-hydrodynamic fluid flow through a channel with a radiative heat and magnetic field. The momentum equation, energy equation, and lipid concentration equation were used to represent the problem under consideration. The dimensionless equations were reduced to ordinary differential equations using the oscillatory perturbation parameters after the partial differential equations were scaled to be dimensionless. The ordinary differential equations are directly solved.

We obtained some governing parameters during the analysis of the solution, such as thermal Grashof number, nanoparticles Grashof number, Reynolds number, wave number, radiation absorption parameter, thermophoresis parameter, electroosmotic parameter, and Schmidt number, respectively. The study was conducted to investigate the effects of the aforementioned parameters on the various flow profiles, and the results showed that the Grashof number, electroosmotic, and thermophoresis caused the fluid velocity to increase after varying them within a specific range, whereas the Brownian parameter, Reynolds number, and wave number caused the velocity to decrease. The thermophoresis and electroosmotic parameter values, on the other hand, raise the temperature of the fluid. Finally, we were able to develop a coupled system of mathematical models that represent electro-hydrodynamic fluid flow through a channel, solve it, and obtain exact solutions for the velocity profile, temperature profile, and lipid concentration profile.