Thermophoresis and Brownian motion effects on peristaltic nanofluid flow for drug delivery applications

In this study a simple and highly accurate semi-analytical method called the Differential Transformation Method (DTM), is used for solving the governing equations of peristaltic nanofluid flow in drug delivery systems. The effects of thermophoresis and Brownian motion parameters on temperature and velocity fields are discussed in details. The validity of the results of DTM solution are verified via comparison with numerical results obtained using fourth order Runge-Kutta method. The results show that by increasing the Brownian motion and thermophoresis parameters the temperature profile increases. Also, results reveal that DTM is very effective and convenient. Furthermore, it is found that this method can be easily extended to other strongly nonlinear heat transfer equations and can be found widely applicable in engineering and science.