Analysis of joule heating and generalized slip flow in ferromagnetic nanoparticles in a curved channel using Cattaneo-Christov heat flux theory

Abstract

This paper investigates the heat transport phenomenon by utilizing Cattaneo- Christov heat flux model on magnetic nanoparticles through a semi porous curved wall channel, incorporated with generalized slip condition and bent in a circle of radius, Rc. In addition, the energy equations takes into account the impacts of heat generation and Joule heating. To construct the flow model, a curvilinear co-ordinate scheme is used. The derived PDE are converted into system of ODE by incorporating appropriate similarity variables. Numerical simulation is used to achieve a numerical solution of the flow equations by using shooting technique. The influence of various parameters on temperature, rate of heat transfer, velocity and surface drag force are analyze and discussed in detail by using graphs and table. Also a well-known finite difference technique known as Keller box method is also used to verify and validate the obtained numerical results.