Analysis of Magnetic Resistive Flow of Generalized Brinkman Type Nanofluid Containing Carbon Nanotubes with Ramped Heating

In recent times, scientists and engineers have been most attracted to electrically conducted nanofluids due to their numerous applications in various fields of science and engineering. For example, they are used in cancer treatment (hyperthermia), magnetic resonance imaging (MRI), drug-delivery, and magnetic refrigeration (MR). Bearing in mind the significance and importance of electrically conducted nanofluids, this article aims to study an electrically conducted water-based nanofluid containing carbon nanotubes (CNTs). CNTs are of two types, single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs). The CNTs (SWCNTs and MWCNTs) have been dispersed in regular water as base fluid to form water-CNTs nanofluid. The Brinkman Type nanofluid model is developed in terms of time-fractional domain. The ramped heating and sinusoidal oscillations conditions have been taken at the boundary. The model has been solved for exact analytical solutions via the fractional Laplace transform method. The exact solutions have been graphically studied to explore the physics of various pertinent flow parameters on velocity and temperature fields. The empirical results reveal that the temperature and velocity fields decreased with increasing values of fractional parameters due to variation in thermal and momentum boundary layers. It is also indicated that the isothermal velocity and temperature are higher than ramped velocity and temperature.