**M. Awais 1, Zahir Shah 2,\*, N. Perveen 1, Aamir Ali 1, Poom Kumam 3,4,5,\*, Habib ur Rehman <sup>3</sup> and Phatiphat Thounthong <sup>6</sup>**


Received: 27 November 2019; Accepted: 12 February 2020; Published: 19 February 2020

**Abstract:** Present theoretical investigation is a mathematical illustration of an application to endoscopy by incorporating hybrid nanoparticles and an induced magnetic field with a rheological fluid model for more realistic results. Rheological fluid behavior is characterized by the Ostwald-de-Waele power-law model. A hybrid nanofluid mechanism is considered comprising platelet-shaped nanoparticles since nanoparticles are potential drug transportation tools in biomedical applications. Moreover, ciliary activity is encountered regarding their extensive applications in performing complex functions along with buoyancy effects. An endoscope is inserted inside a ciliated tube and peristalsis occurred due to ciliary activity in the gap between tube and endoscope. A non-Newtonian model is developed by mathematical formulation which is tackled analytically using homotopy analysis. The outcomes are interpreted graphically along with the pressure rise and streamlining configuration for the case of negligible inertial forces and long wavelength. A three-dimensional graphical interpretation of axial velocity is studied as well. Moreover, tables are prepared and displayed for a more physical insight.

**Keywords:** hybrid nanofluid; induced magnetic field; mixed convection; heat generation; peristalsis; cilia beating; Non-Newtonian
