**Zahir Shah 1,\*, Ebraheem Alzahrani 2, Muhammad Jawad <sup>3</sup> and Umair Khan <sup>4</sup>**


Received: 28 August 2020; Accepted: 16 October 2020; Published: 19 October 2020

**Abstract:** In this research work, our goal is to scrutinize the case, where water-based nanofluids having single-wall and multi-wall carbon nanotubes (CNTs) flow through a vertical cone. The second law of thermodynamic is taken for the aim of scheming effective heat storage units. The body package is layered in convective heat and diluted permeable medium. The effects of Joule heating, rotary microorganisms, heat generation/absorption, chemical reactions, and heat radiation increase the novelty of the established model. By using a local similarity transformation technique, the partial differential equations (PDEs) change into a coupled differential equation. By using the numerical technique, bvp4c, to get the solution of the conservation equations and their relevant boundary conditions. The parameters appearing in the distribution analysis of the alliance are scrutinized in detail, and the consequences are depicted graphically. It can be perceived that in the situation of composed nanotubes, the velocity of fluid decreases as the magnetic field is increased.

**Keywords:** gyrotactic microorganisms; micropolar magnetohydrodynamics (MHD); Maxwell nanofluid; single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes (MWCNTs); thermal radiation; chemical reaction; mixed convection; permeability
