A Casson nanofluid flow within the conical gap between rotating surfaces of a cone and a horizontal disc

Abstract

The present study highlights the flow of an incompressible nanofluid following the non-Newtonian flow. The non-Newtonian fluid behavior is characterized by the Casson prototype. The flow occupies the conical gap between the rotating/stationary surfaces of the cone and the horizontal disc. Heat and mass transfer is also considered. The novelty of the proposed mathematical model is supplemented with the impacts of a uniform magnetic field imposed vertically upon the flow together with Ohmic dissipation and chemical reactions. The constitutive equations of the Casson fluid have been interpreted along with the cylindrical coordinates. The governing partial differential equations of momentum, energy, and concentration are converted into a set of nonlinear ordinary differential equations via appropriate similarity transformations. This scheme leads to a set of coupled nonlinear ordinary equations concerning velocity, temperature, and nanoparticles concentration distributions. These equations are analytically solved by means of the Homotopy perturbation method (HPM). The theoretical findings are presented in both graphical and tabular forms. The main objective of this study is to discuss the effects of the rotations of both cone and disc and the effects of the other parameters in the two cases of rotation alternatively. Additionally, the effect of the angle between the cone and the disk is one of our interesting points because of the importance of its effect in some engineering industry applications. The rotation parameters are found to have reduction effects on both the temperature and the radial velocity of the fluid, while they have an enhancing effect on the azimuthal velocity. The effects of other parameters with these rotations are found to be qualitatively the same as some earlier published studies. To validate the current mathematical model, a comparison with the previous scientific reports is made.

Peristaltic transport of Rabinowitsch nanofluid with moving microorganisms

“…The analytical solution of the boundary value problem ( 23 )–( 25 ), utilizing the appropriate boarder criteria ( 26 ), was obtained by using the HPM 36 and 37 . He 36 officially is the first to solve an ODE by establishing an artificial incorporated factor into the PDEs.…”

“…Thus, HPM-based methods for resolving nonlinear problems, such as nonlinear heat transfer, fluid mechanics, and many others, have been employed. Moatimid et al 37 employed an MHD flow of an incompressible nano liquid based on the non-Newtonian Jeffrey model in their study of motile microorganisms. By using the appropriate similarity transformations, the structural PDEs of motion, energy, nanoparticle volume fraction, and microbe intensity were converted into a set of nonlinear ODEs.…”

Numerical simulation of mass and heat transport phenomena of hydromagnetic flow of Casson fluid with sinusoidal boundary conditions

“…Ahmad et al 22 used Fick's and Fourier's Laws for time fractional analysis of channel flow of couple stress Casson fluid. Nevertheless, Moatimid et al 23 inspected the Casson nanofluid flow phenomena in the conical gap between the rotating surfaces of a cone and a horizontal disc. Investigators depicted that the fluid's temperature and radial velocity both decreased as a result of the rotational parameters.…”

Heat and mass flux through a Reiner–Rivlin nanofluid flow past a spinning stretching disc: Cattaneo–Christov model

“…The non-Newtonian flow is followed by an incompressible nanofluid flow. The Casson prototype was employed for its non-Newtonian fluid behavior 32 . The flow fills up the conical space among the cone stationary, the revolving surfaces, and the horizontal disc.…”