Boundary layer flow of a copper-water nanofluid over a permeable shrinking cylinder with homogenous-hetrogenous reactions: Dual solutions

Abstract

This research addresses the axi-symmetric flow of a Cu-water nanofluid past a porous shrinking cylinder in the presence of homogeneous-heterogeneous reactions. Using a similarity transformation, the basic PDE's are converted into ODE's. The transformed equations are solved using bvp4c numerically from MATLAB for several values of the physical parameters. The physical impact of governing parameters on the velocity profile, temperature profile, concentration profile as well as the skin friction coefficient, (0) f ′′ , and the heat transfer rate, (0) θ ′ − , are discussed carefully. The results indicate that the multiple solutions only exist when a certain value of suction is implemented through the permeable cylinder. Further, the curvature parameter, γ , accelerates the boundary-layer separation.

Hybrid nanofluid flow towards a stagnation point on a stretching/shrinking cylinder

“…The selection of the initial guess and the boundary layer thickness η ∞ depend on the parameter values applied to obtain the required solutions. Moreover, several researchers [50][51][52][53][54][55] were also employing this solver for solving the boundary layer flow problems. First, Eqs.…”

Dual Solutions and Stability Analysis of a Hybrid Nanofluid over a Stretching/Shrinking Sheet Executing MHD Flow

“…This model has been constructed by considering a solid volume fraction of nanoparticles in the base fluid, and, later, the governing equations have been solved numerically by employing the finite volume method. As a result, this model has been widely considered by many scientists, engineers, and mathematicians, such as Benzema et al [3], Dero et al [4], Lund et al [5,6], Dogonchi, et al [7,8], Amini, et al [9], Zaib et al [10], Raza et al [11], Rasool et al [12,13], Dinarvand et al [14], and Roşca, et al [15] to investigate different types of flow. Furthermore, to keep the demand of the high heat transfer rate from industries and other sectors, researchers have introduced a new kind of the nanofluid by considering the two different types of the solid particles in the single convectional base fluid.…”

MHD Boundary Layer Flow and Heat Transfer of Nano fluid over a Vertical Stretching Sheet in the Presence of a Heat Source

“…Younas et al [25] studied external heat and radiated heat sources. Zaib et al [26] discussed the axisymmetric flood of homogeneous-heterogeneous reactional. Sohaib et al [27] obtained the numerical solution for radiation on hydromagnetic stagnation point flow.…”