A two‐component modeling for free stream velocity in magnetohydrodynamic nanofluid flow with radiation and chemical reaction over a stretching cylinder

Abstract

This analysis explores the influence of magnetohydrodynamic (MHD) nanofluid flow over a stretching cylinder with radiation effect in presence of chemically reactive species. The thermal radiation phenomenon is incorporated in the temperature equation. The mathematical modeling of the physical problem produces nonlinear set of partial differential equations corresponding to the momentum and energy equations that can be transformed into simultaneous system of ordinary differential equations with appropriate boundary conditions by applying similarity transformations. Shooting technique is used to solve the molded equations after adoption of Runge–Kutta–Fehlberg approach and ODE45 solver in MATLAB. A parametric analysis has been carried out to investigate the impacts of physical parameters that are considered in the current study. The attractive pattern studied the consequence of Brownian motion along with thermophoresis parameter. The outcomes of prominent fluid parameters, especially heat radiation, Lewis number, free stream velocity, chemical reaction, thermophoresis, and Brownian motion on the concentration, temperature, as well as velocity have been examined and are displayed through graphs and tables. The present study reveals that the temperature phenomenon enhances with an increase in radiation parameter, while nanoparticle concentration phenomenon reduces with an increase in chemical reaction parameter.

Numerical investigation of MHD convective free stream nanofluid flow influenced by radiation and chemical reaction over stretching cylinder

“…The governing equations are 2,47,49,50 $$$\frac{\partial (ru)}{\partial x}+\frac{\partial (rv)}{\partial r}=0,$$$ $$$u\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial r}=v\left(\frac{{\partial }^{2}u}{\partial {r}^{2}}+\frac{1}{r}\frac{\partial u}{\partial r}\right)-\frac{\sigma {B}_{0}^{2}}{\rho }(u-{U}_{\infty })+{U}_{\infty }\frac{\partial {U}_{\infty }}{\partial x},$$$ $$$u\frac{\partial T}{\partial x}+v\frac{\partial T}{\partial r}=\alpha \left(\frac{{\partial }^{2}T}{\partial {r}^{2}}+\frac{1}{r}\frac{\partial T}{\partial r}\right)+\tau \left[{D}_{B}\frac{\par...$$…”

“…Ismail et al 43 analyzed heat transfer and suction due to the MHD flow of copper and alumina nanofluids past a porous stretching surface under the influence of nonlinear radiation effects. Over different boundary conditions, nanofluids are more demandable in the presence of non‐Newtonian fluids 44–48 …”

Impact of thermal radiation and non-uniform heat flux on MHD hybrid nanofluid along a stretching cylinder

“…Poply and Vinita 10 considered radiation and heat generation effects in their heat transfer analysis of nanofluid over stretching cylinder. Vinita et al 11 presented the two-components modeling of free stream velocity for MHD nanofluids over stretching cylinder. Jamshed et al 12 – 14 presented an optimal case study for evaluating unsteady nanofluid along a stretching surface, a mathematical model for heat transfer analysis of second grade nanofluid over a permeable flat surface, also done a comparative study of Williamson nanofluid by using Keller box method.…”

Finite Element Study of Bio-Convective Stefan Blowing Ag-MgO/Water Hybrid Nanofluid Induced by Stretching Cylinder Utilizing Non-Fourier and Non-Fick’s Laws

“…Vinita et al [10] explained the effect of variable slip flows in addition to thermal radiation in MHD nanofluids induced by non linear stretched surface. Vinita et al [11] examined radiation effect on MHD free stream velocity nanofluid flow induced by stretchable cylinder in presence of chemically reactive species by applying RKF technique using ODE45 solver in MATLAB. Khan et al [12] studied the applications of bio-convection nanofluid flow in presence of activation energy.…”