Numerically framing the impact of magnetic field on nanofluid flow over a curved stretching surface with convective heating

Abstract

Purpose Outstanding features such as thermal conductivity and superior electrical conductivity of nanofluids unfold a new window in the context of their extensive applications in engineering and industrial domains. The purpose of this study to simulate numerically the magneto-nanofluid flow and heat transfer over a curved stretching surface. Heat transport is explored in the presence of viscous dissipation. At the curved surface, the convective boundary condition is adopted. Three different nanoparticles, namely, copper, aluminium oxide and titanium dioxide are taken into consideration because of easily available in nature. Design/methodology/approach The basic flow equations are framed in terms of curvilinear coordinates. The modelled partial differential equations are transformed into a system of non-linear ordinary differential equations by means of appropriate similarity transformation. The subsequent non-linear system of equations is then solved numerically by using the Runge–Kutta–Felhberg method with the shooting scheme via bvp4c MATLAB built-in function. Impacts of various physical parameters on velocity, pressure and temperature distributions, local skin-friction coefficient, local Nusselt number and wall temperature are portrayed through graphs and tables followed by a comprehensive debate and physical interpretation. Findings Graphical results divulge that augmenting values of the magnetic parameter cause a decline in velocity profiles and stream function inside the boundary layer. The magnitude of the pressure function inside the boundary layer reduces for higher estimation of curvature parameter, and it is also zero when the curvature parameter goes to infinity. Furthermore, the temperature is observed in a rising trend with growing values of the magnetic parameter and Biot number. Practical implications This research study is very pertinent to the expulsion of polymer sheet and photographic films, metallurgical industry, electrically-conducting polymer dynamics, magnetic material processing, rubber and polymer sheet processing, continuous casting of metals, fibre spinning, glass blowing and fibre, wire and fibre covering and sustenance stuff preparing, etc. Originality/value Despite the huge amount of literature available, but still, very little attention is given to simulate the flow configuration due to the curved stretching surface with the convective boundary condition. Very few papers have been examined on this topic and found that its essence inside the boundary layer is not any more insignificant than on account of a stretching sheet. A numerical comparison with the published works is conducted to verify the accuracy of the present study.

Modeling and simulation for Cattaneo–Christov heat analysis of entropy optimized hybrid nanomaterial flow

“…The governing equations satisfy: 44–49 with 50–52 In the above expressions ( u , v ) depict velocity components, μ hnf the dynamic viscosity, ρ hnf the density, ( r , s ) signify the Cartesian coordinates, σ hnf the electrical conductivity, the inertia coefficient, k p the porous medium permeability coefficient, R the radius of curvature, ( ρc p ) hnf the heat capacitance, C b the drag force coefficient, L the reference length, T the temperature, k hnf the thermal conductivity, c p the specific heat, T ∞ the ambient temperature, δ E the heat relaxation time, B 0 the magnetic field strength, T w the wall temperature and p the pressure.…”