Effect of inclined magnetic field on flow of Williamson nanofluid over an exponentially stretching surface in Darcy‐Forchheimer model

Abstract

The present study elaborates magnetohydrodynamics (MHD) boundary layer flow with heat and mass transfer of pseudo-plastic nanofluid over an exponentially stretching sheet embedded in a porous medium. Also, the effects of Brownian motion and thermophoresis on heat transfer and nanoparticle concentration are taken into account. With the help of suitable similarity transformations, the governing partial differential equations (PDEs) are transformed into a system of ordinary differential equations (ODEs). An inbuilt solver of MATLAB is being used to solve the system of mathematical equations. The effects of dimensionless parameters on the flow, heat transfer and nanoparticle concentration have been investigated. Graphs have been plotted and discussed to analyze the effects of various dimensionless parameters on velocity, temperature and concentration. As per the results, fluid velocity diminishes as the values of the aligned angle elongate, although temperature and concentration profiles reflect a switch pattern. Furthermore, as the values of Brownian motion, thermophoresis parameter and Lewis number rise, the temperature and concentration profiles rise as well. However, the concentration profiles for Brownian motion and Lewis number shows the reverse tendency.

MHD Boundary Layer Flow Past an Exponentially Stretching Sheet with Darcy-Forchheimer Flow of Nanofluids

“…The physical parameters of relevance, the skin friction coefficient C f and local Nusselt number Nu x , are derived as: (10) where τ w = µ n f…”

“…is the heat transfer rate of surface. Using similarity transformations (10) in above equations, we obtain…”

“…Pattnaik et al (9) investigated heat transfer analysis on engine oil-based hybrid nanofluid past an exponentially stretching permeable surface with Cu/Al 2 O 3 additives. Sharma and Sood (10) analyzed magneto hydrodynamics (MHD) boundary layer flow with heat and mass transfer of pseudo-plastic nanofluid over an exponentially stretching sheet embedded in a porous medium. Tiwari and Das (11) have created a single phase model with nanofluid properties as components of basic fluids and their components.…”

Non-similar bioconvective analysis of magnetized hybrid nanofluid (Ag + TiO2) flow over exponential stretching surface

“…Thakur and Sood [10] conducted a comparative study exploring the steady flow and heat transfer characteristics of various hybrid nanofluids when exposed to mixed convection alongside an exponentially stretching sheet. Sharma and Sood [11] and Jifeng et al [12] investigate the behaviour of nanofluids on an inclined stretching surface within porous media, utilizing the Darcy-Forchheimer model. Other related studies to nanofluid and hybrid nanofluid with magnetic and thermal radiation effects can be explored in the existed literature ( [13] , [14] , [15] , [16] , [17] , [18] ).…”

Squeezing Flow between Two Parallel Plates under the Effects of Maxwell Equation and Viscous Dissipation

“…To further analyze the fine point of nanofluid flow, they added the effect of the magnetic field. Sharma and Sood et al [21] Addressed the consequences of double stratifications and magnetic fields on the convective flow of Jeffrey nanoliquid. Shuaib et al [22] and Hayat et al [23] documented the slip flow with convective heat transition and variable magnetic impact.…”