Flow and heat transfer in a porous medium saturated with a Sisko nanofluid over a nonlinearly stretching sheet with heat generation/absorption

Abstract

This work is focused on steady flow and heat transfer in a porous medium saturated with a Sisko nanofluid (nonNewtonian power-law) over a nonlinearly stretching sheet in the presence of heat generation/absorption. Nonlinear PDEs are transformed into a system of coupled nonlinear ODEs with related boundary conditions using similarity transformation. The reduced equations are then solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order method (RKF45) with Maple 14.0 software. The solutions depend on the power-law index n and the effect of pertinent parameter such as the Brownian motion parameter, thermophoresis parameter, Lewis number, the permeability, and the heat generation/absorption on the dimensionless velocity, temperature, and nanoparticles volume fraction and also on the skin friction, local Nusselt, and Sherwood numbers are produced for values of the influence parameter. A rapprochement of the numerical results of the actual study with formerly published data detected an excellent agreement. K E Y W O R D Sheat generation/absorption, non-linear stretching surface, porous medium, Sisko nanofluidHeat Transfer-Asian Res. 2018;47:54-71.wileyonlinelibrary.com/journal/htj

Numerical Treatment for Darcy‐Forchheimer Flow of Sisko Nanomaterial with Nonlinear Thermal Radiation by Lobatto IIIA Technique

“…It is considered that uniformly concentrated fluid with nanoparticles is taken at the surface of the stretching sheet. The two dimensional governing equations with boundary layer are given below [38,39]:…”

Heat transfer on magnetohydrodynamic stagnation point flow through a porous shrinking/stretching sheet: A numerical study

“…Rosali et al [10] discussed unsteady mixed convection boundary-layer flow towards a stagnation point over a heated vertical surface embedded in a porous media while in another investigation they reported stagnation-point flow and heat transfer through the porous medium [11]. Some more studies related to the porous stretching sheet can be found from references [12][13][14][15][16].…”

Impact of slip effects on unsteady Sisko nanoliquid heat and mass transfer characteristics over stretching sheet filled with gold nanoparticles

“…Soomro et al 32 deliberated Buongiorno's model Sisko nanoliquid flow over linear stretching sheet with the effect of thermophoresis and Brownian motion and noticed enhancement in heat and mass transfer rates with higher values of melting parameter. Eid et al 33 have deliberated flow, heat, and mass analysis of Sisko nanoliquid over nonlinear stretching sheet with heat absorption/generation. Pal et al 34 deliberated MHD heat and mass transfer flow of Sisko nanoliquid over stretching sheet with convective boundary condition and nonlinear thermal radiation.…”