Viscous and Joule Heating in the Stagnation Point Nanofluid Flow Through a Stretching Sheet With Homogenous–Heterogeneous Reactions and Nonlinear Convection

Abstract

The combined effects o f viscous and Joule heating on the stagnation point flow of a nano fluid through a stretching/shrinking sheet in the presence of homogeneous-heterogeneous reactions are investigated. The nanoparticle volume fraction model is used to describe the nanofluid. In this study, the density temperature relation is nonlinear which causes a nonlinear convective heat transfer. The surface of the sheet is assumed to be convectively heated with a hot fluid. The governing nonlinear differential equations are solved using the successive linearization method (SLM), and the results are validated by comparison with numerical approximations obtained using the matlab in-built boundary value prob lem solver bvp4c and with existing results in literature. The nanofluid problem finds applications in heat transfer devices where the density and temperature relations are complex and the viscosity of the fluid has significant effect on the heat transfer rate.

Effect of Chemical Reaction and Heat Absorption on MHD Nanoliquid Flow Past a Stretching Sheet in the Presence of a Transverse Magnetic Field

“…Thus the problem is now described by the Equations (16), (17), and (23) with the boundary conditions (20), (21) and (24). One may also wish to obtain the values of local skin friction coefficient C f x and local Nusselt number Nu x , which for the present problem are…”

“…The linearized Equations (27)- (29) are then treated with the Chebyshev pseudo-spectral collocation method whose details are well presented by Motsa et al [30] and Nandkeolyar et al [24]. The method requires initial guesses to start with, which are taken as…”

“…They encountered a reducing effect of the viscoelastic parameter on the species concentration at the surface. Recently, Kameswaran et al [22,23] and Nandkeolyar et al [24] analyzed the influences of both these chemical reactions on a nanofluid flow considering different aspects of the problem.…”

Analytical study for Soret, Hall, and Joule heating effects on natural convection flow saturated porous medium in a vertical channel

“…Hossain and Gorla [15] scrutinized the effect of Joule heating on mixed convection boundary layer flow of an electrically conducting fluid past a vertical surface in the presence of a uniform transverse magnetic field fixed relative to the surface. The combined viscous and Joule heating effects on nonlinear convection flow on stagnation point through stretching or shrinking sheet in the presence of homogeneous and heterogeneous reactions has been studied by Nandkeolyar [16].…”

Influence of Soret, Hall and Joule heating effects on mixed convection flow saturated porous medium in a vertical channel by Adomian Decomposition Method

“…Hossain and Gorla [15] scrutinized the e ect of Joule heating on mixed convection boundary layer ow of an electrically conducting uid past a vertical surface in the presence of a uniform transverse magnetic eld xed relative to the surface. The com-bined viscous and Joule heating e ects on nonlinear convection ow on stagnation point through stretching or shrinking sheet in the presence of homogeneous and heterogeneous reactions has been studied by Nandkeolyar [16]. Recently, Zhang et al [17] analyzed the Joule heating e ects of free convection participating magneto-hydrodynamics under di erent levels of thermal radiation in a square cavity with the in uence of a Hall e ect.…”