Effects of slip on nonlinear convection in nanofluid flow on stretching surfaces

Varma

International Journal of Applied Mechanics and Engineering

2019

The stretching sheets with variable thickness may occur in engineering applications more frequently than a flat sheet. Due to its various applications, in the present analysis we considered a three dimensional unsteady MHD nanofluid flow over a stretching sheet with a variable wall thickness in a porous medium. The effects of radiation, viscous dissipation and slip boundary conditions are considered. Buongiorno's model is incorporated to study the combined effects of thermophoresis and Brownian motion. The dimensionless governing equations are solved by using MATLAB bvp4c package. The impact of various important flow parameters is presented and analysed through graphs and tables. It is interesting to note that all the three boundary layer thicknesses are diminished by slip parameters. Further, the unsteady parameter decreases the hydromagnetic boundary layer thickness.

Section: Resultsmentioning

confidence: 99%

“…Raza et al [15] examined the hydromagnetic boundary layer flow of a nanofluid in a rotating channel with the slip conditions and suction/injection. The study of nanofluid with slip conditions over a stretching sheet was carried out by the authors [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Unsteady Three-Dimensional MHD Nanofluid Flow Over a Stretching Sheet with Variable Wall Thickness and Slip Effects

Varma

International Journal of Applied Mechanics and Engineering

2019

J. nav. arch. mar. engg.

“…Haile (2015) analyzed the effects of various parameters on boundary layer nanofluid flow past a moving surface and obtained that the fluid flow and heat transfer are influenced by magnetic parameter, Brownian motion and thermophoresis parameter. Shaw et al (2016) proved that the existence and uniqueness of the solutions depends on the slip parameters, and that the region of existence of the dual solution increases with the slip parameters. Srinivasacharya et al (2015) performed that the magnetic parameter, Falkner-Skan power-law parameter and the volume fraction parameter are the key parameter for heat and mass transfer rate.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of heat and mass transfer along a stretching wedge surface

Ali¹,

Алим²,

Nasrin

et al. 2017

Abstract:In this work, the effects of dimensionless parameters on velocity field, thermal field and nanoparticle concentration field have been studied. In this regard, the governing partial differential equations are transformed into ordinary differential equations by using similarity transformations. These transformed equations are then solved numerically using the function bvp4c of MATLAB for different values of the parameters. The values of magnetic parameter have been considered as 0.0, 0.5, 1.0 & 1.5, stretching ratio as 0.0, 0.3, 0.5 & 0.7, Brownian motion as 0.0, 0.1, 0.15, 0.20, 0.3, 0.5, 0.8 & 1.5, and thermophoresis as 0.0, 0.05, 0.1, 0.14, 0.3, 0.6 & 1.0. The Prandtl number and Lewis number are taken as (1.0, 3.0 & 6.0) and (1.0, 2.0, 3.0 & 5.0 ) respectively. The results indicate that the velocity field increases for the increase in values of pressure gradient parameter, magnetic parameter and stretching ratio parameter. The temperature field decreases for the increase in values of stretching ratio parameter, Brownian motion parameter and Prandtl number but reverse result arises for the increase in values of thermophoresis parameter. The nanoparticle concentration field decreases for the increase in values of pressure gradient parameter, Brownian motion parameter andLewis number whereas it increases as thermophoresis parameter increases. Finally, for validity and accuracy, the present results has compared with previously published work and found to be in good agreement.

Frontiers in Heat and Mass Transfer

“…The effects of nonlinear convection and thermophoresis in a non-Darcy porous medium have been discussed by Kameswaran et al (2014) and concluded that the temperature and concentration boundary layer thickness reduces with enhancing values of nonlinear concentration (NDC) and temperature (NDT) parameters. Quite recently, Shaw et al (2016) focused on the behavior of non-linear thermal convection in nanofluid flow over a stretching surface.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Convective Transport Along an Inclined Plate in Non-Darcy Porous Medium Saturated by a Micropolar Fluid With Convective Boundary Condition

RamReddy¹,

Naveen²,

Srinivasacharya³

2017

The role of nonlinear variation of density with temperature (NDT) and concentration (NDC) on the free convective flow of non-Darcy micropolar fluid over an inclined plate has been studied for the first time. In addition, the modified form of thermal slip and isothermal condition is utilized to address heat transfer phenomena in nuclear plants, textile drying, and heat exchangers, etc. The respective partial differential equations and boundary conditions are cast into a sequence of the ordinary differential equation by the local non-similarity technique. The remodeled equations are simplified numerically by applying a successive linearization method (SLM). A constructive investigation emphasizing the influence of the Biot number, inclination of angle, nonlinear convection parameters on the drag coefficient, couple stress, mass and heat transfer rates. The results of this qualitative analysis are displayed graphically and the physical significance of the pertinent parameters is discussed in detail.