An Unsteady Magnetohydrodynamic Jeffery Nanofluid Flow Over a Shrinking Sheet with Thermal Radiation and Convective Boundary Condition Using Spectral Quasilinearisation Method

2016 ◽  
Vol 13 (10) ◽  
pp. 7483-7492 ◽  
Author(s):  
Sicelo P Goqo ◽  
Sabyasachi Mondal ◽  
Precious Sibanda ◽  
Sandile S Motsa
Keyword(s):  
Thermal Conductivity ◽  
Boundary Condition ◽  
Thermal Radiation ◽  
Convective Boundary Condition ◽  
Shrinking Sheet ◽  
Physical Parameters ◽  
Concentration Profiles ◽  
Nanofluid Flow ◽  
Convective Boundary ◽  
Wide Range

We investigate the combined effects of a magnetic field and a convective boundary condition on unsteady Jeffrey nanofluid flow over a shrinking sheet with thermal radiation and heat generation. The effects of several important factors such as particle size and shape, the clustering of particles and the effective thermal conductivity of nanofluids has not been studied adequately. It is important for more research so as to ascertain the effects of these factors on the thermal conductivity of a wide range of nanofluids. The non-dimensional governing equations are derived and solved using a spectral quasilinearisation method. Among other findings, we show that thermal radiation enhances both the temperature and concentration profiles. Furthermore, the effects of different physical parameters on the flow velocity, temperature and concentration profiles are shown graphically and discussed in detail. Comparison with previously published work shows an excellent agreement.

scholarly journals Variable Viscosity Effects on Unsteady MHD an Axisymmetric Nanofluid Flow over a Stretching Surface with Thermo-Diffusion: FEM Approach

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 234 ◽  
Author(s):  
Bagh Ali ◽  
Rizwan Ali Naqvi ◽  
Yufeng Nie ◽  
Shahid Ali Khan ◽  
Muhammad Tariq Sadiq ◽  
...  
Keyword(s):  
Radiation Effects ◽  
Variable Viscosity ◽  
Convective Boundary Condition ◽  
Physical Parameters ◽  
Concentration Profiles ◽  
Viscous Effects ◽  
Nanofluid Flow ◽  
Convective Boundary ◽  
Buongiorno Model ◽  
Nonlinear Stretching

The present study investigated the unsteady magnetohydrodynamic (MHD) nanofluid flow over a radially nonlinear stretching sheet along with the viscosity dependent on temperature, convective boundary condition, thermo-diffusion, and the radiation effects. Moreover, the nanofluid’s viscous effects were considered dependent on temperature and the exponential Reynolds model was considered in this context. It was additionally assumed that a uniform suspension of nanoparticles is present in the base fluid. The Buongiorno model, which involves the thermophoresis and Brownian motion effects, was considered. For the sake of a solution, the variational finite element method was selected with coding in MATLAB and the numerical results were contrasted with the published articles. The influence of various physical parameters on the velocity, temperature, and concentration profiles are discussed by the aid of graphs and tables. It was detected that the nanofuid viscosity parameter declines the fluid flow velocity, while, for the temperature and the concentration profiles, it accomplished the reverse phenomenon.

scholarly journals Influence of Variable Thermal Conductivity on MHD Boundary Layer Slip Flow of Ethylene-Glycol Based Cu Nanofluids over a Stretching Sheet with Convective Boundary Condition

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
N. Bhaskar Reddy ◽  
T. Poornima ◽  
P. Sreenivasulu
Keyword(s):  
Thermal Conductivity ◽  
Boundary Layer ◽  
Boundary Condition ◽  
Stretching Sheet ◽  
Volume Fraction ◽  
Slip Flow ◽  
Velocity Slip ◽  
Convective Boundary Condition ◽  
Variable Thermal Conductivity ◽  
Convective Boundary

An analysis is carried out to investigate the influence of variable thermal conductivity and partial velocity slip on hydromagnetic two-dimensional boundary layer flow of a nanofluid with Cu nanoparticles over a stretching sheet with convective boundary condition. Using similarity transformation, the governing boundary layer equations along with the appropriate boundary conditions are transformed to a set of ordinary differential equations. Employing Runge-kutta fourth-order method along with shooting technique, the resultant system of equations is solved. The influence of various pertinent parameters such as nanofluid volume fraction parameter, the magnetic parameter, radiation parameter, thermal conductivity parameter, velocity slip parameter, Biot number, and suction or injection parameter on the velocity of the flow field and heat transfer characteristics is computed numerically and illustrated graphically. The present results are compared with the existing results for the case of regular fluid and found an excellent agreement.

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