scholarly journals Higher Order Chemical Reaction on MHD Nanofluid Flow with Slip Boundary Conditions: A Numerical Approach

2019 ◽  
Vol 6 (2) ◽  
pp. 293-299 ◽  
Author(s):  
Kharabela Swain ◽  
Sampada Parida ◽  
Gouranga Dash
Keyword(s):  
Boundary Conditions ◽  
Chemical Reaction ◽  
Numerical Approach ◽  
Higher Order ◽  
Slip Boundary Conditions ◽  
Nanofluid Flow ◽  
Slip Boundary ◽  
Order Chemical Reaction

Heat transfer and nanofluid flow over a porous plate with radiation and slip boundary conditions

2019 ◽  
Vol 26 (5) ◽  
pp. 1099-1115 ◽  
Author(s):  
Hamid Maleki ◽  
Jalal Alsarraf ◽  
Abbas Moghanizadeh ◽  
Hassan Hajabdollahi ◽  
Mohammad Reza Safaei
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Porous Plate ◽  
Slip Boundary Conditions ◽  
Nanofluid Flow ◽  
Slip Boundary

Computation of Rarefied Gaseous Flows in Micro to Nano Scale Channels With Slip to Transient Regimes Using General Second-Order Quadratic Elements

2008 ◽  
Author(s):  
M. Darbandi ◽  
Y. Daghighi
Keyword(s):  
Boundary Conditions ◽  
Finite Volume ◽  
Higher Order ◽  
Second Order ◽  
Navier Stokes ◽  
Computational Domain ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Nano Scale ◽  
Transient Regimes

A new finite-volume-based finite-element method using the quadratic elements is developed in the present study, to analyze the flow in micro and nano sizes with higher-order slip boundary conditions. The method is applied to gaseous flow in micro and nanoscale-channels. The developed method is carried out over a wide range of Knudsen numbers, which cover not only the continuum slip flow regime with 0≤Kn≤0.1 but also it entire the range of transient regime with 0.1<Kn≤10. To make the present computational model capable of simulating micro and nano sizes with the help of the Navier-Stokes equations, the modified high-order slip boundary conditions are applied which need utilizing the advantages of general quadratic second order elements in the computational domain. In other words, this paper introduces a new developed method, which is applied on higher-order elements, and employing reliable boundary conditions that all of these issues are used for the first time in the Micro/Nano study as well. The results reveal excellent agreement with those represented by analytical, DSMC, and Boltzmann calculations. The proposed method (using finite-volume-element strategy which benefits from the advantages of general quadratic second-order elements) is proved to be an efficient, practical, and accurate tool, which robustly extends the capability of our primitive large scale Navier-Stokes solver to micro and nano-scale flow predictions in slip and transient regimes. It can be regarded as a super alternative to classical molecular dynamics-based methods.

Heat and Mass Transfer of MHD Dissipative Casson Nanofluid Flow over a Stretching or Shrinking Sheet with Multiple Slip Boundary Conditions

2019 ◽  
Vol 393 ◽  
pp. 103-120 ◽  
Author(s):  
Emmanuel O. Titiloye ◽  
Jacob A. Gbadeyan ◽  
A.T. Adeosun
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Volume Fraction ◽  
Shrinking Sheet ◽  
Nanoparticle Volume Fraction ◽  
Slip Boundary Conditions ◽  
Nanofluid Flow ◽  
Slip Boundary ◽  
Stretching Or Shrinking Sheet

The present study concerns steady two-dimensional laminar mixed convective boundary layer Casson nanofluid flow along a stretching or shrinking sheet with multiple slip boundary conditions in a non-Darcian porous medium. The effect of viscous dissipation and non-linear radiation are considered. The governing partial differential equations, together with boundary conditions are transformed into a system of dimensionless coupled ordinary differential equations. Galerkin weighted residual method is then employed to solve the transformed coupled ordinary differential equations. The effect of various controlling parameters on dimensionless velocity, temperature, nanoparticle volume fraction, velocity gradient, temperature gradient and nanoparticle volume fraction gradient are presented graphically and discussed. The present approach is validated by comparing the result of this work and those available in the literature, and they are found to be in excellent agreement.

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