scholarly journals Numerical Simulation of Darcy–Forchheimer 3D Unsteady Nanofluid Flow Comprising Carbon Nanotubes with Cattaneo–Christov Heat Flux and Velocity and Thermal Slip Conditions

Processes ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 687 ◽  
Author(s):  
Jamshaid Rahman ◽  
Umair Khan ◽  
Shafiq Ahmad ◽  
Muhammad Ramzan ◽  
Muhammad Suleman ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Heat Flux ◽  
Engine Oil ◽  
Dimensional System ◽  
Fluid Temperature ◽  
Thermal Slip ◽  
Nanofluid Flow ◽  
Multi Wall Carbon Nanotubes ◽  
Slip Conditions ◽  
Component Shape

A mathematical model comprising Darcy Forchheimer effects on the 3D nanofluid flow with engine oil as a base fluid containing suspended carbon nanotubes (CNTs) is envisioned. The CNTs are of both types i.e., multi-wall carbon nanotubes (MWCNTs) and single-walled carbon nanotubes (SWCNTs). The flow is initiated by an exponentially stretched surface. The impacts of Cattaneo–Christov heat flux along with velocity and thermal slip conditions are key factors in the novelty of the defined model. The boundary layer notion is designed to convert the compact form of equations into the component shape. Appropriate transformations lead to differential equations with high nonlinearity. The final non-dimensional system is solved numerically by a “MATLAB” function known as bvp4c. For both CNTs, different graphical sketches are drawn to present the influence of arising parameters versus related profiles. The outcomes show that higher slip parameter boosts the axial velocity, whereas fluid temperature lowers for a sturdier relaxation parameter.

scholarly journals Brownian Motion and Thermophoresis Effects on MHD Three Dimensional Nanofluid Flow with Slip Conditions and Joule Dissipation Due to Porous Rotating Disk

Molecules ◽  
2020 ◽  
Vol 25 (3) ◽  
pp. 729 ◽  
Author(s):  
Nasser Aedh Alreshidi ◽  
Zahir Shah ◽  
Abdullah Dawar ◽  
Poom Kumam ◽  
Meshal Shutaywi ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Velocity Slip ◽  
Rotating Disk ◽  
Physical Parameters ◽  
Fluid Temperature ◽  
Rotating Disc ◽  
Nanofluid Flow ◽  
Slip Conditions ◽  
Fluid Velocities ◽  
Fluid Concentration

This paper examines the time independent and incompressible flow of magnetohydrodynamic (MHD) nanofluid through a porous rotating disc with velocity slip conditions. The mass and heat transmission with viscous dissipation is scrutinized. The proposed partial differential equations (PDEs) are converted to ordinary differential equation (ODEs) by mean of similarity variables. Analytical and numerical approaches are applied to examine the modeled problem and compared each other, which verify the validation of both approaches. The variation in the nanofluid flow due to physical parameters is revealed through graphs. It is witnessed that the fluid velocities decrease with the escalation in magnetic, velocity slip, and porosity parameters. The fluid temperature escalates with heightening in the Prandtl number, while other parameters have opposite impacts. The fluid concentration augments with the intensification in the thermophoresis parameter. The validity of the proposed model is presented through Tables.

scholarly journals Unsteady Hybrid-Nanofluid Flow Comprising Ferrousoxide and CNTs Through Porous Horizontal Channel With Dilating/Squeezing Walls

2021 ◽  
Author(s):  
Muhammad Bilal ◽  
Hamna Arshad ◽  
Muhammad Ramzan
Keyword(s):  
Carbon Nanotubes ◽  
Differential Equations ◽  
Numerical Approach ◽  
Hybrid Nanofluid ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Multi Wall Carbon Nanotubes ◽  
Porous Walls ◽  
Energy Equations ◽  
Order Four

Abstract The key objective of the present research is to examine the hybrid magnetohydrodynamics (MHD) nanofluid (Carbon-nanotubes and ferrous oxide-water) CNT−Fe− 3O−4/H−2O flow into a horizontal parallel channel with thermal radiation through squeezing and dilating porous walls. The parting motion is triggered by the porous walls of the channel. The fluid flow is time-dependent and laminar. The channel is asymmetric and the upper and lower walls are distinct in temperature and porosity. With the combination of nanoparticles of Fe3O4 and single and multi-wall carbon nanotubes, the hybrid nanofluid principle is exploited. By using the similarity transformation, the set of partial differential equations (PDEs) of this mathematical model, governed by momentum and energy equations, is reduced to corresponding ordinary differential equations (ODEs). A very simple numerical approach called the Runge-Kutta system of order four along with the shooting technique is used to achieve the solutions for regulating ODEs. MATLAB computing software is used to create temperature and velocity profile graphs for various emerging parameters. At the end of the manuscript, the main conclusions are summarized.

scholarly journals The unsteady liquid film flow of the carbon nanotubes engine oil nanofluid over a non-linear radially extending surface

2020 ◽  
Vol 24 (2 Part A) ◽  
pp. 951-963 ◽  
Author(s):  
Abdullah Alzahrani ◽  
Malik Ullah ◽  
Taza Gul ◽  
Dumitru Baleanu
Keyword(s):  
Heat Transfer ◽  
Carbon Nanotubes ◽  
Single Walled Carbon Nanotubes ◽  
Engine Oil ◽  
Optimal Homotopy Analysis Method ◽  
Multi Wall Carbon Nanotubes ◽  
Single Walled Carbon ◽  
Non Linear ◽  
Walled Carbon Nanotubes ◽  
The Impact

The enhancement of heat transfer through carbon material is the objective of this study. The renowned class of carbon identified as single walled carbon nanotubes and multi walled carbon nanotubes, nanofluid-flow over a non-linear and unstable surface has been explored. The thermophysical properties of the two sorts of carbon nanotube have been implemented from the experimental outputs in the existent literature using engine oil as a base fluid. The viscous dissipation term has also been included in the energy equation improve the heat transfer rate. The thickness of the nanofluid thin layer is kept variable under the influence of the unstable and non-linear stretching of the disk. The elementary governing equations have been transformed into coupled non-linear differential equations. The problem solution is achieved through BVP 2.0 package of the optimal homotopy analysis method. The square residual error for the momentum and thermal boundary-layers up to the 20th order approximations have been obtained. The numerical ND-solve method has been used to validate the he optimal homotopy analysis method results. The impact of the model parameters vs. velocity field and temperature distribution have been shown through graphs and tables. The impact of the physical parameters on the temperature profile and velocity, pitch for both multi wall carbon nanotubes and single walled carbon nanotubes is gained in the range of 0 ? ? ? 4%. From the obtained results it is observed that the single walled carbon nanotubes nanofluids are more efficient to improve the heat transfer phenomena as compared to the multi wall carbon nanotubes.

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