Electromagnetic Flow of SWCNT/MWCNT Suspensions in Two Immiscible Water- and Engine-Oil-Based Newtonian Fluids through Porous Media (original) (raw)
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Mathematics, 2021
Recently, the topic of convection of heat transfer has created an interest among researchers because of its numerous applications in the daily life. The objective of this paper was to study theoretically the problem of mixed convection boundary layer flow and heat transfer of single-wall carbon nanotube (SWCNT) and multi-wall carbon nanotube (MWCNT) in presence of hydromagnetic effects. The problem was initiated by formulating a mathematical model in partial differential equation (PDE) for the hybrid nanofluid flow with appropriate boundary conditions. The similarity equation was used to transform the PDE into an ordinary differential equation (ODE) and solved using bvp4c in MATLAB. The graphical results on variation of skin friction coefficient, , local Nusselt number, , shear stress, and local heat flux, with the effects of magnetic, size of needle, c, mixed convection parameter, and volume fraction of nanoparticles, were presented and discussed in detail. The study revealed that ...
This paper investigate the numerical study of MHD boundary layer flow, heat and mass transfer analysis of water based nanofluids containing single and multi-walled CNTs over a vertical cone embedded in porous medium with convective boundary condition under the influence of chemical reaction and suction/injection. The similarity transformation technique is used for converting the governing non-linear partial differential equations, which represents the momentum, temperature and concentration of nanofluid, into the system of coupled ordinary differential equations. The transformed conservation equations together with boundary conditions are solved by using Finite element method. The sway of various pertinent parameters on hydrodynamic, thermal and solutal boundary layers is investigated and the results are displayed graphically. Furthermore, the values of local skin-friction coefficient, rate of temperature and concentration is also inspected for various values of non-dimensional parameters and the results are shown in tabular form. The numerical data results are compared with available data for special cases and found in good agreement. It is found that the skin-friction coefficient, Nusselt number and Sherwood number enhances with rising values of Biot number (B1) in both SWCNTs-water and MWCNTs-water based nanofluids.
MHD pulsatile flow of engine oil based carbon nanotubes between two concentric cylinders
Results in Physics, 2017
In this article, thermal performance of engine oil in the presence of both single and multiple wall carbon nanotubes (SWCNTs and MWCNTs) between two concentric cylinders is presented. Flow is driven with oscillatory pressure gradient and magneto-hydrodynamics (MHDs) effects are also introduced to control the random motion of the nanoparticles. Arrived broad, it is perceived that the inclusion of nanoparticles increases the thermal conductivity of working fluid significantly for both turbulent and laminar regimes. Fundamental momentum and energy equations are based upon partial differential equations (PDEs) that contain thermos-physical properties of both SWCNTs and MWCNTs. The solution has been evaluated for each mixture, namely: SWCNT-engine oil and MWCNT-engine oil. Results are determined for each velocity, temperature, pressure and stress gradient. Graphical results for the numerical values of the emerging parameters, namely: Hartmann number (M), the solid volume fraction of the nanoparticles (/), Reynolds number (Re x), and the pulsation parameter based on the periodic pressure gradient are analyzed for pressure difference, frictional forces, velocity profile, temperature profile, crux, streamlines and vorticity phenomena. In addition, the assets of various parameters on the flow quantities of observation are investigated.
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In the present work, an analysis of the nonlinear problem of twodimensional steady, laminar flow of an upper convected Maxwell viscoelastic fluid with species diffusion in channel containing a homogeneous, isotropic porous medium under slip condition is considered. Analytical expressions for velocity profile and the species concentration profile are obtained by using Homotopy Analysis Method (HAM). In this works, the HAM has been used to solve nonlinear differential equations with mixed (Robin) boundary conditions. It has been attempted to show the capabilities and wide-range applications of the Homotopy Analysis Method in comparison with a type of numerical analysis as Boundary Value Problem (BVP) in solving this problem. The obtained solutions, in comparison with the numeric solutions admit a remarkable accuracy.
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The discovery of hybrid carbon nanotubes shows the tendency toward the improvement of heat transfer performance in comparison to various classical fluids. This paper expands the novelty in utilizing the hybrid carbon nanotubes over vertical stretching/shrinking cylinder in presence of hydromagnetic and thermal radiation. It is essential to analyze the hydromagnetic due to its high potential capability especially in drug and gene release, hyperthermia effects as well as cell separation and manipulation in bio-medical field. The investigation on thermal radiation effect is added in this current study as it enhances the rate of heat transfer. To initiate this problem, partial differential equations (PDE) for the hybrid nanofluid flow with relevant boundary conditions (BCs) is set up and transformed into an ordinary differential equation (ODE). Adopting the similarity solutions and numerically solved using bvp4c (MATLAB). Findings on the variation of local Nusselt number, skin friction ...
Marangoni Driven Boundary Layer Flow of Carbon Nanotubes Toward a Riga Plate
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The objective of this article is to explore radiative Marangoni boundary layer flow of carbon nanotubes along a surface that is an electromagnetic actuator, such as a Riga surface. A comparative study is conducted to investigate the behavior of Lorentz forces on the basis of nanoparticle temperature fluxes with two different types of carbon nanotubes, namely single-wall carbon nanotube and multi-wall carbon nanotubes saturated into water as the base fluid. The proposed schemes of governing equations are then converted into ordinary differential equations by similarity transformation. One of best analytical methods, the homotopy analytical method, is utilized for the solution of the governing equations and the convergence of the control parameters. Embedded dimensionless parameters of the flow fields are examined via graphical illustrations. It is observed that an increase in the modified Hartmann number increases the velocity field but reduces the temperature distribution.
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The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter (Rd), magnetic parameter (M), rotation parameter (K), Prandtl number (Pr), Biot number (λ), and heat generation or absorption parameter (Q h) are plotted and deliberated graphically.
Results in Physics, 2018
Carbon nanotubes (SWCNTs and MWCNTs) Temperature jump and partial slip Nanoparticles (engine and kerosene oils) a b s t r a c t This article investigate additional physical results about the enhancement of thermophysical characteristics of carbon-water nanotube using engine and kerosene oils due to rotating porous disk. Flow in porous space is characterized by non-Darcy relation (Forchheimer medium). Both single (SWCNTs) and multiple (MWCNTs) walls carbon nanotubes are considered. Water is treated as a base material while kerosene and engine oils are used as nanomaterials. Furthermore temperature jump and partial slip is implemented at the disk surface. Transformations used lead to reduction of PDEs into ordinary ones. Optimal homotopy technique is utilized for solutions development. Optimal estimations of auxiliary variables are presented. Physics associated with the considered problem is discussed. Finally, both radial and axial velocities, tangential velocity, temperature, skin frictions and Nusselt number are analyzed fully for the outcome of physical variables. Finally, a flow diagram is presented to describe the physical features of SWCNTs and MWCNTs due to rotating disk.
International Communications in Heat and Mass Transfer, 2021
A boundary layer analysis of three dimensional electromagnetic flows of single and multi walls carbon nanotubes over the surface of a thin needle is addressed. Both single wall (SWCNTs) and multi wall (MWCNTs) are considered as nanoparticles whereas water is considered as base liquid. The energy equation is modeled by using non-linear thermal radiation because it has a major impact on the solar energy absorption capacity of nanofluid. Because of such solar energy utilization at greater scale, global warming/pollution levels can be controlled. Homogeneous-heterogeneous reactions are taken into consideration as they find their applications in catalysis, biochemical systems, combustion, batteries, corrosion phenomenon and electrolytic cells. Xue model describing the augmentation of thermal conductivity of carbon nanotubes is invoked. Entropy generation model is adopted because its minimization prevents the loss of available energy which in turn boosts the efficiency of thermal systems. Nonlinear differential equations representing flow expressions are numerically solved by shooting technique. The outcome of the present study is that velocity field lines are grown due to strengthening of electric field parameter in the flow of SWCNT-water and MWCNT-water nanofluids. Brinkman number uplifts the entropy generation.