Two-phase mixed convection nanofluid flow of a dusty tangent hyperbolic past a nonlinearly stretching sheet

Mahdy, A.; Hoshoudy, G. A.

doi:10.1186/s42787-019-0050-9

Cited by 23 publications

(13 citation statements)

References 44 publications

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“…For instance, the recent studies of Haile and Awgichew [3] revealed that the increase in hydrodynamic slip reduces the velocity of the nanofluid; but it enhances the temperature and nanoparticle volume fraction. Some other studies on boundary layer flow of nanofluids are also indicated in the cited articles [4,5,6,7,8,9,10].…”

Section: Introductionmentioning

confidence: 98%

Heat and mass transfer analysis in unsteady flow of tangent hyperbolic nanofluid over a moving wedge with buoyancy and dissipation effects

Kebede

Haile

Awgichew

et al. 2020

Heliyon

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In this study, a convective heat and mass transfer phenomena in a time-dependent boundary layer flow of tangent hyperbolic nanofluid over a permeable stretching wedge has been examined with respect to some pertinent thermo-physical parameters. Convenient similarity transformation is used to reformulate the dimensional partial differential equations into dimensionless system of ordinary differential equations. The reduced set of equations is solved by the homotopy analysis method implemented in Mathematica environment. The effects of the relevant parameters on velocity, temperature and concentration profiles were examined in detail. The impacts of the parameters on the rates of momentum, heat and mass transfer are also analyzed quantitatively in terms of the wall friction coefficient, local Nusselt number and Sherwood number, respectively. Analysis of the results reveals that the increase in the buoyancy ratio parameter facilitates the flow velocity and the increase in the dissipation parameter maximizes the temperature distribution and nanoparticle concentration near the surface of the wedge. Moreover, the analytic approximations obtained by implementing the homotopy analysis method are found in excellent agreement with some previously published results.

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Section: Introductionmentioning

confidence: 98%

Heat and mass transfer analysis in unsteady flow of tangent hyperbolic nanofluid over a moving wedge with buoyancy and dissipation effects

Kebede

Haile

Awgichew

et al. 2020

Heliyon

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“…The pertinent boundary conditions are presented as 25,43 :

\begin{matrix} \hat{u} = {\overset{u}{true}}_{w} MathClass-open(\overset{x}{true} MathClass-close), \hat{v} = 0, T = T_{w}, C = C_{w}, \hat{r} = R, \\ \hat{u}, {\overset{u}{true}}_{p} ⟶ 0, {\overset{v}{true}}_{p} ⟶ \hat{v}, T, T_{p} ⟶ \infty, C ⟶ \infty \hat{r} ⟶ \infty \end{matrix} .

…”

Section: Configuration Flow Analysismentioning

confidence: 99%

“…The impact of melting and magnetic field on heat transport in hybrid nanofluid in the presence of dust particles due to a stretching sheet was studied by Radhika et al 22 The behavior of radiative heat transfer and slip flow of hybrid nanofluid (titanium alloy and ferromagnetic nanoparticles) over a stretchable sheet containing dust nanoparticles was explained by Souayeh et al 23 Their results display that the flow of hybrid nanomaterial has a higher impact in improving the process of heat transportation comparing to the flow of regular nanofluid. There are problems that were presented by Mahdy et al 24‐26 in studying the fluid flow with the suspension of dusty particles.…”

Section: Introductionmentioning

confidence: 99%

Activation energy effectiveness in dusty Carreau fluid flow along a stretched cylinder due to nonuniform thermal conductivity property and temperature‐dependent heat source/sink

et al. 2021

Self Cite

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This article studies the boundary layer flow analysis and heat and mass transfer of magnetohydrodynamic (MHD) Carreau fluid around a stretchable circular cylinder, comprehensively studying the suspended dust particles' impact. Here, the viscous fluid is theorized to be incompressible and loaded with spherical dust particles of the same size. Additionally, heat and sink sources are examined in the thermal boundary layer in the existence of both chemical reaction and activation energy influences. A compatible similarity set of transformations are utilized to mutate the system of partial differential equation formed in momentum and temperature equations of the fluid and dust phases as well the concentration equation into a set of ordinary differential equations. Therefore, the mathematical analysis of the problem facilitates and the numerical estimates of the problem are obtained using MATLAB bvp4c function. Computations are iterated for various values of emerging physical parameters from dimensionless boundary layer conservation equations in terms of temperature and non‐Newtonian Carreau velocity of fluid and dust phases and concentration distribution. Moreover, the terminology of skin friction and Nusselt and Sherwood numbers have been obtained and studied numerically. Some interesting findings in this study are the heat transfer rate dwindles due to the increase of mass concentration of the dust particle. Also, there is a strengthening of the flow with variance in values of the curvature parameter while a weakening has been observed in the thickness of the thermal boundary layer and this hence improves the heat transfer rate. Therefore, the fluid flow around a stretched cylinder would be better, due to its multiple applications in various progressing industrial technologies such as the cement processing industry, plastic foam processing, watering system channels, and so forth. Also, activation energy plays a significant role in various areas such as the oil storage industry, geothermal, and hydrodynamics. The dusty fluid flow is very important in the field of fluid dynamics and can be found in many natural phenomena such as blood flow, the flow of mud in rivers, and atmospheric flow during mist. Moreover, MHD applications are numerous including power generation, plasma, and liquid metals, and so forth. A perfect agreement between our results and other studies available in the literature is obtained through carrying out a comparison with treating the problem in special circumstances.

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“…Prabhakar et al [5] studied the effects of inclined Lorentz forces for zero normal fluxes of nanoparticles at the stretching sheet. A brief study on BL tangent hyperbolic flow of nanofluid is explained in these articles [6][7][8][9][10][11][12][13][14][15][16][17]. Fluids in which viscosity remain constant, no matter the shear applied on the fluid with constant temperature, e.g, water, air, gasoline, and alcohol On the other hand, non-Newtonian fluids are the fluids in which when stresses applied, viscosity will be changed, for example, quicksand, cornflour-water, silly putty, ketchup, cream, paint, glue, detergents, and molten plastics.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Approach for an Unsteady Tangent Hyperbolic Nanofluid Flow past a Wedge in the Presence of Suction/Injection

Shahzad

Mushtaq

Farid

et al. 2021

Mathematical Problems in Engineering

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The analysis of unsteady tangent hyperbolic nanofluid flow past a wedge with injection-suction, because of its beneficial uses, has gained a lot of attention. The present study is mainly concerned with tangent hyperbolic nanofluid (non-Newtonian nanofluid). First, we have converted the system of partial differential equations (PDEs) to a system of ordinary differential equations (ODEs) with the help of appropriate similarity transformations. Boundary conditions are also transformed by utilizing suitable similarity transformation. Now, for the obtained ODEs, we have used the numerical technique bvp 4 c and investigated the velocity, temperature, and concentration profiles. The accuracy of the flow model is validated by applying MAPLE d-solve command having good agreement while comparing the numerical results obtained by bvp4c for both suction and injection cases. The effects of distinct dimensionless parameters on the various profiles are being analyzed. The novel features such as thermophoresis and Brownian motion are also discussed to investigate the characteristics of heat and mass transfer. Graphical representation of the impact of varying parameters and the solution method for the abovementioned model is thoroughly discussed. It was observed that suction or injection can play a key role in controlling boundary layer flow and brings stability in the flow. It was also noticed that by increasing the Darcy number, velocity profile increases in both injection-suction cases.

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Two-phase mixed convection nanofluid flow of a dusty tangent hyperbolic past a nonlinearly stretching sheet

Cited by 23 publications

References 44 publications

Heat and mass transfer analysis in unsteady flow of tangent hyperbolic nanofluid over a moving wedge with buoyancy and dissipation effects

Heat and mass transfer analysis in unsteady flow of tangent hyperbolic nanofluid over a moving wedge with buoyancy and dissipation effects

Activation energy effectiveness in dusty Carreau fluid flow along a stretched cylinder due to nonuniform thermal conductivity property and temperature‐dependent heat source/sink

A Numerical Approach for an Unsteady Tangent Hyperbolic Nanofluid Flow past a Wedge in the Presence of Suction/Injection

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